Details

analyze1.3s (13.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

895×	`sub-neg_binary64`
471×	`div-sub_binary64`
349×	`unsub-neg_binary64`
310×	`associate-/l*_binary64`
307×	`neg-mul-1_binary64`
248×	`neg-sub0_binary64`
232×	`sqr-pow_binary64`
228×	`distribute-rgt-neg-in_binary64`
223×	`associate-/r*_binary64`
211×	`cancel-sign-sub-inv_binary64` `associate-+l-_binary64`
200×	`distribute-lft-neg-in_binary64` `associate-/l/_binary64`
198×	`associate-*l/_binary64`
195×	`associate-/r/_binary64`
178×	`distribute-neg-in_binary64`
175×	`times-frac_binary64`
171×	`+-commutative_binary64`
119×	`distribute-neg-frac_binary64` `distribute-rgt-in_binary64`
112×	`pow-sqr_binary64`
94×	`*-commutative_binary64`
93×	`associate--l+_binary64`
89×	`associate--r+_binary64`
85×	`distribute-lft-neg-out_binary64`
81×	`sub0-neg_binary64`
78×	`distribute-frac-neg_binary64` `distribute-lft-in_binary64`
71×	`distribute-rgt-neg-out_binary64`
68×	`associate--r-_binary64`
64×	`rem-sqrt-square_binary64`
63×	`associate-+r-_binary64` `associate-+r+_binary64`
48×	`log-prod_binary64` `associate-r_binary64`
45×	`distribute-rgt-out--_binary64` `associate-+l+_binary64`
44×	`associate--l-_binary64`
43×	`cancel-sign-sub_binary64`
40×	`*-lft-identity_binary64` `div0_binary64` `difference-of-sqr--1_binary64`
38×	`remove-double-neg_binary64`
35×	`--rgt-identity_binary64`
34×	`distribute-rgt1-in_binary64`
32×	`exp-prod_binary64` `difference-of-sqr-1_binary64` `swap-sqr_binary64`
24×	`mul0-rgt_binary64` `mul0-lft_binary64`
23×	`*-rgt-identity_binary64`
18×	`+-lft-identity_binary64`
16×	`exp-diff_binary64` `exp-sum_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `+-rgt-identity_binary64`
13×	`associate-*r/_binary64`
12×	`distribute-rgt-out_binary64` `associate-l_binary64`
8×	`unpow1/2_binary64`
6×	`distribute-neg-out_binary64` `distribute-lft-out--_binary64`
1×	`1-exp_binary64` `exp-1-e_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_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` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	140
1	94	140
2	223	140
3	397	140
4	788	140
5	1435	140
6	1769	140
7	2227	140
8	3363	140
9	3984	140
10	4592	140
11	4965	140
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
1.6%	98.2%	0.2%	9
2.3%	97.5%	0.2%	10
11.7%	88.1%	0.2%	11
13.1%	74.3%	12.7%	12
16.1%	70.5%	13.5%	13
18.6%	68%	13.5%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample87.0ms (0.9%)

Algorithm

1×

intervals

Results

22.0ms	46×	body	1024	valid
11.0ms	14×	body	2048	valid
11.0ms	44×	body	512	valid
10.0ms	133×	body	128	valid
6.0ms	26×	body	128	overflowed
3.0ms	19×	body	256	valid
2.0ms	46×	body	128	nan
2.0ms	12×	body	512	nan
2.0ms	6×	body	1024	nan
1.0ms	6×	body	256	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify308.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

2361×	`associate--r-_binary64`
653×	`div-sub_binary64`
609×	`unsub-neg_binary64`
473×	`sub-neg_binary64`
424×	`distribute-rgt-in_binary64`
405×	`distribute-lft-in_binary64`
352×	`distribute-neg-in_binary64`
267×	`associate-/r/_binary64`
250×	`associate-/l*_binary64`
214×	`*-commutative_binary64`
173×	`distribute-rgt-out--_binary64`
172×	`associate-+r+_binary64`
170×	`distribute-lft-neg-in_binary64`
158×	`cancel-sign-sub-inv_binary64`
155×	`distribute-rgt-neg-in_binary64`
153×	`+-commutative_binary64`
138×	`associate-/r*_binary64`
129×	`associate-+l+_binary64`
122×	`associate--r+_binary64`
113×	`neg-mul-1_binary64`
104×	`neg-sub0_binary64`
89×	`distribute-neg-frac_binary64`
84×	`distribute-lft-neg-out_binary64`
79×	`associate--l+_binary64`
71×	`associate-+l-_binary64`
60×	`associate-/l/_binary64`
54×	`distribute-rgt-neg-out_binary64` `associate-r_binary64`
53×	`distribute-neg-out_binary64` `associate-*l/_binary64`
50×	`mul0-rgt_binary64` `mul0-lft_binary64`
44×	`cancel-sign-sub_binary64`
38×	`distribute-rgt-out_binary64`
34×	`associate-+r-_binary64`
32×	`-rgt-identity_binary64` `associate-l*_binary64`
31×	`*-lft-identity_binary64`
27×	`distribute-frac-neg_binary64`
22×	`associate-*r/_binary64`
20×	`associate--l-_binary64`
19×	`remove-double-neg_binary64`
18×	`--rgt-identity_binary64` `distribute-rgt1-in_binary64`
17×	`sub0-neg_binary64`
15×	`+-lft-identity_binary64`
11×	`distribute-lft-out--_binary64`
9×	`distribute-lft-out_binary64`
8×	`log-prod_binary64` `/-rgt-identity_binary64` `div0_binary64`
6×	`count-2_binary64`
4×	`+-rgt-identity_binary64` `distribute-lft1-in_binary64`
1×	`1-exp_binary64` `mul-1-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` `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` `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` `times-frac_binary64` `*-inverses_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`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	23	20
2	46	20
3	78	20
4	154	20
5	262	20
6	327	20
7	335	20
8	391	20
9	527	20
10	1248	20
11	1316	20
12	1798	20
13	2519	20
14	2866	20
15	3010	20
16	2908	20
17	2904	20
18	2916	20
19	2928	20
20	2932	20
21	2868	20
22	2868	20
23	2868	20
24	3534	20
25	2958	20
26	2958	20
27	2958	20
28	5254	20

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

20.8b

Counts

1 → 1

Compiler

Compiled 13 to 12 computations (7.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (exp.f64 z))
0.0b	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
1.4b	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
1.9b	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))

rewrite173.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

11.4b

Rules

19×	`add-sqr-sqrt_binary64`
17×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
12×	`times-frac_binary64`
11×	`pow1_binary64`
9×	`add-log-exp_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`log-pow_binary64`
4×	`associate-+l+_binary64` `log-div_binary64` `associate-/l*_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `cancel-sign-sub-inv_binary64` `log-prod_binary64` `associate-/r_binary64` `associate-l_binary64` `associate-r*_binary64`
2×	`sum-log_binary64` `div-sub_binary64`
1×	`diff-log_binary64` `associate-+l-_binary64` `sub-neg_binary64` `+-commutative_binary64` `rem-log-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 82

Calls

4 calls:

8.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
7.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
6.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
5.0ms	(*.f64 y (exp.f64 z))

Compiler

Compiled 1679 to 838 computations (50.1% saved)

series212.0ms (2.3%)

Error

0.7b

Counts

4 → 45

Calls

4 calls:

82.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
43.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
22.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
17.0ms	(*.f64 y (exp.f64 z))

Compiler

Compiled 2186 to 1712 computations (21.7% saved)

simplify132.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

490×	`associate-/l*_binary64`
367×	`cancel-sign-sub-inv_binary64`
313×	`distribute-rgt-in_binary64`
255×	`distribute-lft-in_binary64`
191×	`sub-neg_binary64`
151×	`associate-r_binary64`
129×	`distribute-rgt-neg-in_binary64`
127×	`associate-/r/_binary64`
125×	`associate-l_binary64`
119×	`+-commutative_binary64`
113×	`distribute-rgt-out_binary64`
108×	`distribute-lft-neg-in_binary64`
101×	`*-commutative_binary64`
87×	`unswap-sqr_binary64`
83×	`distribute-neg-in_binary64`
80×	`associate-+r+_binary64`
72×	`associate-/l/_binary64` `associate-+l+_binary64`
64×	`neg-mul-1_binary64` `neg-sub0_binary64`
52×	`associate--l+_binary64`
48×	`distribute-lft-out_binary64` `associate--r+_binary64`
47×	`log-prod_binary64`
44×	`exp-prod_binary64`
42×	`unsub-neg_binary64` `distribute-neg-frac_binary64`
35×	`sqr-pow_binary64`
29×	`distribute-rgt-out--_binary64`
27×	`distribute-lft-neg-out_binary64`
25×	`associate-/r*_binary64`
24×	`*-rgt-identity_binary64`
23×	`times-frac_binary64` `associate-*l/_binary64`
21×	`associate-*r/_binary64`
17×	`*-lft-identity_binary64`
15×	`distribute-rgt1-in_binary64`
13×	`cube-prod_binary64`
12×	`prod-exp_binary64` `exp-sum_binary64` `distribute-rgt-neg-out_binary64`
11×	`swap-sqr_binary64`
10×	`div-sub_binary64`
9×	`distribute-lft1-in_binary64` `distribute-lft-out--_binary64`
8×	`log-div_binary64`
7×	`exp-diff_binary64` `/-rgt-identity_binary64`
6×	`log-pow_binary64` `associate-+l-_binary64`
5×	`unpow3_binary64` `cube-unmult_binary64`
4×	`cube-mult_binary64` `associate--r-_binary64` `associate-+r-_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `count-2_binary64`
2×	`div-exp_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_binary64` `distribute-frac-neg_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64` `associate--l-_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-plus_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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-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` `remove-double-div_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64`

Counts

127 → 95

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	2884
1	680	2707
2	2118	2636
3	4991	2636
4	5004	2636

prune135.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	88	7	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	7	96

Error

0.3b

Counts

96 → 7

Compiler

Compiled 1918 to 1044 computations (45.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.4b	(*.f64 (/.f64 y t) z)

rewrite57.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
10×	`times-frac_binary64`
9×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-r_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-l/_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

1 → 32

Calls

1 calls:

6.0ms

(*.f64 (/.f64 y t) z)

Compiler

Compiled 419 to 147 computations (64.9% saved)

series26.0ms (0.3%)

Error

0.3b

Counts

1 → 9

Calls

1 calls:

25.0ms

(*.f64 (/.f64 y t) z)

Compiler

Compiled 133 to 133 computations (0% saved)

simplify104.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

516×	`times-frac_binary64`
449×	`sqr-pow_binary64`
397×	`unsub-neg_binary64`
279×	`sub-neg_binary64`
273×	`cancel-sign-sub-inv_binary64`
270×	`pow-sqr_binary64`
260×	`associate--r-_binary64`
244×	`distribute-rgt-in_binary64`
232×	`associate-/l/_binary64`
230×	`associate-/r*_binary64`
208×	`associate-l_binary64` `associate--l-_binary64`
182×	`associate-*l/_binary64`
178×	`unswap-sqr_binary64`
168×	`*-commutative_binary64`
167×	`associate-/r/_binary64`
148×	`distribute-neg-in_binary64`
145×	`associate-/l*_binary64`
142×	`associate-r_binary64`
130×	`associate-*r/_binary64`
125×	`distribute-lft-in_binary64`
105×	`rem-sqrt-square_binary64`
87×	`neg-mul-1_binary64`
82×	`neg-sub0_binary64`
65×	`associate-+r+_binary64`
63×	`associate-+l+_binary64`
44×	`-rgt-identity_binary64` `-lft-identity_binary64`
43×	`associate--r+_binary64`
40×	`+-commutative_binary64`
37×	`associate--l+_binary64`
32×	`associate-+r-_binary64`
29×	`exp-prod_binary64`
27×	`associate-+l-_binary64`
23×	`log-prod_binary64` `swap-sqr_binary64`
22×	`cube-prod_binary64`
20×	`log-div_binary64`
19×	`cube-div_binary64` `+-lft-identity_binary64` `distribute-lft-neg-out_binary64`
17×	`+-rgt-identity_binary64`
15×	`distribute-rgt-neg-in_binary64`
12×	`remove-double-neg_binary64`
11×	`distribute-lft-neg-in_binary64`
9×	`distribute-rgt-neg-out_binary64` `distribute-rgt-out_binary64`
8×	`/-rgt-identity_binary64`
7×	`unpow1/2_binary64` `sub0-neg_binary64`
6×	`unpow3_binary64` `cube-mult_binary64` `--rgt-identity_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
5×	`log-rec_binary64` `cube-unmult_binary64`
4×	`distribute-neg-out_binary64` `distribute-rgt1-in_binary64`
2×	`mul-1-neg_binary64` `distribute-lft1-in_binary64`
1×	`1-exp_binary64` `exp-1-e_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` `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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_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` `rem-square-sqrt_binary64` `div-sub_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` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64`

Counts

41 → 26

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	426
1	152	378
2	384	378
3	1117	378
4	2179	378
5	2656	378
6	3046	378
7	3904	378
8	4615	378
9	5201	378

prune42.0ms (0.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	26	7	33

Error

0.3b

Counts

33 → 7

Compiler

Compiled 481 to 247 computations (48.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

6.0b	(*.f64 y (/.f64 z t))

rewrite55.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-l_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

1 → 32

Calls

1 calls:

7.0ms

(*.f64 y (/.f64 z t))

Compiler

Compiled 419 to 147 computations (64.9% saved)

series26.0ms (0.3%)

Error

0.3b

Counts

1 → 9

Calls

1 calls:

25.0ms

(*.f64 y (/.f64 z t))

Compiler

Compiled 133 to 133 computations (0% saved)

simplify113.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

550×	`unsub-neg_binary64`
443×	`unswap-sqr_binary64`
384×	`associate-/l/_binary64`
375×	`distribute-rgt-in_binary64`
359×	`distribute-neg-in_binary64`
349×	`sub-neg_binary64`
337×	`sqr-pow_binary64`
299×	`associate--l+_binary64`
297×	`cancel-sign-sub-inv_binary64`
286×	`associate-/r*_binary64`
284×	`associate-/r/_binary64`
225×	`associate-l_binary64`
201×	`*-commutative_binary64`
196×	`associate-*r/_binary64`
193×	`associate-*l/_binary64`
191×	`pow-sqr_binary64`
172×	`associate-+l-_binary64`
168×	`associate-/l*_binary64`
162×	`associate-r_binary64`
110×	`associate--l-_binary64`
109×	`neg-sub0_binary64`
106×	`neg-mul-1_binary64`
93×	`times-frac_binary64`
84×	`*-rgt-identity_binary64`
82×	`associate-+l+_binary64`
80×	`rem-sqrt-square_binary64` `associate--r-_binary64`
70×	`distribute-neg-out_binary64`
67×	`*-lft-identity_binary64`
63×	`associate-+r-_binary64`
60×	`distribute-rgt-neg-in_binary64`
58×	`associate-+r+_binary64`
55×	`distribute-lft-in_binary64`
51×	`distribute-lft-neg-out_binary64`
41×	`distribute-rgt-out--_binary64`
35×	`distribute-lft-neg-in_binary64`
32×	`associate--r+_binary64`
26×	`+-rgt-identity_binary64`
25×	`+-commutative_binary64`
24×	`distribute-rgt-neg-out_binary64`
23×	`remove-double-neg_binary64`
22×	`/-rgt-identity_binary64`
19×	`log-div_binary64` `log-prod_binary64`
18×	`exp-prod_binary64` `distribute-lft-out--_binary64`
16×	`distribute-rgt-out_binary64`
15×	`cube-div_binary64` `cancel-sign-sub_binary64`
13×	`swap-sqr_binary64`
12×	`cube-prod_binary64`
8×	`sub0-neg_binary64` `distribute-lft-out_binary64`
7×	`unpow3_binary64`
6×	`unpow1/2_binary64` `cube-mult_binary64` `distribute-rgt1-in_binary64`
5×	`cube-unmult_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `distribute-lft1-in_binary64`
4×	`log-rec_binary64` `remove-double-div_binary64`
2×	`+-lft-identity_binary64` `+-inverses_binary64`
1×	`1-exp_binary64` `exp-1-e_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` `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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_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` `rem-square-sqrt_binary64` `div-sub_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64`

Counts

41 → 21

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	435
1	160	390
2	524	390
3	1313	390
4	2188	390
5	2511	390
6	3496	390
7	3853	390
8	4216	390
9	5386	390

prune25.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	21	7	28

Error

0.3b

Counts

28 → 7

Compiler

Compiled 360 to 205 computations (43.1% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 z) 2)
0.7b	(/.f64 (-.f64 (.f64 (exp.f64 z) (+.f64 y (.f64 y y))) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/2 (pow.f64 (exp.f64 z) 2)))))) t)
3.0b	(.f64 (exp.f64 z) (+.f64 y (.f64 y y)))
7.2b	(-.f64 (.f64 (exp.f64 z) (+.f64 y (.f64 y y))) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/2 (pow.f64 (exp.f64 z) 2))))))

rewrite244.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

20×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
10×	`associate-*r/_binary64`
9×	`add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64` `times-frac_binary64`
8×	`add-cbrt-cube_binary64` `frac-sub_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`associate-/l/_binary64`
5×	`associate-r_binary64`
4×	`pow-pow_binary64`
3×	`cancel-sign-sub-inv_binary64` `associate-l_binary64` `associate-/l_binary64` `associate-/r_binary64` `unpow-prod-down_binary64` `pow-unpow_binary64` `exp-prod_binary64`
2×	`diff-log_binary64` `flip3--_binary64` `flip--_binary64` `distribute-rgt-in_binary64` `associate--l+_binary64` `distribute-lft-in_binary64`
1×	`sum-log_binary64` `sub-neg_binary64` `associate--r+_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64` `*-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow2_binary64` `sqr-pow_binary64`

Counts

4 → 101

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (.f64 (exp.f64 z) (+.f64 y (.f64 y y))) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/2 (pow.f64 (exp.f64 z) 2)))))) t)
10.0ms	(-.f64 (.f64 (exp.f64 z) (+.f64 y (.f64 y y))) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/2 (pow.f64 (exp.f64 z) 2))))))
7.0ms	(.f64 (exp.f64 z) (+.f64 y (.f64 y y)))
4.0ms	(pow.f64 (exp.f64 z) 2)

Compiler

Compiled 4731 to 2079 computations (56.1% saved)

series310.0ms (3.4%)

Error

0.3b

Counts

4 → 43

Calls

4 calls:

145.0ms	(/.f64 (-.f64 (.f64 (exp.f64 z) (+.f64 y (.f64 y y))) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/2 (pow.f64 (exp.f64 z) 2)))))) t)
73.0ms	(-.f64 (.f64 (exp.f64 z) (+.f64 y (.f64 y y))) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/2 (pow.f64 (exp.f64 z) 2))))))
36.0ms	(.f64 (exp.f64 z) (+.f64 y (.f64 y y)))
9.0ms	(pow.f64 (exp.f64 z) 2)

Compiler

Compiled 2899 to 2091 computations (27.9% saved)

simplify191.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

261×	`associate-l_binary64`
239×	`sub-neg_binary64`
233×	`associate-r_binary64`
203×	`distribute-rgt-in_binary64`
202×	`div-sub_binary64`
198×	`unswap-sqr_binary64`
193×	`exp-prod_binary64`
190×	`distribute-lft-in_binary64`
179×	`*-commutative_binary64`
127×	`+-commutative_binary64`
98×	`associate-/l*_binary64`
91×	`associate-+r+_binary64`
89×	`associate-+l+_binary64`
88×	`neg-mul-1_binary64` `neg-sub0_binary64` `cancel-sign-sub-inv_binary64`
80×	`log-prod_binary64`
71×	`sqr-pow_binary64`
68×	`associate--r+_binary64`
66×	`associate--l+_binary64`
61×	`times-frac_binary64`
47×	`unsub-neg_binary64`
40×	`distribute-rgt-neg-in_binary64`
39×	`cube-prod_binary64`
37×	`distribute-neg-in_binary64`
35×	`exp-sum_binary64`
28×	`distribute-lft-neg-in_binary64` `distribute-rgt-out_binary64`
27×	`unpow3_binary64`
20×	`*-lft-identity_binary64` `associate-/r/_binary64`
19×	`associate-l/_binary64` `associate-r/_binary64`
18×	`prod-exp_binary64`
17×	`*-rgt-identity_binary64`
16×	`log-pow_binary64` `pow-plus_binary64` `exp-diff_binary64`
15×	`associate-/l/_binary64`
14×	`difference-of-squares_binary64` `associate-/r*_binary64`
13×	`distribute-lft-neg-out_binary64`
12×	`pow-sqr_binary64`
11×	`/-rgt-identity_binary64`
10×	`unpow1/2_binary64`
9×	`log-div_binary64` `cube-unmult_binary64` `cube-mult_binary64` `distribute-rgt1-in_binary64`
8×	`swap-sqr_binary64`
6×	`unpow2_binary64` `unpow1_binary64` `distribute-rgt-out--_binary64`
5×	`cube-div_binary64` `distribute-lft-out_binary64`
4×	`rem-sqrt-square_binary64` `mul-1-neg_binary64` `associate-+r-_binary64`
3×	`div-exp_binary64` `remove-double-neg_binary64`
2×	`log-rec_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `associate--r-_binary64` `associate-+l-_binary64`
1×	`rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sub0-neg_binary64` `difference-of-sqr--1_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-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` `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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-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` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

144 → 118

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	303	5346
1	906	4919
2	3423	4841
3	4757	4841
4	4977	4841

prune170.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	118	7	125

Error

0.3b

Counts

125 → 7

Compiler

Compiled 3812 to 1897 computations (50.2% saved)

regimes2.6s (27.8%)

Accuracy

Total 7.9b remaining (97.7%)

Threshold costs 0b (0%)

Compiler

Compiled 22533 to 18117 computations (19.6% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 8 to 9 computations (-12.5% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

86×	`distribute-rgt-neg-in_binary64`
63×	`cancel-sign-sub-inv_binary64`
61×	`distribute-lft-neg-in_binary64`
51×	`distribute-neg-in_binary64`
49×	`neg-mul-1_binary64` `neg-sub0_binary64`
38×	`distribute-lft-neg-out_binary64`
31×	`sub-neg_binary64` `distribute-rgt-neg-out_binary64` `+-commutative_binary64`
27×	`*-commutative_binary64`
21×	`unsub-neg_binary64`
18×	`remove-double-neg_binary64`
3×	`distribute-neg-frac_binary64`
2×	`distribute-neg-out_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `distribute-frac-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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	113
1	67	113
2	103	113
3	139	113
4	174	113
5	208	113
6	243	113
7	302	113
8	371	113
9	419	113
10	444	113
11	455	113
12	457	113
13	451	113

end2.0ms (0%)

Compiler: Compiled 73 to 43 computations (41.1% saved)

sample2.9s (31.3%)

Algorithm

1×

intervals

Results

825.0ms	1820×	body	1024	valid
364.0ms	1390×	body	512	valid
296.0ms	3746×	body	128	valid
265.0ms	290×	body	2048	valid
120.0ms	754×	body	256	valid
77.0ms	1565×	body	128	nan
63.0ms	215×	body	1024	nan
51.0ms	839×	body	128	overflowed
49.0ms	254×	body	512	nan
20.0ms	174×	body	256	nan
1.0ms	18×	body	128	invalid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 303 to 231 computations (23.8% saved)

Iter	Nodes	Cost
0	41	113
1	67	113
2	103	113
3	139	113
4	174	113
5	208	113
6	243	113
7	302	113
8	371	113
9	419	113
10	444	113
11	455	113
12	457	113
13	451	113

Iter	Nodes	Cost
0	41	113
1	67	113
2	103	113
3	139	113
4	174	113
5	208	113
6	243	113
7	302	113
8	371	113
9	419	113
10	444	113
11	455	113
12	457	113
13	451	113

Details

analyze1.3s (13.9%)

sample87.0ms (0.9%)

simplify308.0ms (3.3%)

prune1.0ms (0%)

localize10.0ms (0.1%)

rewrite173.0ms (1.9%)

series212.0ms (2.3%)

simplify132.0ms (1.4%)

prune135.0ms (1.5%)

localize5.0ms (0.1%)

rewrite57.0ms (0.6%)

series26.0ms (0.3%)

simplify104.0ms (1.1%)

prune42.0ms (0.5%)

localize5.0ms (0.1%)

rewrite55.0ms (0.6%)

series26.0ms (0.3%)

simplify113.0ms (1.2%)

prune25.0ms (0.3%)

localize19.0ms (0.2%)

rewrite244.0ms (2.7%)

series310.0ms (3.4%)

simplify191.0ms (2.1%)

prune170.0ms (1.8%)

regimes2.6s (27.8%)

bsearch5.0ms (0.1%)

simplify19.0ms (0.2%)

end2.0ms (0%)

sample2.9s (31.3%)

Profiling

Iter	Nodes	Cost
0	41	113
1	67	113
2	103	113
3	139	113
4	174	113
5	208	113
6	243	113
7	302	113
8	371	113
9	419	113
10	444	113
11	455	113
12	457	113
13	451	113