Details

analyze292.0ms (8.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

1534×	`div-sub_binary64`
888×	`distribute-rgt-in_binary64`
690×	`times-frac_binary64`
535×	`sub-neg_binary64`
432×	`distribute-rgt-neg-in_binary64`
383×	`associate-/r*_binary64`
382×	`associate-/l*_binary64`
319×	`distribute-lft-neg-in_binary64`
304×	`*-commutative_binary64`
275×	`distribute-neg-frac_binary64`
270×	`neg-mul-1_binary64`
260×	`neg-sub0_binary64`
184×	`associate--r+_binary64`
182×	`unsub-neg_binary64`
164×	`associate-/r/_binary64`
158×	`cancel-sign-sub-inv_binary64`
137×	`associate--r-_binary64`
131×	`+-commutative_binary64`
124×	`distribute-frac-neg_binary64` `associate-/l/_binary64`
118×	`distribute-rgt-neg-out_binary64`
111×	`remove-double-neg_binary64`
95×	`distribute-lft-neg-out_binary64`
93×	`distribute-neg-in_binary64`
88×	`associate-l_binary64`
87×	`associate-+l-_binary64`
80×	`distribute-lft-in_binary64` `associate-*l/_binary64`
75×	`associate-r_binary64`
73×	`associate--l+_binary64`
67×	`associate-+l+_binary64`
66×	`associate--l-_binary64` `associate-+r-_binary64`
49×	`associate-+r+_binary64`
39×	`sub0-neg_binary64` `+-rgt-identity_binary64`
38×	`+-lft-identity_binary64`
37×	`*-lft-identity_binary64`
36×	`associate-*r/_binary64`
34×	`cancel-sign-sub_binary64`
30×	`*-rgt-identity_binary64`
26×	`/-rgt-identity_binary64`
24×	`--rgt-identity_binary64`
22×	`distribute-neg-out_binary64`
20×	`distribute-lft-out_binary64`
16×	`mul0-rgt_binary64` `mul0-lft_binary64`
15×	`distribute-lft-out--_binary64`
12×	`div0_binary64`
11×	`distribute-rgt-out--_binary64`
9×	`remove-double-div_binary64`
5×	`distribute-rgt-out_binary64`
4×	`distribute-rgt1-in_binary64`
3×	`mul-1-neg_binary64`
2×	`distribute-lft1-in_binary64`
1×	`1-exp_binary64` `*-inverses_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` `+-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` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	25	21
2	43	21
3	57	21
4	66	21
5	76	21
6	113	21
7	151	21
8	240	21
9	385	21
10	484	21
11	552	21
12	650	21
13	1275	21
14	2898	21
15	3244	21
16	3247	21
17	3326	21
18	3358	21
19	3426	21
20	3437	21
21	3725	21
22	3759	21
23	3775	21
24	3775	21
25	3775	21
26	4954	21
27	5830	21
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify281.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

1534×	`div-sub_binary64`
888×	`distribute-rgt-in_binary64`
690×	`times-frac_binary64`
535×	`sub-neg_binary64`
432×	`distribute-rgt-neg-in_binary64`
383×	`associate-/r*_binary64`
382×	`associate-/l*_binary64`
319×	`distribute-lft-neg-in_binary64`
304×	`*-commutative_binary64`
275×	`distribute-neg-frac_binary64`
270×	`neg-mul-1_binary64`
260×	`neg-sub0_binary64`
184×	`associate--r+_binary64`
182×	`unsub-neg_binary64`
164×	`associate-/r/_binary64`
158×	`cancel-sign-sub-inv_binary64`
137×	`associate--r-_binary64`
131×	`+-commutative_binary64`
124×	`distribute-frac-neg_binary64` `associate-/l/_binary64`
118×	`distribute-rgt-neg-out_binary64`
111×	`remove-double-neg_binary64`
95×	`distribute-lft-neg-out_binary64`
93×	`distribute-neg-in_binary64`
88×	`associate-l_binary64`
87×	`associate-+l-_binary64`
80×	`distribute-lft-in_binary64` `associate-*l/_binary64`
75×	`associate-r_binary64`
73×	`associate--l+_binary64`
67×	`associate-+l+_binary64`
66×	`associate--l-_binary64` `associate-+r-_binary64`
49×	`associate-+r+_binary64`
39×	`sub0-neg_binary64` `+-rgt-identity_binary64`
38×	`+-lft-identity_binary64`
37×	`*-lft-identity_binary64`
36×	`associate-*r/_binary64`
34×	`cancel-sign-sub_binary64`
30×	`*-rgt-identity_binary64`
26×	`/-rgt-identity_binary64`
24×	`--rgt-identity_binary64`
22×	`distribute-neg-out_binary64`
20×	`distribute-lft-out_binary64`
16×	`mul0-rgt_binary64` `mul0-lft_binary64`
15×	`distribute-lft-out--_binary64`
12×	`div0_binary64`
11×	`distribute-rgt-out--_binary64`
9×	`remove-double-div_binary64`
5×	`distribute-rgt-out_binary64`
4×	`distribute-rgt1-in_binary64`
3×	`mul-1-neg_binary64`
2×	`distribute-lft1-in_binary64`
1×	`1-exp_binary64` `*-inverses_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` `+-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` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	25	21
2	43	21
3	57	21
4	66	21
5	76	21
6	113	21
7	151	21
8	240	21
9	385	21
10	484	21
11	552	21
12	650	21
13	1275	21
14	2898	21
15	3244	21
16	3247	21
17	3326	21
18	3358	21
19	3426	21
20	3437	21
21	3725	21
22	3759	21
23	3775	21
24	3775	21
25	3775	21
26	4954	21
27	5830	21

prune2.0ms (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

0.1b

Counts

1 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 6 (-.f64 x 1))
0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.1b	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

rewrite124.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64`
8×	`add-log-exp_binary64`
7×	`associate-r_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`pow1_binary64`
4×	`associate-*r/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`times-frac_binary64` `associate-/r_binary64` `sum-log_binary64` `associate-l*_binary64`
2×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64` `sub-neg_binary64` `difference-of-squares_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-+l+_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `-commutative_binary64`

Counts

3 → 70

Calls

3 calls:

16.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
7.0ms	(*.f64 6 (-.f64 x 1))
6.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 1532 to 1141 computations (25.5% saved)

series30.0ms (0.9%)

Error

0.1b

Counts

3 → 12

Calls

3 calls:

10.0ms	(*.f64 6 (-.f64 x 1))
7.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
6.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

Compiler

Compiled 272 to 237 computations (12.9% saved)

simplify82.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

430×	`distribute-rgt-in_binary64`
383×	`distribute-lft-in_binary64`
372×	`times-frac_binary64`
343×	`associate-l_binary64`
333×	`div-sub_binary64`
309×	`associate-/l*_binary64`
269×	`associate-r_binary64`
141×	`associate-+l+_binary64`
117×	`associate-+r+_binary64`
112×	`associate-/l/_binary64` `associate-/r*_binary64`
102×	`associate-*l/_binary64`
78×	`associate-*r/_binary64`
71×	`associate-/r/_binary64`
54×	`*-commutative_binary64`
51×	`cancel-sign-sub-inv_binary64`
39×	`sub-neg_binary64`
35×	`distribute-rgt-neg-in_binary64`
33×	`exp-prod_binary64`
27×	`cube-prod_binary64` `associate--r+_binary64`
26×	`distribute-lft-neg-in_binary64`
25×	`distribute-rgt-out_binary64`
24×	`sqr-pow_binary64`
22×	`exp-sum_binary64` `+-commutative_binary64`
21×	`neg-mul-1_binary64`
20×	`log-div_binary64` `neg-sub0_binary64`
19×	`distribute-neg-in_binary64` `associate--l+_binary64`
18×	`cube-div_binary64` `associate-+r-_binary64`
14×	`log-prod_binary64`
13×	`associate-+l-_binary64`
11×	`distribute-lft-neg-out_binary64`
10×	`*-rgt-identity_binary64`
9×	`unpow3_binary64` `unsub-neg_binary64` `swap-sqr_binary64` `distribute-rgt-out--_binary64`
8×	`cube-mult_binary64` `*-lft-identity_binary64`
7×	`cube-unmult_binary64`
6×	`exp-diff_binary64` `mul-1-neg_binary64` `unswap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64`
5×	`prod-exp_binary64`
4×	`log-rec_binary64` `/-rgt-identity_binary64` `distribute-rgt1-in_binary64`
3×	`associate--l-_binary64`
2×	`unpow1/2_binary64` `pow-plus_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64`
1×	`unpow2_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `difference-of-squares_binary64` `distribute-lft-out--_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` `pow-base-0_binary64` `unpow1/3_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` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64`

Counts

82 → 61

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1349
1	330	1153
2	1044	1147
3	4412	1147
4	5173	1147

prune57.0ms (1.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	57	4	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	4	62

Error

Counts

62 → 4

Compiler

Compiled 997 to 739 computations (25.9% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))
0.0b	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))
0.1b	(/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))

rewrite164.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`add-sqr-sqrt_binary64`
48×	`*-un-lft-identity_binary64`
43×	`times-frac_binary64`
27×	`add-cube-cbrt_binary64` `associate-r_binary64`
14×	`difference-of-squares_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
7×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `associate-/l*_binary64`
5×	`pow1_binary64`
4×	`associate-/r/_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `associate-/r_binary64` `associate-l*_binary64` `sum-log_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `associate-/l/_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `flip3--_binary64` `flip--_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `associate-+l+_binary64` `+-commutative_binary64`

Counts

3 → 107

Calls

3 calls:

17.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))
11.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
6.0ms	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 2481 to 1808 computations (27.1% saved)

series25.0ms (0.7%)

Error

Counts

3 → 9

Calls

3 calls:

7.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
6.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))
6.0ms	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 176 to 168 computations (4.5% saved)

simplify156.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

596×	`div-sub_binary64`
400×	`distribute-rgt-in_binary64`
365×	`distribute-lft-in_binary64`
319×	`distribute-rgt-out_binary64`
291×	`associate-l_binary64`
219×	`associate-r_binary64`
186×	`associate-/l*_binary64`
180×	`associate-*l/_binary64`
170×	`associate-*r/_binary64`
148×	`associate-+l+_binary64`
147×	`times-frac_binary64`
138×	`cancel-sign-sub-inv_binary64`
136×	`*-commutative_binary64`
126×	`sub-neg_binary64`
114×	`associate-/r*_binary64` `associate-+r+_binary64`
98×	`associate-/l/_binary64`
71×	`associate-/r/_binary64`
56×	`distribute-rgt-neg-in_binary64`
53×	`distribute-neg-in_binary64` `distribute-rgt-out--_binary64`
51×	`+-commutative_binary64`
44×	`sqr-pow_binary64`
43×	`distribute-lft-neg-out_binary64`
41×	`exp-prod_binary64`
40×	`distribute-lft-neg-in_binary64`
39×	`unsub-neg_binary64`
34×	`distribute-rgt-neg-out_binary64`
33×	`exp-sum_binary64` `neg-sub0_binary64` `*-rgt-identity_binary64` `unswap-sqr_binary64`
30×	`*-lft-identity_binary64`
26×	`cube-prod_binary64` `neg-mul-1_binary64`
25×	`log-div_binary64` `cube-div_binary64` `associate--r+_binary64`
24×	`distribute-rgt1-in_binary64`
23×	`distribute-neg-frac_binary64`
20×	`/-rgt-identity_binary64` `distribute-lft1-in_binary64` `associate-+r-_binary64`
18×	`swap-sqr_binary64`
17×	`unpow3_binary64`
16×	`associate--l+_binary64`
15×	`associate-+l-_binary64`
14×	`log-prod_binary64` `cube-mult_binary64` `mul-1-neg_binary64`
12×	`+-rgt-identity_binary64`
9×	`cube-unmult_binary64`
7×	`prod-exp_binary64` `exp-diff_binary64`
6×	`log-rec_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64`
5×	`pow-plus_binary64` `pow-sqr_binary64`
4×	`difference-of-squares_binary64`
3×	`unpow1/2_binary64`
2×	`exp-neg_binary64` `remove-double-div_binary64` `distribute-lft-out_binary64` `associate--l-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `difference-of-sqr--1_binary64` `distribute-lft-out--_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` `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` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64`

Counts

116 → 92

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	3051
1	355	2807
2	1076	2799
3	3555	2799
4	4735	2799
5	5707	2799

prune88.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	92	4	96

Error

Counts

96 → 4

Compiler

Compiled 1855 to 1357 computations (26.8% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 6 (log.f64 (exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))))
0.0b	(exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))))
0.1b	(/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
0.1b	(log.f64 (exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))))

rewrite223.0ms (6.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

68×	`*-un-lft-identity_binary64`
54×	`exp-prod_binary64`
48×	`times-frac_binary64`
44×	`add-sqr-sqrt_binary64`
42×	`add-cube-cbrt_binary64`
38×	`log-pow_binary64`
22×	`associate-r_binary64`
13×	`distribute-lft-out_binary64`
9×	`log-prod_binary64`
8×	`pow1_binary64` `associate-/r/_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`flip3-+_binary64` `flip-+_binary64` `add-log-exp_binary64`
4×	`div-inv_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64`
1×	`rem-log-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `rem-exp-log_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 134

Calls

4 calls:

18.0ms	(.f64 6 (log.f64 (exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))))
12.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))))
11.0ms	(exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))))
10.0ms	(/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))

Compiler

Compiled 3546 to 2686 computations (24.3% saved)

series37.0ms (1.1%)

Error

Counts

4 → 12

Calls

4 calls:

9.0ms	(exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))))
8.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))))
7.0ms	(.f64 6 (log.f64 (exp.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))))
7.0ms	(/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))

Compiler

Compiled 256 to 253 computations (1.2% saved)

simplify210.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

418×	`distribute-rgt-in_binary64`
406×	`unsub-neg_binary64`
389×	`distribute-lft-in_binary64`
349×	`associate-l_binary64`
306×	`cancel-sign-sub-inv_binary64`
281×	`div-sub_binary64`
275×	`associate-r_binary64`
167×	`sub-neg_binary64`
140×	`associate-+l+_binary64` `*-commutative_binary64`
121×	`associate-*l/_binary64`
119×	`neg-sub0_binary64`
118×	`associate-*r/_binary64`
91×	`neg-mul-1_binary64`
89×	`associate-/l*_binary64`
88×	`associate-+r+_binary64`
74×	`times-frac_binary64`
67×	`associate-/r*_binary64`
51×	`associate-+l-_binary64`
44×	`log-prod_binary64` `sqr-pow_binary64`
43×	`exp-prod_binary64`
38×	`+-commutative_binary64`
36×	`log-pow_binary64` `associate-/l/_binary64`
34×	`cube-prod_binary64`
33×	`associate-+r-_binary64`
32×	`distribute-lft-neg-out_binary64`
29×	`distribute-rgt-neg-in_binary64` `associate-/r/_binary64`
26×	`distribute-rgt-neg-out_binary64`
25×	`*-rgt-identity_binary64`
24×	`exp-sum_binary64`
23×	`rem-log-exp_binary64` `*-lft-identity_binary64`
22×	`log-div_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-out_binary64` `associate--r+_binary64`
21×	`swap-sqr_binary64`
20×	`exp-diff_binary64`
18×	`distribute-neg-in_binary64`
16×	`cube-div_binary64` `unswap-sqr_binary64`
15×	`associate--l+_binary64`
14×	`mul-1-neg_binary64` `sub0-neg_binary64`
13×	`unpow3_binary64` `+-rgt-identity_binary64`
11×	`cube-unmult_binary64` `cube-mult_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64`
10×	`/-rgt-identity_binary64`
9×	`exp-to-pow_binary64`
8×	`sqr-neg_binary64`
6×	`pow-sqr_binary64` `associate--l-_binary64`
5×	`prod-exp_binary64` `cube-neg_binary64` `div0_binary64` `associate--r-_binary64`
4×	`log-rec_binary64` `--rgt-identity_binary64`
3×	`remove-double-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64`
2×	`pow-plus_binary64` `rem-exp-log_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-frac_binary64`
1×	`unpow1/2_binary64` `e-exp-1_binary64` `1-exp_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `difference-of-sqr--1_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64`

Counts

146 → 70

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	3694
1	371	3374
2	952	3362
3	3219	3362
4	4657	3362
5	4992	3362
6	4899	3362

prune69.0ms (2.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	70	4	74

Error

Counts

74 → 4

Compiler

Compiled 1371 to 1037 computations (24.4% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 6 (log.f64 (pow.f64 E.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))))
0.0b	(pow.f64 E.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))))
0.1b	(/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
0.1b	(log.f64 (pow.f64 E.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))))

rewrite201.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

44×	`*-un-lft-identity_binary64`
32×	`add-sqr-sqrt_binary64`
30×	`add-cube-cbrt_binary64`
24×	`times-frac_binary64`
21×	`log-prod_binary64`
18×	`pow-unpow_binary64`
12×	`unpow-prod-down_binary64`
11×	`add-exp-log_binary64`
8×	`add-cbrt-cube_binary64`
7×	`pow1_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
4×	`sqr-pow_binary64` `rem-log-exp_binary64` `pow-exp_binary64` `add-log-exp_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-r*_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `associate-/r_binary64` `associate-l*_binary64`
2×	`log-pow_binary64` `pow-to-exp_binary64` `e-exp-1_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `pow-pow_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 120

Calls

4 calls:

10.0ms	(pow.f64 E.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))))
10.0ms	(/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))
6.0ms	(.f64 6 (log.f64 (pow.f64 E.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))))
3.0ms	(log.f64 (pow.f64 E.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))))

Compiler

Compiled 3360 to 2421 computations (27.9% saved)

series36.0ms (1.1%)

Error

Counts

4 → 12

Calls

4 calls:

8.0ms	(log.f64 (pow.f64 E.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))))
8.0ms	(.f64 6 (log.f64 (pow.f64 E.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (.f64 4 (sqrt.f64 x)))))))
8.0ms	(pow.f64 E.f64 (/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))))
7.0ms	(/.f64 (+.f64 -1 x) (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))))

Compiler

Compiled 269 to 264 computations (1.9% saved)

simplify145.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

442×	`distribute-rgt-in_binary64`
424×	`distribute-lft-in_binary64`
400×	`associate-l_binary64`
367×	`div-sub_binary64`
321×	`associate-r_binary64`
185×	`associate-*r/_binary64`
184×	`associate-*l/_binary64`
154×	`*-commutative_binary64`
132×	`times-frac_binary64`
128×	`associate-/l*_binary64`
112×	`associate-/l/_binary64`
106×	`sqr-pow_binary64`
105×	`associate-+l+_binary64`
99×	`associate-/r*_binary64`
76×	`associate-+r+_binary64`
63×	`log-prod_binary64`
45×	`pow-sqr_binary64`
40×	`cube-prod_binary64` `cancel-sign-sub-inv_binary64` `associate-+l-_binary64`
39×	`exp-prod_binary64`
29×	`cube-unmult_binary64`
27×	`distribute-lft-neg-out_binary64`
25×	`sub-neg_binary64`
24×	`+-commutative_binary64`
23×	`log-pow_binary64` `distribute-rgt-neg-out_binary64` `associate-/r/_binary64` `associate-+r-_binary64`
22×	`distribute-rgt-neg-in_binary64`
21×	`log-div_binary64` `*-rgt-identity_binary64`
20×	`unswap-sqr_binary64`
18×	`*-lft-identity_binary64`
17×	`cube-div_binary64` `distribute-lft-neg-in_binary64`
14×	`distribute-neg-in_binary64`
13×	`exp-sum_binary64` `neg-sub0_binary64`
12×	`swap-sqr_binary64` `associate--r+_binary64`
11×	`neg-mul-1_binary64` `unsub-neg_binary64` `associate--l+_binary64`
8×	`cube-mult_binary64` `distribute-rgt-out_binary64`
7×	`exp-to-pow_binary64` `prod-exp_binary64` `count-2_binary64`
6×	`unpow3_binary64` `mul-1-neg_binary64` `associate--l-_binary64`
5×	`pow-plus_binary64` `distribute-rgt-out--_binary64`
4×	`pow-base-1_binary64` `rem-sqrt-square_binary64` `/-rgt-identity_binary64` `distribute-rgt1-in_binary64`
3×	`log-rec_binary64` `associate--r-_binary64`
2×	`unpow1/2_binary64` `exp-lft-sqr_binary64` `rem-exp-log_binary64` `sqr-neg_binary64` `distribute-neg-frac_binary64`
1×	`log-E_binary64` `unpow1_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `1-exp_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_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` `unpow2_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`

Counts

132 → 73

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	3778
1	383	3482
2	1108	3341
3	3907	3329
4	4937	3329

prune57.0ms (1.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	73	4	77

Error

Counts

77 → 4

Compiler

Compiled 1107 to 825 computations (25.5% saved)

regimes301.0ms (9.1%)

Accuracy

Total 0.0b remaining (65.9%)

Threshold costs 0.0b (65.9%)

Compiler

Compiled 4340 to 3652 computations (15.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`1-exp_binary64` `sub-neg_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` `neg-mul-1_binary64` `neg-sub0_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-neg-frac_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	13	21
1	22	21
2	23	21
3	20	21

end1.0ms (0%)

Compiler: Compiled 14 to 12 computations (14.3% saved)

sample662.0ms (20%)

Algorithm

1×

intervals

Results

339.0ms	8000×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 107 to 97 computations (9.3% saved)

Details

analyze292.0ms (8.8%)

sample18.0ms (0.5%)

simplify281.0ms (8.5%)

prune2.0ms (0.1%)

localize8.0ms (0.3%)

rewrite124.0ms (3.7%)

series30.0ms (0.9%)

simplify82.0ms (2.5%)

prune57.0ms (1.7%)

localize8.0ms (0.3%)

rewrite164.0ms (4.9%)

series25.0ms (0.7%)

simplify156.0ms (4.7%)

prune88.0ms (2.6%)

localize15.0ms (0.5%)

rewrite223.0ms (6.7%)

series37.0ms (1.1%)

simplify210.0ms (6.4%)

prune69.0ms (2.1%)

localize13.0ms (0.4%)

rewrite201.0ms (6.1%)

series36.0ms (1.1%)

simplify145.0ms (4.4%)

prune57.0ms (1.7%)

regimes301.0ms (9.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample662.0ms (20%)

Profiling