Details

analyze2.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	0%	50%	2

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample38.0ms (0.1%)

Algorithm

1×

intervals

Results

15.0ms	69×	body	1024	valid
7.0ms	134×	body	128	valid
6.0ms	37×	body	512	valid
2.0ms	16×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify420.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

807×	`associate-/l/_binary64_2753`
508×	`exp-prod_binary64_2858`
416×	`swap-sqr_binary64_2773`
332×	`associate--l+_binary64_2743`
278×	`associate--l-_binary64_2744`
261×	`associate-/r/_binary64_2752`
255×	`associate--r-_binary64_2745`
232×	`distribute-rgt1-in_binary64_2762`
231×	`unsub-neg_binary64_2800`
173×	`distribute-rgt-neg-in_binary64_2764`
172×	`distribute-lft-neg-in_binary64_2763`
120×	`distribute-neg-in_binary64_2767`
112×	`sub-neg_binary64_2799`
101×	`exp-sum_binary64_2852`
94×	`distribute-rgt-in_binary64_2756`
76×	`exp-diff_binary64_2854`
74×	`neg-mul-1_binary64_2802`
73×	`neg-sub0_binary64_2801`
70×	`*-commutative_binary64_2737`
69×	`sqr-pow_binary64_2778`
66×	`distribute-lft-neg-out_binary64_2765`
63×	`distribute-rgt-neg-out_binary64_2766`
59×	`distribute-neg-out_binary64_2768`
57×	`distribute-neg-frac_binary64_2770`
56×	`distribute-frac-neg_binary64_2769`
52×	`pow-sqr_binary64_2779` `distribute-rgt-out_binary64_2759`
48×	`pow-plus_binary64_2869`
47×	`associate-r_binary64_2746`
42×	`associate-+l-_binary64_2741`
40×	`associate--r+_binary64_2742`
38×	`distribute-rgt-out--_binary64_2760`
34×	`distribute-lft-in_binary64_2755` `associate-/l*_binary64_2751` `associate-+l+_binary64_2739`
33×	`cancel-sign-sub-inv_binary64_2772`
28×	`associate-+r+_binary64_2738`
26×	`associate-+r-_binary64_2740`
25×	`sub0-neg_binary64_2793`
24×	`div-sub_binary64_2811`
21×	`+-commutative_binary64_2736`
20×	`associate-l_binary64_2747`
18×	`distribute-lft1-in_binary64_2761`
14×	`sqr-neg_binary64_2820`
11×	`exp-neg_binary64_2853` `-rgt-identity_binary64_2796` `-lft-identity_binary64_2795` `remove-double-neg_binary64_2794` `associate-/r*_binary64_2750`
9×	`exp-lft-sqr_binary64_2861` `times-frac_binary64_2812`
8×	`cube-unmult_binary64_2843` `difference-of-squares_binary64_2775`
7×	`distribute-lft-out--_binary64_2758` `distribute-lft-out_binary64_2757` `count-2_binary64_2754` `associate-*l/_binary64_2749`
6×	`/-rgt-identity_binary64_2797` `+-inverses_binary64_2785` `unswap-sqr_binary64_2774`
5×	`pow-base-1_binary64_2866` `--rgt-identity_binary64_2792` `mul0-lft_binary64_2788` `div0_binary64_2787`
4×	`cube-prod_binary64_2834` `+-rgt-identity_binary64_2791` `mul0-rgt_binary64_2789` `associate-*r/_binary64_2748`
2×	`rem-square-sqrt_binary64_2818` `+-lft-identity_binary64_2790` `difference-of-sqr-1_binary64_2776`
1×	`exp-sqrt_binary64_2859` `prod-exp_binary64_2855` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `cube-div_binary64_2835` `cube-neg_binary64_2833` `rem-sqrt-square_binary64_2819` `*-inverses_binary64_2786` `difference-of-sqr--1_binary64_2777` `cancel-sign-sub_binary64_2771`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `log-pow_binary64_2895` `log-rec_binary64_2894` `log-div_binary64_2893` `log-prod_binary64_2892` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `unpow3_binary64_2872` `unpow2_binary64_2871` `unpow1/2_binary64_2870` `exp-to-pow_binary64_2868` `unpow0_binary64_2865` `unpow1_binary64_2864` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-cbrt_binary64_2860` `div-exp_binary64_2857` `rec-exp_binary64_2856` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-mult_binary64_2836` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `mul-1-neg_binary64_2798` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `remove-double-div_binary64_2782`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	14	17
2	20	17
3	28	17
4	42	17
5	79	17
6	143	17
7	542	17
8	1952	17

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	0	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

20.3b

Counts

3 → 1

Compiler

Compiled 33 to 28 computations (15.2% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
0.2b	(/.f64 1 (sqrt.f64 x))
1.7b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite230.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

19.7b

Rules

127×	`add-sqr-sqrt_binary64_2828`
118×	`times-frac_binary64_2812`
117×	`*-un-lft-identity_binary64_2806`
76×	`sqrt-prod_binary64_2822`
56×	`add-cube-cbrt_binary64_2841`
27×	`cancel-sign-sub-inv_binary64_2772`
25×	`difference-of-squares_binary64_2775`
13×	`distribute-lft-out--_binary64_2758` `associate-/r*_binary64_2750`
12×	`add-exp-log_binary64_2844`
11×	`distribute-lft-out_binary64_2757`
9×	`pow1_binary64_2867`
8×	`add-cbrt-cube_binary64_2842`
7×	`div-inv_binary64_2803`
6×	`add-log-exp_binary64_2845` `sqrt-div_binary64_2823` `pow-flip_binary64_2880` `associate-/l*_binary64_2751`
4×	`associate-/r/_binary64_2752` `div-exp_binary64_2857`
3×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `pow1/2_binary64_2886` `sqrt-pow1_binary64_2824`
2×	`inv-pow_binary64_2891` `1-exp_binary64_2850` `rec-exp_binary64_2856` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805`
1×	`diff-log_binary64_2898` `frac-sub_binary64_2815` `flip3--_binary64_2810` `sub-neg_binary64_2799` `flip--_binary64_2781` `rem-sqrt-square_binary64_2819`

Counts

4 → 189

Calls

4 calls:

33.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
4.0ms	(/.f64 1 (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 3837 to 2945 computations (23.2% saved)

series46.0ms (0.1%)

Error

20.0b

Counts

4 → 18

Calls

4 calls:

12.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
10.0ms	(sqrt.f64 (+.f64 x 1))
9.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
6.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 561 to 462 computations (17.6% saved)

simplify6.3s (9.8%)

Algorithm

1×	egg-herbie

Rules

942×	`unsub-neg_binary64_2800`
371×	`associate-/l*_binary64_2751`
264×	`associate-/l/_binary64_2753`
243×	`neg-mul-1_binary64_2802`
235×	`sub-neg_binary64_2799`
229×	`associate-/r/_binary64_2752`
216×	`neg-sub0_binary64_2801`
200×	`exp-to-pow_binary64_2868`
193×	`*-commutative_binary64_2737`
192×	`associate-/r*_binary64_2750`
186×	`div-sub_binary64_2811`
185×	`+-commutative_binary64_2736`
170×	`exp-prod_binary64_2858`
166×	`distribute-rgt-out_binary64_2759`
149×	`distribute-rgt-neg-in_binary64_2764`
142×	`distribute-rgt-out--_binary64_2760`
118×	`log-prod_binary64_2892`
113×	`cancel-sign-sub-inv_binary64_2772`
111×	`distribute-neg-frac_binary64_2770` `distribute-rgt-in_binary64_2756`
100×	`distribute-lft-neg-in_binary64_2763`
99×	`distribute-lft-in_binary64_2755`
96×	`distribute-lft-neg-out_binary64_2765`
91×	`cube-prod_binary64_2834`
86×	`sqr-pow_binary64_2778`
81×	`log-div_binary64_2893`
74×	`associate--l-_binary64_2744`
71×	`associate-+l-_binary64_2741`
63×	`distribute-rgt-neg-out_binary64_2766`
62×	`cube-div_binary64_2835` `associate-*r/_binary64_2748`
58×	`unswap-sqr_binary64_2774` `associate-*l/_binary64_2749` `associate--r+_binary64_2742`
57×	`distribute-lft-out_binary64_2757`
56×	`exp-sum_binary64_2852` `sub0-neg_binary64_2793`
54×	`pow-plus_binary64_2869`
52×	`log-pow_binary64_2895` `distribute-lft-out--_binary64_2758`
49×	`times-frac_binary64_2812`
47×	`pow-sqr_binary64_2779`
45×	`exp-diff_binary64_2854` `associate-+r-_binary64_2740`
44×	`distribute-frac-neg_binary64_2769`
41×	`*-rgt-identity_binary64_2796` `associate--l+_binary64_2743`
38×	`associate-+l+_binary64_2739`
35×	`swap-sqr_binary64_2773`
34×	`difference-of-squares_binary64_2775` `associate-r_binary64_2746`
33×	`unpow3_binary64_2872`
32×	`*-lft-identity_binary64_2795`
29×	`distribute-neg-out_binary64_2768`
28×	`mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `associate-l_binary64_2747` `associate--r-_binary64_2745`
24×	`/-rgt-identity_binary64_2797` `+-lft-identity_binary64_2790`
22×	`cube-mult_binary64_2836`
21×	`associate-+r+_binary64_2738`
20×	`+-rgt-identity_binary64_2791`
19×	`pow-base-1_binary64_2866`
17×	`cancel-sign-sub_binary64_2771`
16×	`log-rec_binary64_2894` `rem-sqrt-square_binary64_2819`
15×	`sqr-neg_binary64_2820` `div0_binary64_2787` `distribute-rgt1-in_binary64_2762`
12×	`exp-neg_binary64_2853` `distribute-neg-in_binary64_2767`
11×	`exp-lft-sqr_binary64_2861` `remove-double-div_binary64_2782`
10×	`exp-sqrt_binary64_2859`
9×	`cube-unmult_binary64_2843`
7×	`prod-exp_binary64_2855` `cube-neg_binary64_2833`
4×	`rem-square-sqrt_binary64_2818` `mul-1-neg_binary64_2798` `difference-of-sqr-1_binary64_2776` `count-2_binary64_2754`
2×	`exp-lft-cube_binary64_2862` `div-exp_binary64_2857` `rem-log-exp_binary64_2847` `rem-cbrt-cube_binary64_2830` `*-inverses_binary64_2786` `difference-of-sqr--1_binary64_2777`
1×	`unpow2_binary64_2871` `unpow1_binary64_2864` `rec-exp_binary64_2856` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-exp-log_binary64_2846` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `sqr-abs_binary64_2821` `+-inverses_binary64_2785` `rgt-mult-inverse_binary64_2783` `distribute-lft1-in_binary64_2761`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `unpow1/2_binary64_2870` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-cbrt_binary64_2860` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-cube-cbrt_binary64_2829` `remove-double-neg_binary64_2794` `--rgt-identity_binary64_2792` `lft-mult-inverse_binary64_2784`

Counts

207 → 686

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	239	3971
1	573	3407
2	1305	3393
3	3636	3233
4	3838	3218

prune1.9s (2.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	674	12	686
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	675	12	687

Error

19.7b

Counts

687 → 12

Compiler

Compiled 15577 to 11688 computations (25% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
0.2b	(/.f64 1 (sqrt.f64 x))
0.3b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))))
1.6b	(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))

rewrite1.2s (1.9%)

Algorithm

1×	rewrite-expression-head

Error

19.5b

Rules

1332×	`*-un-lft-identity_binary64_2806`
1249×	`times-frac_binary64_2812`
725×	`add-sqr-sqrt_binary64_2828`
429×	`distribute-lft-out_binary64_2757`
304×	`sqrt-prod_binary64_2822`
293×	`add-cube-cbrt_binary64_2841`
180×	`distribute-lft-out--_binary64_2758`
168×	`div-inv_binary64_2803`
162×	`difference-of-squares_binary64_2775`
29×	`associate-/r*_binary64_2750`
28×	`associate-/l*_binary64_2751`
18×	`cancel-sign-sub-inv_binary64_2772`
14×	`add-exp-log_binary64_2844`
10×	`add-cbrt-cube_binary64_2842`
8×	`pow1_binary64_2867`
7×	`associate-/r/_binary64_2752`
6×	`add-log-exp_binary64_2845` `pow-flip_binary64_2880`
5×	`div-exp_binary64_2857`
3×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `associate-/l/_binary64_2753`
2×	`frac-sub_binary64_2815` `flip3--_binary64_2810` `flip--_binary64_2781` `inv-pow_binary64_2891` `pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `1-exp_binary64_2850` `rec-exp_binary64_2856` `sqrt-div_binary64_2823`
1×	`diff-log_binary64_2898` `sub-neg_binary64_2799` `div-sub_binary64_2811` `frac-add_binary64_2814`

Counts

4 → 554

Calls

4 calls:

59.0ms	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))))
18.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
7.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
4.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 19722 to 15860 computations (19.6% saved)

series122.0ms (0.2%)

Error

5.5b

Counts

4 → 24

Calls

4 calls:

36.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
33.0ms	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))))
24.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
7.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 1187 to 969 computations (18.4% saved)

simplify22.2s (34.5%)

Algorithm

1×	egg-herbie

Rules

428×	`distribute-rgt-in_binary64_2756`
359×	`div-sub_binary64_2811`
308×	`times-frac_binary64_2812`
287×	`associate-/l*_binary64_2751`
266×	`cancel-sign-sub-inv_binary64_2772`
205×	`associate-/r*_binary64_2750`
193×	`associate-/l/_binary64_2753`
174×	`sub-neg_binary64_2799`
173×	`distribute-neg-frac_binary64_2770`
152×	`distribute-rgt-neg-in_binary64_2764`
148×	`associate-/r/_binary64_2752`
118×	`unswap-sqr_binary64_2774`
110×	`*-commutative_binary64_2737`
109×	`distribute-lft-neg-in_binary64_2763`
88×	`associate-r_binary64_2746`
86×	`neg-sub0_binary64_2801`
82×	`neg-mul-1_binary64_2802`
77×	`associate-l_binary64_2747`
73×	`associate-*l/_binary64_2749`
67×	`distribute-rgt-out--_binary64_2760`
66×	`exp-prod_binary64_2858`
65×	`distribute-lft-neg-out_binary64_2765`
64×	`distribute-rgt-out_binary64_2759`
62×	`associate-*r/_binary64_2748` `+-commutative_binary64_2736`
57×	`distribute-lft-in_binary64_2755`
55×	`/-rgt-identity_binary64_2797`
52×	`cube-prod_binary64_2834` `*-rgt-identity_binary64_2796`
50×	`sqr-pow_binary64_2778` `difference-of-squares_binary64_2775`
45×	`distribute-rgt-neg-out_binary64_2766`
42×	`log-prod_binary64_2892`
39×	`cube-div_binary64_2835`
33×	`log-div_binary64_2893`
28×	`pow-sqr_binary64_2779`
25×	`unsub-neg_binary64_2800` `distribute-neg-in_binary64_2767`
23×	`*-lft-identity_binary64_2795` `swap-sqr_binary64_2773`
21×	`associate--l+_binary64_2743`
20×	`distribute-lft-out_binary64_2757`
18×	`distribute-neg-out_binary64_2768`
15×	`associate-+r-_binary64_2740`
14×	`associate--r+_binary64_2742`
13×	`pow-plus_binary64_2869` `distribute-lft-out--_binary64_2758`
11×	`rem-sqrt-square_binary64_2819`
10×	`unpow3_binary64_2872`
9×	`exp-sum_binary64_2852`
8×	`associate-+l+_binary64_2739`
7×	`exp-diff_binary64_2854` `cube-mult_binary64_2836` `+-rgt-identity_binary64_2791` `distribute-frac-neg_binary64_2769`
6×	`log-rec_binary64_2894` `div0_binary64_2787` `distribute-rgt1-in_binary64_2762`
5×	`log-pow_binary64_2895` `cube-unmult_binary64_2843`
4×	`rem-square-sqrt_binary64_2818` `*-inverses_binary64_2786`
3×	`pow-base-1_binary64_2866` `mul-1-neg_binary64_2798` `difference-of-sqr-1_binary64_2776`
2×	`div-exp_binary64_2857` `difference-of-sqr--1_binary64_2777` `distribute-lft1-in_binary64_2761` `associate-+r+_binary64_2738`
1×	`unpow2_binary64_2871` `unpow1_binary64_2864` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `1-exp_binary64_2850` `rem-log-exp_binary64_2847` `rem-3cbrt-lft_binary64_2831` `rem-cbrt-cube_binary64_2830` `remove-double-neg_binary64_2794` `+-inverses_binary64_2785` `remove-double-div_binary64_2782` `associate--r-_binary64_2745` `associate-+l-_binary64_2741`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `unpow1/2_binary64_2870` `exp-to-pow_binary64_2868` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `exp-neg_binary64_2853` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `rem-exp-log_binary64_2846` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `sub0-neg_binary64_2793` `--rgt-identity_binary64_2792` `+-lft-identity_binary64_2790` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `cancel-sign-sub_binary64_2771` `count-2_binary64_2754` `associate--l-_binary64_2744`

Counts

578 → 2413

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	529	23759
1	1159	21857
2	3083	21786

prune8.9s (13.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	2410	3	2413
Fresh	10	1	11
Picked	1	0	1
Done	0	0	0
Total	2421	4	2425

Error

4.9b

Counts

2425 → 4

Compiler

Compiled 82730 to 66143 computations (20% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
0.2b	(/.f64 1 (sqrt.f64 x))
0.4b	(/.f64 (+.f64 1 0) (*.f64 x (+.f64 1 x)))
5.1b	(/.f64 (/.f64 (+.f64 1 0) (*.f64 x (+.f64 1 x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))))

rewrite748.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

469×	`times-frac_binary64_2812` `*-un-lft-identity_binary64_2806`
199×	`distribute-lft-out_binary64_2757`
160×	`sqrt-prod_binary64_2822`
148×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828`
65×	`div-inv_binary64_2803`
41×	`associate-/r/_binary64_2752`
36×	`associate-*r/_binary64_2748`
30×	`associate-/r*_binary64_2750`
26×	`add-exp-log_binary64_2844`
22×	`add-cbrt-cube_binary64_2842`
21×	`flip3-+_binary64_2809` `flip-+_binary64_2780`
20×	`associate-/l*_binary64_2751`
11×	`div-exp_binary64_2857`
9×	`cbrt-undiv_binary64_2840`
8×	`pow1_binary64_2867`
6×	`pow-flip_binary64_2880`
4×	`add-log-exp_binary64_2845` `frac-2neg_binary64_2817` `clear-num_binary64_2805`
3×	`associate-/l/_binary64_2753`
2×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `inv-pow_binary64_2891` `pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `1-exp_binary64_2850` `rec-exp_binary64_2856` `sqrt-div_binary64_2823`
1×	`frac-add_binary64_2814`

Counts

4 → 329

Calls

4 calls:

40.0ms	(/.f64 (/.f64 (+.f64 1 0) (*.f64 x (+.f64 1 x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))))
7.0ms	(/.f64 (+.f64 1 0) (*.f64 x (+.f64 1 x)))
5.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 10896 to 8695 computations (20.2% saved)

series65.0ms (0.1%)

Error

4.9b

Counts

4 → 24

Calls

4 calls:

16.0ms	(/.f64 (+.f64 1 0) (*.f64 x (+.f64 1 x)))
14.0ms	(/.f64 (/.f64 (+.f64 1 0) (*.f64 x (+.f64 1 x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))))
11.0ms	(/.f64 1 (sqrt.f64 x))
10.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))

Compiler

Compiled 1189 to 970 computations (18.4% saved)

simplify6.3s (9.7%)

Algorithm

1×	egg-herbie

Rules

327×	`times-frac_binary64_2812`
317×	`cancel-sign-sub-inv_binary64_2772`
314×	`associate-/l*_binary64_2751`
310×	`associate-/l/_binary64_2753`
180×	`sub-neg_binary64_2799`
178×	`associate-+l-_binary64_2741`
162×	`unswap-sqr_binary64_2774`
155×	`associate-/r*_binary64_2750`
151×	`associate-r_binary64_2746`
134×	`distribute-rgt-in_binary64_2756`
128×	`associate-l_binary64_2747`
124×	`distribute-lft-in_binary64_2755`
102×	`distribute-rgt-neg-in_binary64_2764`
101×	`associate--l+_binary64_2743`
98×	`associate-/r/_binary64_2752`
96×	`log-prod_binary64_2892`
88×	`distribute-neg-frac_binary64_2770`
87×	`log-div_binary64_2893`
86×	`div-sub_binary64_2811`
85×	`distribute-lft-neg-in_binary64_2763` `associate--l-_binary64_2744`
83×	`associate--r+_binary64_2742`
80×	`*-commutative_binary64_2737`
79×	`cube-prod_binary64_2834`
75×	`associate-*l/_binary64_2749`
72×	`/-rgt-identity_binary64_2797`
70×	`distribute-rgt-out_binary64_2759`
66×	`distribute-rgt-out--_binary64_2760`
63×	`*-rgt-identity_binary64_2796`
61×	`cube-div_binary64_2835` `div0_binary64_2787`
51×	`associate--r-_binary64_2745`
49×	`exp-prod_binary64_2858`
47×	`swap-sqr_binary64_2773`
45×	`sqr-pow_binary64_2778`
42×	`+-commutative_binary64_2736`
41×	`associate-*r/_binary64_2748`
39×	`neg-mul-1_binary64_2802`
37×	`neg-sub0_binary64_2801`
32×	`distribute-neg-in_binary64_2767`
29×	`unsub-neg_binary64_2800` `distribute-lft-out_binary64_2757`
28×	`*-lft-identity_binary64_2795` `associate-+l+_binary64_2739`
27×	`pow-sqr_binary64_2779`
24×	`mul0-rgt_binary64_2789`
23×	`distribute-lft-out--_binary64_2758`
22×	`mul0-lft_binary64_2788`
20×	`difference-of-squares_binary64_2775` `distribute-lft-neg-out_binary64_2765`
19×	`exp-sum_binary64_2852`
16×	`log-rec_binary64_2894` `pow-plus_binary64_2869`
13×	`associate-+r+_binary64_2738`
11×	`associate-+r-_binary64_2740`
9×	`sub0-neg_binary64_2793` `+-lft-identity_binary64_2790` `distribute-rgt-neg-out_binary64_2766`
8×	`unpow3_binary64_2872` `exp-diff_binary64_2854` `distribute-rgt1-in_binary64_2762`
7×	`cube-unmult_binary64_2843`
6×	`log-pow_binary64_2895` `cube-mult_binary64_2836`
5×	`rem-sqrt-square_binary64_2819` `--rgt-identity_binary64_2792` `+-rgt-identity_binary64_2791`
4×	`difference-of-sqr-1_binary64_2776` `distribute-neg-out_binary64_2768`
3×	`exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `distribute-lft1-in_binary64_2761` `count-2_binary64_2754`
2×	`rem-square-sqrt_binary64_2818` `mul-1-neg_binary64_2798` `*-inverses_binary64_2786` `remove-double-div_binary64_2782` `difference-of-sqr--1_binary64_2777` `distribute-frac-neg_binary64_2769`
1×	`unpow2_binary64_2871` `unpow1_binary64_2864` `exp-sqrt_binary64_2859` `div-exp_binary64_2857` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-log-exp_binary64_2847` `rem-cbrt-cube_binary64_2830` `sqr-abs_binary64_2821` `+-inverses_binary64_2785`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `unpow1/2_binary64_2870` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-neg_binary64_2853` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-exp-log_binary64_2846` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `rem-cube-cbrt_binary64_2829` `sqr-neg_binary64_2820` `remove-double-neg_binary64_2794` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `cancel-sign-sub_binary64_2771`

Counts

353 → 1370

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	401	11409
1	862	9550
2	3446	9525

prune3.3s (5.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	1361	9	1370
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	1364	10	1374

Error

0.0b

Counts

1374 → 10

Compiler

Compiled 42598 to 32032 computations (24.8% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (+.f64 1 x) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
0.2b	(/.f64 1 (*.f64 (+.f64 1 x) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
0.2b	(/.f64 1 (sqrt.f64 x))
0.3b	(.f64 (/.f64 1 x) (/.f64 1 (.f64 (+.f64 1 x) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))))

rewrite544.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

104×	`add-exp-log_binary64_2844`
66×	`*-un-lft-identity_binary64_2806`
53×	`times-frac_binary64_2812`
47×	`add-sqr-sqrt_binary64_2828`
44×	`prod-exp_binary64_2855`
38×	`add-cube-cbrt_binary64_2841`
36×	`div-exp_binary64_2857`
34×	`add-cbrt-cube_binary64_2842` `associate-r_binary64_2746`
24×	`sqrt-prod_binary64_2822`
22×	`associate-/r/_binary64_2752`
21×	`flip3-+_binary64_2809` `flip-+_binary64_2780`
19×	`frac-times_binary64_2816`
18×	`pow1_binary64_2867` `1-exp_binary64_2850` `rec-exp_binary64_2856`
17×	`associate-l_binary64_2747` `distribute-lft-out_binary64_2757`
10×	`cbrt-unprod_binary64_2839` `cbrt-undiv_binary64_2840` `associate-*r/_binary64_2748`
9×	`pow-flip_binary64_2880` `frac-add_binary64_2814`
8×	`div-inv_binary64_2803`
7×	`pow-prod-down_binary64_2877` `associate-l/_binary64_2749` `associate-/r_binary64_2750`
6×	`associate-/l*_binary64_2751`
4×	`inv-pow_binary64_2891` `add-log-exp_binary64_2845` `unswap-sqr_binary64_2774`
2×	`*-commutative_binary64_2737` `frac-2neg_binary64_2817` `clear-num_binary64_2805`
1×	`un-div-inv_binary64_2804` `pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`

Counts

4 → 213

Calls

4 calls:

62.0ms	(.f64 (/.f64 1 x) (/.f64 1 (.f64 (+.f64 1 x) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))))
34.0ms	(*.f64 (+.f64 1 x) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
30.0ms	(/.f64 1 (*.f64 (+.f64 1 x) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
3.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 6962 to 5296 computations (23.9% saved)

series69.0ms (0.1%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

36.0ms	(/.f64 1 (*.f64 (+.f64 1 x) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
15.0ms	(.f64 (/.f64 1 x) (/.f64 1 (.f64 (+.f64 1 x) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))))
9.0ms	(*.f64 (+.f64 1 x) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
6.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 533 to 442 computations (17.1% saved)

simplify3.0s (4.6%)

Algorithm

1×	egg-herbie

Rules

349×	`cancel-sign-sub-inv_binary64_2772`
257×	`times-frac_binary64_2812`
250×	`div-sub_binary64_2811`
208×	`associate-*l/_binary64_2749`
203×	`associate-/r*_binary64_2750`
196×	`associate-*r/_binary64_2748`
186×	`associate-l_binary64_2747`
178×	`associate-r_binary64_2746`
167×	`distribute-rgt-in_binary64_2756`
161×	`unsub-neg_binary64_2800`
154×	`distribute-lft-in_binary64_2755`
148×	`associate-+l+_binary64_2739`
144×	`*-commutative_binary64_2737`
140×	`associate-+r+_binary64_2738`
136×	`associate-/l*_binary64_2751`
135×	`sqr-pow_binary64_2778`
131×	`sub-neg_binary64_2799`
125×	`log-div_binary64_2893`
114×	`log-prod_binary64_2892`
112×	`associate-/l/_binary64_2753` `+-commutative_binary64_2736`
106×	`neg-mul-1_binary64_2802`
105×	`exp-prod_binary64_2858`
98×	`neg-sub0_binary64_2801`
83×	`cube-div_binary64_2835`
72×	`cube-prod_binary64_2834`
68×	`*-rgt-identity_binary64_2796`
60×	`pow-sqr_binary64_2779`
59×	`distribute-neg-frac_binary64_2770`
57×	`*-lft-identity_binary64_2795`
51×	`swap-sqr_binary64_2773`
45×	`unswap-sqr_binary64_2774` `distribute-rgt-neg-in_binary64_2764`
42×	`associate--l-_binary64_2744`
41×	`associate-+l-_binary64_2741`
39×	`distribute-lft-neg-out_binary64_2765`
38×	`associate-/r/_binary64_2752`
37×	`unpow3_binary64_2872` `exp-sum_binary64_2852`
36×	`/-rgt-identity_binary64_2797` `distribute-rgt-neg-out_binary64_2766`
34×	`distribute-rgt-out_binary64_2759`
33×	`difference-of-squares_binary64_2775`
30×	`associate--r+_binary64_2742` `associate-+r-_binary64_2740`
29×	`distribute-lft-neg-in_binary64_2763`
28×	`sub0-neg_binary64_2793` `distribute-neg-in_binary64_2767`
26×	`log-rec_binary64_2894` `pow-plus_binary64_2869`
18×	`log-pow_binary64_2895`
17×	`cube-mult_binary64_2836`
16×	`associate--r-_binary64_2745`
14×	`distribute-rgt-out--_binary64_2760` `associate--l+_binary64_2743`
12×	`+-rgt-identity_binary64_2791` `+-lft-identity_binary64_2790`
11×	`distribute-lft-out_binary64_2757`
10×	`distribute-neg-out_binary64_2768`
7×	`pow-base-1_binary64_2866` `cube-unmult_binary64_2843` `rem-sqrt-square_binary64_2819`
4×	`exp-diff_binary64_2854` `div0_binary64_2787` `lft-mult-inverse_binary64_2784` `difference-of-sqr-1_binary64_2776` `distribute-rgt1-in_binary64_2762`
3×	`rgt-mult-inverse_binary64_2783`
2×	`exp-to-pow_binary64_2868` `exp-sqrt_binary64_2859` `rem-square-sqrt_binary64_2818` `remove-double-neg_binary64_2794` `*-inverses_binary64_2786` `distribute-lft1-in_binary64_2761` `count-2_binary64_2754`
1×	`unpow2_binary64_2871` `unpow1_binary64_2864` `div-exp_binary64_2857` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-log-exp_binary64_2847` `rem-cbrt-cube_binary64_2830` `sqr-abs_binary64_2821` `+-inverses_binary64_2785` `difference-of-sqr--1_binary64_2777` `distribute-lft-out--_binary64_2758`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `unpow1/2_binary64_2870` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-neg_binary64_2853` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-exp-log_binary64_2846` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `rem-cube-cbrt_binary64_2829` `sqr-neg_binary64_2820` `mul-1-neg_binary64_2798` `--rgt-identity_binary64_2792` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `remove-double-div_binary64_2782` `cancel-sign-sub_binary64_2771` `distribute-frac-neg_binary64_2769`

Counts

225 → 460

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	289	6248
1	763	5143
2	2943	4994
3	4411	4974

prune868.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	457	3	460
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	464	6	470

Error

Counts

470 → 6

Compiler

Compiled 15478 to 11305 computations (27% saved)

regimes1.1s (1.8%)

Accuracy

Total 0.3b remaining (99.9%)

Threshold costs 0.3b (99.9%)

Compiler

Compiled 19084 to 15617 computations (18.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64_2736`
1×	`1-exp_binary64_2850` `*-commutative_binary64_2737`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `unpow1_binary64_2864` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `neg-mul-1_binary64_2802` `neg-sub0_binary64_2801` `unsub-neg_binary64_2800` `sub-neg_binary64_2799` `mul-1-neg_binary64_2798` `/-rgt-identity_binary64_2797` `-rgt-identity_binary64_2796` `-lft-identity_binary64_2795` `remove-double-neg_binary64_2794` `sub0-neg_binary64_2793` `--rgt-identity_binary64_2792` `+-rgt-identity_binary64_2791` `+-lft-identity_binary64_2790` `cancel-sign-sub-inv_binary64_2772` `cancel-sign-sub_binary64_2771` `distribute-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-neg-in_binary64_2767` `distribute-rgt-neg-out_binary64_2766` `distribute-lft-neg-out_binary64_2765` `distribute-rgt-neg-in_binary64_2764` `distribute-lft-neg-in_binary64_2763`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	20	46

Proof

(* f64 (/ f64 (* f64 (cbrt f64 1) (cbrt f64 1)) (sqrt f64 h0)) (/ f64 (/ f64 (/ f64 1 (sqrt f64 h0)) (+ f64 1 h0)) (+ f64 (/ f64 1 (sqrt f64 h0)) (/ f64 1 (sqrt f64 (+ f64 1 h0))))))

end0.0ms (0%)

sample7.0s (10.9%)

Algorithm

1×

intervals

Results

428.0ms	2247×	body	1024	valid
264.0ms	4305×	body	128	valid
134.0ms	986×	body	512	valid
42.0ms	462×	body	256	valid

Compiler

Compiled 9520 to 7789 computations (18.2% saved)

Details

analyze2.0ms (0%)

sample38.0ms (0.1%)

simplify420.0ms (0.7%)

prune2.0ms (0%)

localize7.0ms (0%)

rewrite230.0ms (0.4%)

series46.0ms (0.1%)

simplify6.3s (9.8%)

prune1.9s (2.9%)

localize14.0ms (0%)

rewrite1.2s (1.9%)

series122.0ms (0.2%)

simplify22.2s (34.5%)

prune8.9s (13.8%)

localize12.0ms (0%)

rewrite748.0ms (1.2%)

series65.0ms (0.1%)

simplify6.3s (9.7%)

prune3.3s (5.1%)

localize11.0ms (0%)

rewrite544.0ms (0.8%)

series69.0ms (0.1%)

simplify3.0s (4.6%)

prune868.0ms (1.3%)

regimes1.1s (1.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample7.0s (10.9%)

Profiling