Details

analyze105.0ms (7%)

Algorithm

1×	search
2×	egg-herbie

Rules

258×	`times-frac_binary64`
206×	`div-sub_binary64`
114×	`associate-/l*_binary64`
98×	`cancel-sign-sub-inv_binary64`
86×	`associate-/r*_binary64`
76×	`distribute-rgt-in_binary64`
72×	`distribute-lft-in_binary64` `associate-/r/_binary64`
70×	`sub-neg_binary64`
50×	`unsub-neg_binary64` `associate-*l/_binary64`
48×	`distribute-rgt-neg-in_binary64` `associate-r_binary64`
42×	`distribute-neg-frac_binary64`
38×	`associate-/l/_binary64`
36×	`associate-l_binary64`
34×	`distribute-lft-neg-in_binary64`
30×	`distribute-rgt-neg-out_binary64`
28×	`distribute-lft-neg-out_binary64`
24×	`neg-mul-1_binary64`
22×	`associate--r+_binary64`
18×	`neg-sub0_binary64` `distribute-neg-in_binary64` `associate-*r/_binary64`
16×	`distribute-frac-neg_binary64`
14×	`+-commutative_binary64`
12×	`mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64`
10×	`associate--l-_binary64` `*-commutative_binary64`
8×	`/-rgt-identity_binary64` `*-lft-identity_binary64` `associate--r-_binary64`
6×	`mul-1-neg_binary64` `*-rgt-identity_binary64` `sub0-neg_binary64` `associate-+l-_binary64`
4×	`remove-double-neg_binary64` `associate-+r+_binary64`
2×	`+-rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+l+_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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_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-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	17	14
2	30	14
3	49	14
4	86	14
5	131	14
6	226	14
7	563	14
8	582	14
9	544	14
10	527	14
11	531	14
12	533	14
13	535	14
14	438	14
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
71.8%	28.1%	0.1%	7
76.5%	21.9%	1.7%	8
80.4%	16.4%	3.2%	9
82.3%	11.7%	6%	10
84.1%	8.8%	7.1%	11
85%	6%	9%	12
85.8%	4.5%	9.7%	13
86.2%	3.1%	10.7%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample13.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify30.0ms (2%)

Algorithm

1×	egg-herbie

Rules

142×	`div-sub_binary64`
107×	`times-frac_binary64`
62×	`sub-neg_binary64`
55×	`associate-/r*_binary64`
52×	`associate-/l*_binary64`
45×	`associate-/r/_binary64`
40×	`distribute-rgt-in_binary64`
39×	`distribute-lft-in_binary64`
33×	`cancel-sign-sub-inv_binary64`
30×	`unsub-neg_binary64`
20×	`neg-mul-1_binary64`
18×	`associate-/l/_binary64`
16×	`distribute-neg-frac_binary64` `associate-*l/_binary64`
15×	`associate--r+_binary64`
14×	`neg-sub0_binary64`
13×	`+-commutative_binary64`
12×	`mul0-rgt_binary64` `div0_binary64`
11×	`distribute-frac-neg_binary64` `*-commutative_binary64`
8×	`*-lft-identity_binary64` `distribute-lft-neg-in_binary64` `associate--r-_binary64`
7×	`sub0-neg_binary64` `distribute-rgt-neg-in_binary64` `associate-*r/_binary64` `associate-+l-_binary64`
6×	`/-rgt-identity_binary64` `distribute-neg-in_binary64`
5×	`+-lft-identity_binary64` `mul0-lft_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
4×	`associate-+l+_binary64`
2×	`*-rgt-identity_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `-inverses_binary64` `remove-double-div_binary64` `associate-l_binary64` `associate-r*_binary64` `associate--l+_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` `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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_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-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	18	7
3	29	7
4	48	7
5	68	7
6	103	7
7	183	7
8	285	7
9	440	7
10	397	7
11	421	7
12	427	7
13	424	7
14	346	7

prune1.0ms (0.1%)

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

0.0b

Counts

1 → 1

Compiler

Compiled 5 to 4 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) x)

rewrite36.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
15×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64`
5×	`associate-/l*_binary64`
4×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r*_binary64`
2×	`associate-/l/_binary64`
1×	`pow1_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64`

Counts

1 → 38

Calls

1 calls:

7.0ms

(/.f64 (-.f64 x y) x)

Compiler

Compiled 428 to 119 computations (72.2% saved)

series23.0ms (1.6%)

Error

Counts

1 → 12

Calls

1 calls:

19.0ms

(/.f64 (-.f64 x y) x)

Compiler

Compiled 89 to 92 computations (-3.4% saved)

simplify109.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

940×	`div-sub_binary64`
421×	`unsub-neg_binary64`
409×	`times-frac_binary64`
340×	`associate-/l*_binary64`
229×	`distribute-rgt-in_binary64`
220×	`distribute-lft-in_binary64`
214×	`associate-l_binary64`
176×	`associate-*l/_binary64`
168×	`sub-neg_binary64`
166×	`associate-r_binary64`
126×	`associate-/r*_binary64`
113×	`associate-/l/_binary64`
106×	`associate-*r/_binary64`
93×	`neg-sub0_binary64`
84×	`associate-/r/_binary64`
67×	`exp-prod_binary64`
61×	`distribute-rgt-neg-out_binary64`
57×	`distribute-lft-neg-out_binary64`
55×	`neg-mul-1_binary64`
48×	`log-div_binary64` `associate-+l+_binary64`
44×	`*-commutative_binary64`
41×	`log-prod_binary64`
40×	`distribute-frac-neg_binary64`
39×	`exp-diff_binary64`
32×	`associate-+r+_binary64`
27×	`associate-+l-_binary64` `+-commutative_binary64`
16×	`associate-+r-_binary64`
14×	`*-rgt-identity_binary64`
12×	`log-rec_binary64` `cancel-sign-sub-inv_binary64`
11×	`unpow3_binary64` `distribute-neg-frac_binary64` `associate--l-_binary64`
10×	`cube-div_binary64` `cube-prod_binary64` `*-lft-identity_binary64`
9×	`exp-sum_binary64` `distribute-lft-neg-in_binary64`
8×	`sqr-pow_binary64` `associate--r-_binary64`
7×	`/-rgt-identity_binary64` `associate--r+_binary64`
5×	`cube-unmult_binary64` `swap-sqr_binary64` `distribute-rgt-out_binary64` `associate--l+_binary64`
4×	`sqr-neg_binary64` `mul-1-neg_binary64` `sub0-neg_binary64`
3×	`+-rgt-identity_binary64` `distribute-rgt-neg-in_binary64`
2×	`cube-neg_binary64` `*-inverses_binary64` `distribute-neg-in_binary64`
1×	`unpow-1_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `div0_binary64` `distribute-rgt-out--_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`

Counts

50 → 21

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	619
1	156	587
2	342	585
3	810	585
4	2646	585
5	4866	585
6	4970	585
7	4986	585

prune12.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Error

Counts

22 → 3

Compiler

Compiled 184 to 94 computations (48.9% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

1.0b	(exp.f64 (log.f64 (-.f64 1 (/.f64 y x))))
3.4b	(log.f64 (-.f64 1 (/.f64 y x)))

rewrite50.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-sqr-sqrt_binary64`
16×	`log-prod_binary64`
13×	`*-un-lft-identity_binary64`
8×	`difference-of-squares_binary64` `exp-sum_binary64`
5×	`add-cube-cbrt_binary64`
4×	`pow1_binary64` `log-div_binary64` `times-frac_binary64` `exp-prod_binary64`
3×	`add-exp-log_binary64`
2×	`log-pow_binary64` `flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `exp-diff_binary64`
1×	`rem-log-exp_binary64` `rem-exp-log_binary64`

Counts

2 → 41

Calls

2 calls:

9.0ms	(exp.f64 (log.f64 (-.f64 1 (/.f64 y x))))
7.0ms	(log.f64 (-.f64 1 (/.f64 y x)))

Compiler

Compiled 604 to 365 computations (39.6% saved)

series116.0ms (7.7%)

Error

Counts

2 → 31

Calls

2 calls:

69.0ms	(exp.f64 (log.f64 (-.f64 1 (/.f64 y x))))
35.0ms	(log.f64 (-.f64 1 (/.f64 y x)))

Compiler

Compiled 870 to 700 computations (19.5% saved)

simplify125.0ms (8.3%)

Algorithm

1×	egg-herbie

Rules

487×	`prod-exp_binary64`
399×	`div-exp_binary64`
285×	`distribute-neg-frac_binary64`
274×	`sub-neg_binary64`
236×	`times-frac_binary64`
168×	`exp-prod_binary64`
155×	`associate-/l*_binary64`
149×	`log-prod_binary64`
138×	`associate-/r*_binary64`
137×	`log-div_binary64` `associate-r_binary64`
133×	`unsub-neg_binary64`
109×	`associate-l/_binary64` `associate-l*_binary64`
106×	`neg-sub0_binary64` `unswap-sqr_binary64`
97×	`neg-mul-1_binary64` `distribute-neg-in_binary64` `associate-*r/_binary64`
90×	`div-sub_binary64`
73×	`distribute-rgt-neg-out_binary64`
68×	`distribute-lft-neg-out_binary64` `associate-+l-_binary64`
63×	`distribute-rgt-in_binary64`
61×	`*-commutative_binary64`
60×	`distribute-rgt-neg-in_binary64` `+-commutative_binary64`
59×	`associate-+r-_binary64`
58×	`cancel-sign-sub-inv_binary64` `associate-+l+_binary64`
54×	`distribute-lft-neg-in_binary64`
51×	`exp-sum_binary64`
48×	`exp-diff_binary64` `sqr-pow_binary64` `associate--r+_binary64`
45×	`distribute-frac-neg_binary64`
39×	`swap-sqr_binary64` `associate-+r+_binary64`
36×	`log-pow_binary64`
35×	`associate-/r/_binary64`
33×	`associate--r-_binary64`
30×	`distribute-lft-in_binary64`
29×	`sub0-neg_binary64`
27×	`associate--l+_binary64`
24×	`unpow3_binary64` `cube-prod_binary64` `distribute-neg-out_binary64`
21×	`pow-plus_binary64` `rem-exp-log_binary64` `associate--l-_binary64`
20×	`log-rec_binary64` `cancel-sign-sub_binary64`
19×	`rec-exp_binary64` `*-lft-identity_binary64`
18×	`*-rgt-identity_binary64`
16×	`+-rgt-identity_binary64`
15×	`exp-to-pow_binary64` `/-rgt-identity_binary64`
13×	`cube-div_binary64`
12×	`--rgt-identity_binary64` `associate-/l/_binary64`
11×	`remove-double-neg_binary64`
8×	`distribute-lft-out_binary64`
7×	`cube-unmult_binary64` `mul-1-neg_binary64` `remove-double-div_binary64`
6×	`distribute-rgt1-in_binary64` `distribute-rgt-out_binary64`
5×	`rem-log-exp_binary64` `pow-sqr_binary64`
4×	`unpow1/2_binary64` `unpow-1_binary64` `exp-neg_binary64` `sqr-neg_binary64` `div0_binary64` `difference-of-sqr-1_binary64`
3×	`cube-mult_binary64` `rem-sqrt-square_binary64` `lft-mult-inverse_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `*-inverses_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
1×	`log-E_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `rgt-mult-inverse_binary64` `distribute-rgt-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` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `+-inverses_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

72 → 49

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	136	1183
1	289	1101
2	733	1082
3	2892	1065
4	4168	1051
5	4609	1051
6	5547	1051

prune19.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	49	3	52

Error

Counts

52 → 3

Compiler

Compiled 349 to 172 computations (50.7% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (-.f64 1 (/.f64 y x)))
1.0b	(log.f64 (exp.f64 (-.f64 1 (/.f64 y x))))

rewrite74.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`add-sqr-sqrt_binary64`
28×	`exp-sum_binary64`
27×	`*-un-lft-identity_binary64`
26×	`cancel-sign-sub-inv_binary64`
22×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64`
17×	`log-prod_binary64`
16×	`exp-prod_binary64`
9×	`log-pow_binary64`
8×	`difference-of-squares_binary64`
5×	`add-log-exp_binary64`
3×	`pow1_binary64`
2×	`distribute-lft-out--_binary64` `exp-diff_binary64` `sub-neg_binary64` `div-inv_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `rem-exp-log_binary64`
1×	`log-div_binary64` `rem-log-exp_binary64` `diff-log_binary64`

Counts

2 → 67

Calls

2 calls:

10.0ms	(log.f64 (exp.f64 (-.f64 1 (/.f64 y x))))
9.0ms	(exp.f64 (-.f64 1 (/.f64 y x)))

Compiler

Compiled 965 to 531 computations (45% saved)

series73.0ms (4.9%)

Error

Counts

2 → 24

Calls

2 calls:

47.0ms	(log.f64 (exp.f64 (-.f64 1 (/.f64 y x))))
21.0ms	(exp.f64 (-.f64 1 (/.f64 y x)))

Compiler

Compiled 378 to 326 computations (13.8% saved)

simplify106.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

403×	`unswap-sqr_binary64`
285×	`associate-/l*_binary64`
266×	`log-pow_binary64`
259×	`exp-prod_binary64`
233×	`times-frac_binary64`
199×	`sqr-pow_binary64`
187×	`div-sub_binary64`
182×	`associate-*l/_binary64`
156×	`associate-*r/_binary64`
148×	`associate-r_binary64`
142×	`associate-/r*_binary64`
120×	`associate-l_binary64`
109×	`exp-sum_binary64`
104×	`sub-neg_binary64`
102×	`*-commutative_binary64`
91×	`pow-sqr_binary64`
74×	`neg-sub0_binary64`
73×	`log-prod_binary64`
69×	`neg-mul-1_binary64`
67×	`unsub-neg_binary64` `associate-/l/_binary64`
65×	`exp-diff_binary64`
62×	`distribute-neg-frac_binary64` `associate-/r/_binary64`
54×	`rem-log-exp_binary64`
45×	`distribute-rgt-in_binary64`
44×	`cancel-sign-sub-inv_binary64`
43×	`distribute-lft-in_binary64`
41×	`cube-prod_binary64`
37×	`distribute-rgt-neg-in_binary64`
31×	`exp-to-pow_binary64` `+-commutative_binary64`
29×	`distribute-lft-neg-out_binary64`
28×	`distribute-lft-neg-in_binary64`
25×	`distribute-rgt-neg-out_binary64`
24×	`log-div_binary64`
23×	`exp-neg_binary64`
21×	`log-rec_binary64`
18×	`associate-+l-_binary64`
16×	`prod-exp_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-frac-neg_binary64` `associate-+r-_binary64`
15×	`*-rgt-identity_binary64` `associate-+l+_binary64`
14×	`associate-+r+_binary64`
13×	`*-lft-identity_binary64`
12×	`cube-unmult_binary64` `div0_binary64`
11×	`cube-div_binary64`
10×	`associate--l+_binary64`
8×	`associate--r+_binary64`
7×	`unpow3_binary64` `/-rgt-identity_binary64`
6×	`+-rgt-identity_binary64`
5×	`cube-mult_binary64` `sub0-neg_binary64`
4×	`div-exp_binary64` `rem-sqrt-square_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `difference-of-sqr-1_binary64` `distribute-neg-in_binary64` `count-2_binary64`
1×	`e-exp-1_binary64` `1-exp_binary64` `rem-3cbrt-rft_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `remove-double-div_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_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` `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` `exp-1-e_binary64` `exp-0_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--l-_binary64`

Counts

91 → 64

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	1040
1	323	998
2	956	989
3	2955	989
4	4919	989
5	4954	989

prune17.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	64	3	67

Error

Counts

67 → 3

Compiler

Compiled 310 to 156 computations (49.7% saved)

regimes90.0ms (6%)

Accuracy

Total -0.0b remaining (-444.4%)

Threshold costs -0.0b (-444.4%)

Compiler

Compiled 496 to 393 computations (20.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64` `+-commutative_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_binary64`
1×	`1-exp_binary64` `distribute-neg-frac_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` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	16	7
3	20	7
4	23	7
5	24	7
6	23	7

end1.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

sample478.0ms (31.9%)

Algorithm

1×

intervals

Results

162.0ms	8000×	body	128	valid
3.0ms	179×	body	128	invalid

Compiler

Compiled 38 to 44 computations (-15.8% saved)

Iter	Nodes	Cost
0	7	14
1	17	14
2	30	14
3	49	14
4	86	14
5	131	14
6	226	14
7	563	14
8	582	14
9	544	14
10	527	14
11	531	14
12	533	14
13	535	14
14	438	14
0	2	2
1	2	2

Iter	Nodes	Cost
0	5	7
1	10	7
2	18	7
3	29	7
4	48	7
5	68	7
6	103	7
7	183	7
8	285	7
9	440	7
10	397	7
11	421	7
12	427	7
13	424	7
14	346	7

Iter	Nodes	Cost
0	7	14
1	17	14
2	30	14
3	49	14
4	86	14
5	131	14
6	226	14
7	563	14
8	582	14
9	544	14
10	527	14
11	531	14
12	533	14
13	535	14
14	438	14
0	2	2
1	2	2

Iter	Nodes	Cost
0	5	7
1	10	7
2	18	7
3	29	7
4	48	7
5	68	7
6	103	7
7	183	7
8	285	7
9	440	7
10	397	7
11	421	7
12	427	7
13	424	7
14	346	7

Details

analyze105.0ms (7%)

sample13.0ms (0.8%)

simplify30.0ms (2%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

rewrite36.0ms (2.4%)

series23.0ms (1.6%)

simplify109.0ms (7.3%)

prune12.0ms (0.8%)

localize6.0ms (0.4%)

rewrite50.0ms (3.3%)

series116.0ms (7.7%)

simplify125.0ms (8.3%)

prune19.0ms (1.3%)

localize6.0ms (0.4%)

rewrite74.0ms (5%)

series73.0ms (4.9%)

simplify106.0ms (7.1%)

prune17.0ms (1.1%)

regimes90.0ms (6%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample478.0ms (31.9%)

Profiling

Iter	Nodes	Cost
0	7	14
1	17	14
2	30	14
3	49	14
4	86	14
5	131	14
6	226	14
7	563	14
8	582	14
9	544	14
10	527	14
11	531	14
12	533	14
13	535	14
14	438	14
0	2	2
1	2	2

Iter	Nodes	Cost
0	5	7
1	10	7
2	18	7
3	29	7
4	48	7
5	68	7
6	103	7
7	183	7
8	285	7
9	440	7
10	397	7
11	421	7
12	427	7
13	424	7
14	346	7