Details

analyze92.0ms (3.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

368×	`div-sub_binary64`
196×	`associate-/l*_binary64`
178×	`associate-/l/_binary64`
148×	`times-frac_binary64`
138×	`sub-neg_binary64`
125×	`associate-/r/_binary64`
120×	`cancel-sign-sub-inv_binary64`
104×	`associate-/r*_binary64`
100×	`distribute-rgt-in_binary64`
92×	`distribute-lft-in_binary64`
70×	`unsub-neg_binary64`
68×	`distribute-neg-frac_binary64`
60×	`distribute-rgt-neg-in_binary64`
52×	`associate-l_binary64`
50×	`associate-*l/_binary64`
42×	`distribute-lft-neg-in_binary64`
32×	`neg-mul-1_binary64`
30×	`neg-sub0_binary64` `distribute-lft-neg-out_binary64`
28×	`associate-r_binary64` `associate--r+_binary64`
22×	`mul0-rgt_binary64`
20×	`div0_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64` `associate-+l-_binary64` `+-commutative_binary64`
18×	`-lft-identity_binary64` `associate--l-_binary64` `-commutative_binary64`
14×	`distribute-neg-in_binary64`
12×	`*-rgt-identity_binary64` `sub0-neg_binary64`
10×	`mul0-lft_binary64` `distribute-rgt-out--_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l+_binary64`
8×	`/-rgt-identity_binary64` `remove-double-div_binary64` `distribute-rgt-out_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
6×	`mul-1-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `distribute-rgt1-in_binary64` `associate-+r-_binary64`
4×	`+-rgt-identity_binary64` `+-lft-identity_binary64`
2×	`distribute-neg-out_binary64`
1×	`1-exp_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	27	20
3	44	20
4	62	20
5	103	20
6	184	20
7	315	20
8	534	20
9	798	20
10	840	20
11	928	20
12	902	20
13	890	20
14	894	20
15	898	20
16	902	20
17	802	20
0	2	2
1	2	2

Search

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

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample21.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	pre	128	true
5.0ms	256×	body	128	valid

Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify48.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

243×	`div-sub_binary64`
166×	`associate-/l/_binary64`
143×	`times-frac_binary64`
130×	`associate-/l*_binary64`
86×	`sub-neg_binary64`
81×	`associate-/r/_binary64`
70×	`associate-/r*_binary64`
62×	`distribute-lft-in_binary64`
61×	`distribute-rgt-in_binary64`
53×	`cancel-sign-sub-inv_binary64`
42×	`distribute-neg-frac_binary64`
39×	`associate-*l/_binary64`
35×	`unsub-neg_binary64`
31×	`associate-l_binary64`
27×	`distribute-rgt-neg-in_binary64`
20×	`neg-sub0_binary64`
19×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
18×	`neg-mul-1_binary64`
17×	`associate-r_binary64` `associate--r+_binary64`
15×	`mul0-rgt_binary64`
14×	`+-commutative_binary64`
13×	`div0_binary64` `distribute-frac-neg_binary64` `associate--l-_binary64`
12×	`distribute-rgt-neg-out_binary64`
11×	`associate-+l-_binary64`
10×	`-lft-identity_binary64` `-commutative_binary64`
9×	`*-rgt-identity_binary64` `distribute-neg-in_binary64` `associate--r-_binary64`
8×	`/-rgt-identity_binary64` `sub0-neg_binary64`
7×	`mul-1-neg_binary64`
6×	`mul0-lft_binary64`
5×	`distribute-rgt-out--_binary64` `associate-*r/_binary64` `associate--l+_binary64`
4×	`remove-double-neg_binary64` `--rgt-identity_binary64` `remove-double-div_binary64` `distribute-rgt-out_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
3×	`distribute-rgt1-in_binary64` `associate-+r-_binary64`
2×	`+-rgt-identity_binary64` `+-lft-identity_binary64`
1×	`1-exp_binary64` `distribute-neg-out_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	20	10
3	31	10
4	42	10
5	66	10
6	110	10
7	184	10
8	308	10
9	462	10
10	533	10
11	599	10
12	568	10
13	564	10
14	568	10
15	572	10
16	574	10
17	498	10

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

8.3b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1 x1))
7.4b	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

rewrite55.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

7.2b

Rules

31×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
19×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
6×	`associate-/r*_binary64`
5×	`distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`cancel-sign-sub-inv_binary64` `associate-/l*_binary64`
2×	`pow1_binary64` `flip3--_binary64` `flip--_binary64` `associate-/r/_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

2 → 58

Calls

2 calls:

12.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
5.0ms	(/.f64 x0 (-.f64 1 x1))

Compiler

Compiled 806 to 492 computations (39% saved)

series40.0ms (1.4%)

Error

4.2b

Counts

2 → 18

Calls

2 calls:

17.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
16.0ms	(/.f64 x0 (-.f64 1 x1))

Compiler

Compiled 373 to 279 computations (25.2% saved)

simplify106.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

424×	`distribute-rgt-in_binary64`
359×	`distribute-rgt-out_binary64`
270×	`distribute-lft-out_binary64`
196×	`associate-l_binary64`
189×	`associate-r_binary64`
168×	`associate-/l*_binary64`
148×	`log-prod_binary64`
121×	`cancel-sign-sub-inv_binary64`
116×	`unswap-sqr_binary64`
104×	`times-frac_binary64`
101×	`distribute-lft-neg-out_binary64`
97×	`div-sub_binary64` `distribute-rgt-neg-out_binary64`
82×	`log-div_binary64`
78×	`*-commutative_binary64`
77×	`associate-*l/_binary64`
74×	`sub-neg_binary64`
70×	`associate-/l/_binary64`
65×	`associate-/r*_binary64` `+-commutative_binary64`
63×	`exp-prod_binary64`
59×	`distribute-lft-in_binary64`
57×	`associate-*r/_binary64`
52×	`associate-+l+_binary64`
51×	`distribute-rgt-neg-in_binary64`
50×	`unsub-neg_binary64`
49×	`distribute-lft-neg-in_binary64`
44×	`distribute-neg-frac_binary64`
40×	`unpow3_binary64`
39×	`cube-prod_binary64` `sqr-pow_binary64`
38×	`neg-sub0_binary64`
35×	`swap-sqr_binary64`
34×	`associate-/r/_binary64`
32×	`distribute-rgt-out--_binary64`
30×	`neg-mul-1_binary64`
29×	`associate-+r+_binary64`
26×	`cube-div_binary64`
22×	`*-rgt-identity_binary64` `distribute-frac-neg_binary64`
20×	`distribute-rgt1-in_binary64`
16×	`exp-sum_binary64` `*-lft-identity_binary64`
13×	`difference-of-squares_binary64`
12×	`distribute-neg-in_binary64` `associate-+l-_binary64`
10×	`sub0-neg_binary64`
9×	`pow-plus_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft-out--_binary64`
8×	`associate-+r-_binary64`
7×	`log-rec_binary64` `exp-diff_binary64` `cube-unmult_binary64` `distribute-lft1-in_binary64`
6×	`mul-1-neg_binary64` `+-rgt-identity_binary64`
4×	`log-pow_binary64` `cube-mult_binary64` `/-rgt-identity_binary64`
3×	`remove-double-neg_binary64` `div0_binary64` `pow-sqr_binary64` `difference-of-sqr-1_binary64` `associate--r+_binary64`
2×	`sqr-neg_binary64` `rem-sqrt-square_binary64` `distribute-neg-out_binary64` `associate--l-_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `fabs-mul_binary64` `rem-square-sqrt_binary64` `difference-of-sqr--1_binary64` `associate--r-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `count-2_binary64` `associate--l+_binary64`

Counts

76 → 41

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	1055
1	270	1020
2	635	999
3	2180	990
4	4749	990
5	4995	990
6	4956	990

prune18.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	2	42

Error

4.2b

Counts

42 → 2

Compiler

Compiled 374 to 211 computations (43.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b	(*.f64 (-.f64 (/.f64 1 (-.f64 1 x1)) 1) x0)
7.1b	(-.f64 (/.f64 1 (-.f64 1 x1)) 1)

rewrite68.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

3.6b

Rules

37×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
14×	`associate-l_binary64`
12×	`times-frac_binary64` `difference-of-squares_binary64`
6×	`difference-of-sqr-1_binary64`
5×	`add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
3×	`cancel-sign-sub-inv_binary64` `associate-r_binary64`
2×	`flip3--_binary64` `flip--_binary64` `div-inv_binary64` `associate-*l/_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

2 → 56

Calls

2 calls:

16.0ms	(*.f64 (-.f64 (/.f64 1 (-.f64 1 x1)) 1) x0)
13.0ms	(-.f64 (/.f64 1 (-.f64 1 x1)) 1)

Compiler

Compiled 930 to 790 computations (15.1% saved)

series32.0ms (1.1%)

Error

4.1b

Counts

2 → 15

Calls

2 calls:

20.0ms	(*.f64 (-.f64 (/.f64 1 (-.f64 1 x1)) 1) x0)
7.0ms	(-.f64 (/.f64 1 (-.f64 1 x1)) 1)

Compiler

Compiled 338 to 284 computations (16% saved)

simplify112.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

619×	`distribute-rgt-in_binary64`
577×	`distribute-lft-in_binary64`
512×	`div-sub_binary64`
319×	`times-frac_binary64`
261×	`associate-+l+_binary64`
231×	`associate-*l/_binary64`
189×	`distribute-rgt-out_binary64`
175×	`associate-/l*_binary64`
171×	`associate-l_binary64`
155×	`distribute-lft-out_binary64` `*-commutative_binary64`
133×	`associate-r_binary64`
126×	`+-commutative_binary64`
113×	`associate-/r*_binary64`
110×	`unswap-sqr_binary64`
103×	`associate-*r/_binary64`
98×	`distribute-rgt-neg-out_binary64`
95×	`unsub-neg_binary64` `distribute-lft-neg-out_binary64`
93×	`distribute-neg-in_binary64`
72×	`sqr-pow_binary64`
60×	`exp-prod_binary64`
52×	`associate-+r+_binary64`
49×	`sub-neg_binary64`
46×	`associate-+l-_binary64`
44×	`associate--r+_binary64`
41×	`distribute-rgt1-in_binary64` `associate-/l/_binary64`
36×	`associate-+r-_binary64`
33×	`log-prod_binary64`
32×	`neg-sub0_binary64`
30×	`mul-1-neg_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
29×	`unpow3_binary64` `cube-prod_binary64` `cancel-sign-sub-inv_binary64`
21×	`distribute-frac-neg_binary64`
20×	`distribute-rgt-neg-in_binary64`
19×	`exp-sum_binary64` `distribute-lft1-in_binary64`
18×	`distribute-lft-neg-in_binary64` `associate-/r/_binary64`
15×	`pow-plus_binary64` `cube-unmult_binary64`
14×	`neg-mul-1_binary64` `pow-sqr_binary64`
13×	`cube-div_binary64`
12×	`exp-diff_binary64` `rem-sqrt-square_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
11×	`sqr-neg_binary64`
10×	`swap-sqr_binary64`
8×	`distribute-neg-out_binary64` `associate--l+_binary64`
7×	`cube-neg_binary64` `fabs-mul_binary64` `sub0-neg_binary64` `distribute-neg-frac_binary64` `distribute-rgt-out--_binary64`
6×	`unpow1/2_binary64` `difference-of-sqr-1_binary64`
5×	`+-rgt-identity_binary64`
4×	`cube-mult_binary64` `/-rgt-identity_binary64` `associate--r-_binary64` `associate--l-_binary64`
3×	`fabs-sqr_binary64` `remove-double-neg_binary64`
2×	`log-div_binary64` `div0_binary64` `remove-double-div_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `fabs-div_binary64` `--rgt-identity_binary64` `difference-of-sqr--1_binary64` `count-2_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64`

Counts

71 → 63

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	90	1123
1	196	1042
2	488	952
3	1085	945
4	2274	944
5	3904	944
6	4950	944
7	4903	944

prune30.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	63	2	65

Error

3.2b

Counts

65 → 2

Compiler

Compiled 690 to 538 computations (22% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x0) (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0)))
5.8b	(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

rewrite105.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

2.9b

Rules

47×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
18×	`cancel-sign-sub-inv_binary64`
15×	`*-un-lft-identity_binary64`
12×	`difference-of-squares_binary64`
11×	`add-cube-cbrt_binary64`
10×	`associate-r_binary64`
8×	`times-frac_binary64`
7×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64`
3×	`add-cbrt-cube_binary64` `sub-neg_binary64`
2×	`flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `unswap-sqr_binary64` `associate-*r/_binary64`
1×	`diff-log_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

2 → 69

Calls

2 calls:

30.0ms	(*.f64 (cbrt.f64 x0) (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0)))
23.0ms	(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

Compiler

Compiled 1826 to 857 computations (53.1% saved)

series139.0ms (4.7%)

Error

3.2b

Counts

2 → 18

Calls

2 calls:

74.0ms	(*.f64 (cbrt.f64 x0) (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0)))
50.0ms	(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

Compiler

Compiled 1035 to 829 computations (19.9% saved)

simplify148.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

407×	`*-commutative_binary64`
390×	`unswap-sqr_binary64`
254×	`div-sub_binary64`
232×	`unsub-neg_binary64`
211×	`log-prod_binary64`
200×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
193×	`associate-l_binary64`
192×	`exp-prod_binary64`
187×	`distribute-rgt-neg-out_binary64`
167×	`associate-r_binary64`
160×	`cancel-sign-sub-inv_binary64`
138×	`distribute-rgt-out_binary64`
114×	`distribute-lft-out_binary64`
101×	`sqr-pow_binary64`
100×	`neg-sub0_binary64`
97×	`neg-mul-1_binary64`
96×	`sub-neg_binary64`
90×	`associate-/l*_binary64`
82×	`cube-prod_binary64`
74×	`associate-*l/_binary64` `+-commutative_binary64`
63×	`times-frac_binary64`
62×	`associate-+l+_binary64`
60×	`*-lft-identity_binary64`
58×	`swap-sqr_binary64`
52×	`exp-sum_binary64`
51×	`-rgt-identity_binary64` `distribute-lft-neg-out_binary64` `associate-/r_binary64`
49×	`associate-*r/_binary64`
43×	`distribute-rgt-neg-in_binary64`
39×	`fabs-mul_binary64`
38×	`log-pow_binary64`
36×	`distribute-lft-neg-in_binary64`
34×	`associate-+r+_binary64`
28×	`rem-sqrt-square_binary64`
25×	`unpow3_binary64`
23×	`cube-div_binary64`
22×	`exp-diff_binary64`
17×	`pow-plus_binary64`
16×	`cube-mult_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `distribute-rgt1-in_binary64`
15×	`cube-unmult_binary64`
14×	`mul0-rgt_binary64` `mul0-lft_binary64`
13×	`exp-neg_binary64`
12×	`fabs-sqr_binary64` `sub0-neg_binary64` `distribute-neg-in_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
9×	`+-rgt-identity_binary64` `associate-/r/_binary64`
7×	`sqr-neg_binary64` `distribute-rgt-out--_binary64`
6×	`unpow1/2_binary64` `mul-1-neg_binary64`
5×	`/-rgt-identity_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64`
3×	`unpow1/3_binary64` `unpow2_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64`
2×	`unpow1_binary64` `difference-of-sqr--1_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `fabs-fabs_binary64` `rem-square-sqrt_binary64` `remove-double-div_binary64` `difference-of-sqr-1_binary64` `count-2_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

87 → 74

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	154	1997
1	374	1760
2	1325	1698
3	2999	1662
4	4527	1584
5	4874	1584
6	4863	1584

prune37.0ms (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	74	2	76

Error

2.9b

Counts

76 → 2

Compiler

Compiled 1108 to 665 computations (40% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0)))
1.0b	(.f64 (.f64 (sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (pow.f64 x0 1/6)) (*.f64 (sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (pow.f64 x0 1/6)))
5.8b	(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
5.8b	(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

rewrite267.0ms (9.1%)

Algorithm

1×	rewrite-expression-head

Error

2.7b

Rules

58×	`add-sqr-sqrt_binary64`
52×	`add-exp-log_binary64`
40×	`prod-exp_binary64`
21×	`cbrt-prod_binary64`
18×	`difference-of-squares_binary64`
16×	`add-cbrt-cube_binary64`
15×	`*-un-lft-identity_binary64`
14×	`sqrt-div_binary64` `associate-*l/_binary64`
12×	`pow1_binary64` `times-frac_binary64` `cancel-sign-sub-inv_binary64`
10×	`sqrt-prod_binary64`
9×	`add-cube-cbrt_binary64` `flip3--_binary64` `flip--_binary64`
8×	`add-log-exp_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `cbrt-unprod_binary64`
4×	`frac-times_binary64`
3×	`distribute-lft-out--_binary64`
2×	`diff-log_binary64` `sub-neg_binary64` `associate-*r/_binary64`
1×	`pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64` `*-commutative_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 114

Calls

4 calls:

57.0ms	(.f64 (.f64 (sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (pow.f64 x0 1/6)) (*.f64 (sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (pow.f64 x0 1/6)))
27.0ms	(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
23.0ms	(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
20.0ms	(sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0)))

Compiler

Compiled 4941 to 2860 computations (42.1% saved)

series264.0ms (9%)

Error

2.9b

Counts

4 → 33

Calls

4 calls:

71.0ms	(.f64 (.f64 (sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (pow.f64 x0 1/6)) (*.f64 (sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))) (pow.f64 x0 1/6)))
55.0ms	(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))
54.0ms	(sqrt.f64 (-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0)))
54.0ms	(-.f64 (/.f64 (cbrt.f64 x0) (-.f64 1 x1)) (cbrt.f64 x0))

Compiler

Compiled 2798 to 2130 computations (23.9% saved)

simplify203.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

482×	`unswap-sqr_binary64`
450×	`*-commutative_binary64`
216×	`exp-prod_binary64`
202×	`log-prod_binary64`
180×	`associate-l_binary64`
166×	`swap-sqr_binary64` `cancel-sign-sub-inv_binary64`
163×	`associate-r_binary64`
147×	`distribute-lft-in_binary64`
145×	`distribute-rgt-in_binary64`
126×	`sqr-pow_binary64`
102×	`sub-neg_binary64`
94×	`div-sub_binary64`
93×	`distribute-rgt-out_binary64`
89×	`distribute-lft-out_binary64`
86×	`associate-/r*_binary64`
84×	`+-commutative_binary64`
80×	`log-pow_binary64`
79×	`associate-/l*_binary64`
72×	`associate-+l+_binary64`
60×	`times-frac_binary64`
56×	`cube-prod_binary64`
54×	`log-div_binary64` `neg-mul-1_binary64`
50×	`neg-sub0_binary64` `unsub-neg_binary64`
49×	`exp-sum_binary64`
46×	`associate-+r+_binary64`
35×	`distribute-rgt-neg-in_binary64`
32×	`associate-*l/_binary64`
31×	`unpow3_binary64` `distribute-lft-neg-in_binary64`
27×	`associate-*r/_binary64`
24×	`pow-sqr_binary64`
23×	`pow-plus_binary64`
22×	`fabs-mul_binary64`
20×	`exp-diff_binary64`
16×	`distribute-lft-neg-out_binary64`
15×	`difference-of-squares_binary64`
14×	`cube-div_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64`
13×	`cube-mult_binary64` `distribute-rgt1-in_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
12×	`cube-unmult_binary64`
11×	`distribute-rgt-neg-out_binary64`
10×	`mul0-rgt_binary64` `mul0-lft_binary64`
9×	`+-rgt-identity_binary64` `associate-/r/_binary64`
8×	`/-rgt-identity_binary64`
7×	`count-2_binary64`
6×	`unpow1/3_binary64` `unpow2_binary64` `exp-to-pow_binary64` `rem-square-sqrt_binary64`
5×	`fabs-sqr_binary64` `mul-1-neg_binary64` `associate--r+_binary64`
4×	`*-rgt-identity_binary64` `distribute-neg-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64`
3×	`unpow1/2_binary64` `+-lft-identity_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
2×	`log-rec_binary64` `unpow1_binary64` `exp-neg_binary64` `rem-exp-log_binary64` `*-lft-identity_binary64`
1×	`log-E_binary64` `exp-lft-cube_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `+-inverses_binary64` `remove-double-div_binary64` `difference-of-sqr-1_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

147 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	205	3919
1	445	3290
2	1223	3134
3	3011	3107
4	4637	3107
5	4997	3107
6	4909	3107

prune82.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	119	2	121

Error

2.9b

Counts

121 → 2

Compiler

Compiled 2967 to 1852 computations (37.6% saved)

regimes180.0ms (6.2%)

Accuracy

Total -0.2b remaining (-7.9%)

Threshold costs -0.2b (-7.9%)

Compiler

Compiled 3455 to 2623 computations (24.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64`
13×	`+-commutative_binary64`
7×	`sub-neg_binary64`
4×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`*-lft-identity_binary64`
1×	`1-exp_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64`
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` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `*-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	184
1	74	184
2	86	184
3	94	184
4	98	184
5	97	184

end2.0ms (0.1%)

Compiler: Compiled 116 to 67 computations (42.2% saved)

sample829.0ms (28.4%)

Algorithm

1×

intervals

Results

237.0ms	8000×	pre	128	true
171.0ms	8000×	body	128	valid

Compiler

Compiled 206 to 140 computations (32% saved)

Iter	Nodes	Cost
0	10	20
1	18	20
2	27	20
3	44	20
4	62	20
5	103	20
6	184	20
7	315	20
8	534	20
9	798	20
10	840	20
11	928	20
12	902	20
13	890	20
14	894	20
15	898	20
16	902	20
17	802	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	13	10
2	20	10
3	31	10
4	42	10
5	66	10
6	110	10
7	184	10
8	308	10
9	462	10
10	533	10
11	599	10
12	568	10
13	564	10
14	568	10
15	572	10
16	574	10
17	498	10

Iter	Nodes	Cost
0	10	20
1	18	20
2	27	20
3	44	20
4	62	20
5	103	20
6	184	20
7	315	20
8	534	20
9	798	20
10	840	20
11	928	20
12	902	20
13	890	20
14	894	20
15	898	20
16	902	20
17	802	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	13	10
2	20	10
3	31	10
4	42	10
5	66	10
6	110	10
7	184	10
8	308	10
9	462	10
10	533	10
11	599	10
12	568	10
13	564	10
14	568	10
15	572	10
16	574	10
17	498	10

Details

analyze92.0ms (3.1%)

sample21.0ms (0.7%)

simplify48.0ms (1.7%)

prune1.0ms (0%)

localize4.0ms (0.1%)

rewrite55.0ms (1.9%)

series40.0ms (1.4%)

simplify106.0ms (3.6%)

prune18.0ms (0.6%)

localize6.0ms (0.2%)

rewrite68.0ms (2.3%)

series32.0ms (1.1%)

simplify112.0ms (3.8%)

prune30.0ms (1%)

localize9.0ms (0.3%)

rewrite105.0ms (3.6%)

series139.0ms (4.7%)

simplify148.0ms (5.1%)

prune37.0ms (1.3%)

localize14.0ms (0.5%)

rewrite267.0ms (9.1%)

series264.0ms (9%)

simplify203.0ms (6.9%)

prune82.0ms (2.8%)

regimes180.0ms (6.2%)

bsearch1.0ms (0%)

simplify8.0ms (0.3%)

end2.0ms (0.1%)

sample829.0ms (28.4%)

Profiling

Iter	Nodes	Cost
0	10	20
1	18	20
2	27	20
3	44	20
4	62	20
5	103	20
6	184	20
7	315	20
8	534	20
9	798	20
10	840	20
11	928	20
12	902	20
13	890	20
14	894	20
15	898	20
16	902	20
17	802	20
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	10
1	13	10
2	20	10
3	31	10
4	42	10
5	66	10
6	110	10
7	184	10
8	308	10
9	462	10
10	533	10
11	599	10
12	568	10
13	564	10
14	568	10
15	572	10
16	574	10
17	498	10