Details

analyze194.0ms (5.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

696×	`times-frac_binary64`
422×	`associate-/l/_binary64`
399×	`distribute-rgt-in_binary64`
368×	`unswap-sqr_binary64`
350×	`associate-/r/_binary64`
268×	`associate-*l/_binary64`
251×	`sub-neg_binary64`
232×	`distribute-neg-in_binary64`
216×	`distribute-lft-in_binary64`
200×	`prod-exp_binary64`
191×	`unsub-neg_binary64`
185×	`cancel-sign-sub-inv_binary64`
166×	`sqr-pow_binary64`
160×	`exp-prod_binary64`
153×	`*-rgt-identity_binary64`
137×	`associate--l+_binary64`
131×	`associate-r_binary64`
130×	`associate-/r*_binary64`
126×	`associate-/l*_binary64`
125×	`associate-+l-_binary64`
124×	`associate-l_binary64`
113×	`*-lft-identity_binary64`
84×	`neg-mul-1_binary64` `associate--l-_binary64`
80×	`remove-double-div_binary64` `associate-*r/_binary64`
76×	`unpow3_binary64`
74×	`cube-unmult_binary64`
72×	`pow-plus_binary64` `cube-prod_binary64` `/-rgt-identity_binary64` `pow-sqr_binary64`
71×	`+-commutative_binary64`
69×	`neg-sub0_binary64`
58×	`distribute-neg-out_binary64` `distribute-lft-neg-out_binary64`
56×	`associate--r+_binary64` `associate-+l+_binary64`
52×	`rem-sqrt-square_binary64`
48×	`div-sub_binary64` `*-commutative_binary64`
44×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
36×	`div-exp_binary64`
34×	`rec-exp_binary64`
32×	`distribute-rgt-neg-out_binary64`
31×	`associate--r-_binary64`
28×	`exp-sum_binary64` `cube-div_binary64`
27×	`distribute-lft-out--_binary64`
25×	`associate-+r+_binary64`
24×	`exp-sqrt_binary64` `distribute-rgt-out--_binary64`
20×	`distribute-frac-neg_binary64`
18×	`cube-mult_binary64`
16×	`exp-lft-sqr_binary64` `distribute-neg-frac_binary64`
14×	`exp-diff_binary64`
11×	`+-lft-identity_binary64`
10×	`+-rgt-identity_binary64`
9×	`remove-double-neg_binary64` `associate-+r-_binary64`
8×	`unpow2_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64`
7×	`cancel-sign-sub_binary64`
5×	`distribute-rgt-out_binary64`
4×	`log-prod_binary64` `unpow1/2_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out_binary64`
3×	`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` `log-rec_binary64` `log-div_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-cbrt_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-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div0_binary64` `*-inverses_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` `swap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	27	28
2	36	28
3	50	28
4	70	28
5	97	28
6	135	28
7	167	28
8	205	28
9	211	28
10	267	28
11	457	28
12	948	28
13	1570	28
14	2654	28
15	4356	28
16	4781	28
17	4658	28
18	4882	28
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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample27.0ms (0.8%)

Algorithm

1×

intervals

Results

12.0ms	237×	body	128	valid
2.0ms	9×	body	512	valid
2.0ms	6×	body	1024	valid
1.0ms	4×	body	256	valid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 19 to 19 computations (0% saved)

simplify129.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

373×	`swap-sqr_binary64`
365×	`div-exp_binary64`
348×	`times-frac_binary64`
325×	`distribute-rgt-in_binary64`
284×	`pow-sqr_binary64`
247×	`associate-/r*_binary64`
239×	`sqr-pow_binary64`
237×	`associate-/l*_binary64`
227×	`*-commutative_binary64`
225×	`sub-neg_binary64`
211×	`associate-/l/_binary64`
184×	`unswap-sqr_binary64`
175×	`associate-/r/_binary64`
155×	`distribute-lft-in_binary64`
152×	`exp-prod_binary64`
150×	`associate-*r/_binary64`
146×	`prod-exp_binary64`
139×	`unsub-neg_binary64`
136×	`distribute-neg-in_binary64`
128×	`associate-*l/_binary64`
117×	`neg-mul-1_binary64`
113×	`associate--r+_binary64`
106×	`cancel-sign-sub-inv_binary64` `distribute-neg-frac_binary64`
100×	`associate--r-_binary64`
98×	`neg-sub0_binary64`
96×	`div-sub_binary64`
91×	`cube-prod_binary64`
90×	`rem-sqrt-square_binary64`
89×	`*-rgt-identity_binary64`
84×	`unpow3_binary64`
80×	`distribute-rgt-neg-in_binary64`
79×	`*-lft-identity_binary64` `distribute-lft-neg-in_binary64` `associate-+l+_binary64`
73×	`associate-r_binary64`
71×	`distribute-rgt-neg-out_binary64`
70×	`associate-l_binary64` `associate--l+_binary64`
69×	`pow-plus_binary64`
67×	`associate-+l-_binary64`
60×	`+-commutative_binary64`
58×	`distribute-lft-neg-out_binary64`
50×	`cancel-sign-sub_binary64`
47×	`cube-div_binary64`
46×	`cube-mult_binary64` `distribute-rgt-out_binary64`
44×	`cube-unmult_binary64`
43×	`associate--l-_binary64`
40×	`remove-double-div_binary64` `distribute-neg-out_binary64`
32×	`associate-+r-_binary64`
28×	`exp-sum_binary64`
24×	`/-rgt-identity_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out--_binary64`
19×	`rec-exp_binary64`
17×	`+-rgt-identity_binary64` `distribute-lft-out--_binary64`
16×	`exp-sqrt_binary64` `exp-diff_binary64`
14×	`unpow2_binary64`
13×	`associate-+r+_binary64`
12×	`+-lft-identity_binary64` `distribute-lft-out_binary64`
10×	`exp-lft-sqr_binary64`
9×	`remove-double-neg_binary64` `distribute-rgt1-in_binary64`
8×	`--rgt-identity_binary64`
6×	`unpow1/2_binary64` `sub0-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
4×	`exp-neg_binary64` `mul-1-neg_binary64`
2×	`log-prod_binary64` `unpow1_binary64` `div0_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` `log-rec_binary64` `log-div_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-cbrt_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` `*-inverses_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`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	18	14
2	27	14
3	39	14
4	50	14
5	70	14
6	92	14
7	112	14
8	146	14
9	151	14
10	187	14
11	308	14
12	698	14
13	1206	14
14	1833	14
15	3012	14
16	3297	14
17	3531	14
18	4130	14
19	4679	14
20	4811	14

prune2.0ms (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

0.5b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.5b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite61.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

11×	`*-un-lft-identity_binary64`
8×	`log-prod_binary64`
6×	`add-log-exp_binary64`
5×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`pow1_binary64` `log-div_binary64` `add-exp-log_binary64` `associate--l+_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64`
2×	`associate--l-_binary64`
1×	`log-pow_binary64` `rem-log-exp_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

3 → 45

Calls

3 calls:

6.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
3.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 706 to 393 computations (44.3% saved)

series71.0ms (2.1%)

Error

0.4b

Counts

3 → 26

Calls

3 calls:

37.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
14.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
7.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 478 to 400 computations (16.3% saved)

simplify142.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

657×	`cancel-sign-sub-inv_binary64`
302×	`unswap-sqr_binary64`
300×	`unsub-neg_binary64`
292×	`distribute-rgt-in_binary64`
277×	`sub-neg_binary64`
266×	`*-commutative_binary64`
242×	`associate-+l+_binary64`
227×	`distribute-lft-in_binary64`
216×	`associate-+r+_binary64`
190×	`neg-mul-1_binary64`
179×	`associate-l_binary64`
168×	`neg-sub0_binary64`
157×	`associate-r_binary64`
137×	`distribute-rgt-neg-in_binary64`
129×	`distribute-lft-neg-in_binary64`
109×	`+-commutative_binary64`
108×	`associate--l+_binary64`
103×	`associate-+l-_binary64`
99×	`sqr-pow_binary64`
88×	`distribute-rgt-out_binary64`
84×	`times-frac_binary64`
69×	`exp-prod_binary64`
58×	`exp-sum_binary64`
55×	`associate--r+_binary64`
49×	`distribute-lft-out_binary64`
47×	`distribute-lft-neg-out_binary64`
41×	`sub0-neg_binary64` `distribute-rgt-neg-out_binary64`
35×	`difference-of-squares_binary64`
34×	`associate-+r-_binary64`
29×	`log-prod_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
27×	`cube-prod_binary64` `distribute-lft-out--_binary64`
25×	`+-rgt-identity_binary64` `distribute-rgt-out--_binary64`
23×	`unpow3_binary64` `pow-plus_binary64` `prod-exp_binary64`
21×	`exp-diff_binary64` `cube-unmult_binary64`
20×	`pow-sqr_binary64` `swap-sqr_binary64`
15×	`distribute-rgt1-in_binary64`
14×	`div-sub_binary64`
11×	`*-rgt-identity_binary64`
10×	`associate-/l*_binary64`
9×	`remove-double-neg_binary64`
8×	`-lft-identity_binary64` `associate-/r_binary64`
7×	`cube-mult_binary64` `sqr-neg_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`
6×	`cube-neg_binary64` `rem-sqrt-square_binary64`
5×	`mul-1-neg_binary64`
4×	`--rgt-identity_binary64` `distribute-neg-in_binary64` `count-2_binary64`
3×	`unpow1/2_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `associate-*r/_binary64`
2×	`exp-to-pow_binary64` `unpow1_binary64` `rem-exp-log_binary64` `difference-of-sqr--1_binary64` `associate-*l/_binary64` `associate--r-_binary64`
1×	`unpow2_binary64` `exp-lft-sqr_binary64` `div-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_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` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`

Counts

71 → 49

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	1023
1	241	974
2	562	952
3	1450	946
4	3310	946
5	4700	946
6	4987	946
7	4999	946
8	4869	946

prune47.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	5	50

Error

0.4b

Counts

50 → 5

Compiler

Compiled 729 to 440 computations (39.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) 1)
0.0b	(-.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) (*.f64 x y))
1.2b	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
1.2b	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))

rewrite105.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

14×	`log-prod_binary64` `*-un-lft-identity_binary64`
9×	`add-log-exp_binary64`
8×	`pow1_binary64` `sqrt-div_binary64` `log-div_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`log-pow_binary64` `add-exp-log_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-cbrt-cube_binary64` `associate--l-_binary64`
3×	`distribute-lft-out_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-log-exp_binary64` `sum-log_binary64` `diff-log_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64` `associate--l+_binary64` `+-commutative_binary64`

Counts

4 → 70

Calls

4 calls:

13.0ms	(-.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) (*.f64 x y))
7.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
5.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
4.0ms	(+.f64 (exp.f64 x) 1)

Compiler

Compiled 1660 to 1050 computations (36.7% saved)

series137.0ms (4%)

Error

0.4b

Counts

4 → 32

Calls

4 calls:

54.0ms	(-.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) (*.f64 x y))
24.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
23.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
9.0ms	(+.f64 (exp.f64 x) 1)

Compiler

Compiled 1440 to 1236 computations (14.2% saved)

simplify121.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

344×	`associate-+l+_binary64`
297×	`sub-neg_binary64`
295×	`associate-l_binary64`
287×	`associate-r_binary64`
234×	`associate--l+_binary64`
222×	`associate-+r+_binary64`
198×	`+-commutative_binary64`
170×	`cancel-sign-sub-inv_binary64`
158×	`associate-/l*_binary64`
149×	`distribute-rgt-in_binary64`
132×	`times-frac_binary64`
129×	`distribute-lft-in_binary64`
123×	`*-commutative_binary64`
115×	`prod-exp_binary64`
114×	`unsub-neg_binary64`
105×	`unswap-sqr_binary64`
91×	`associate-/r*_binary64`
89×	`associate--r+_binary64`
74×	`distribute-rgt-neg-in_binary64`
69×	`sqr-pow_binary64`
68×	`associate-*l/_binary64`
65×	`distribute-lft-neg-in_binary64`
60×	`neg-sub0_binary64`
59×	`associate-*r/_binary64`
56×	`exp-prod_binary64` `neg-mul-1_binary64`
48×	`div-sub_binary64`
38×	`distribute-rgt-out_binary64` `associate-+r-_binary64`
37×	`associate-+l-_binary64`
28×	`cube-prod_binary64` `+-rgt-identity_binary64`
27×	`exp-sum_binary64` `distribute-neg-frac_binary64`
22×	`associate-/r/_binary64`
21×	`cube-unmult_binary64`
20×	`distribute-lft-out_binary64`
18×	`unpow3_binary64`
17×	`log-prod_binary64` `distribute-neg-in_binary64` `associate-/l/_binary64`
16×	`sub0-neg_binary64`
13×	`exp-diff_binary64`
12×	`pow-sqr_binary64` `difference-of-squares_binary64`
11×	`distribute-lft-neg-out_binary64`
10×	`cube-mult_binary64`
9×	`count-2_binary64`
8×	`pow-plus_binary64` `rem-sqrt-square_binary64` `*-rgt-identity_binary64`
7×	`log-pow_binary64` `swap-sqr_binary64`
6×	`*-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt1-in_binary64` `associate--l-_binary64`
5×	`unpow1/2_binary64` `div-exp_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `distribute-rgt-out--_binary64`
4×	`exp-to-pow_binary64` `cube-div_binary64` `cube-neg_binary64`
3×	`unpow1_binary64` `remove-double-neg_binary64` `distribute-rgt-neg-out_binary64`
2×	`unpow2_binary64` `rem-exp-log_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `/-rgt-identity_binary64` `difference-of-sqr-1_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` `log-rec_binary64` `log-div_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-neg_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` `+-lft-identity_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-lft-out--_binary64`

Counts

102 → 61

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	2124
1	382	1728
2	1132	1622
3	4169	1622
4	4800	1622
5	4965	1622

prune54.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	61	5	66

Error

0.4b

Counts

66 → 5

Compiler

Compiled 1183 to 761 computations (35.7% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (*.f64 x y)))
1.2b	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
1.2b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite116.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

28×	`log-prod_binary64`
25×	`*-un-lft-identity_binary64`
16×	`sqrt-prod_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64` `associate-+r+_binary64`
8×	`add-log-exp_binary64`
7×	`log-pow_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `associate--l+_binary64`
6×	`sqrt-div_binary64` `log-div_binary64` `add-exp-log_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-cbrt-cube_binary64`
3×	`sum-log_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-log-exp_binary64` `associate-+l-_binary64` `+-commutative_binary64`
1×	`diff-log_binary64` `associate-+r-_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 85

Calls

4 calls:

14.0ms	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (*.f64 x y)))
5.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
3.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 1872 to 1193 computations (36.3% saved)

series137.0ms (4%)

Error

0.4b

Counts

4 → 32

Calls

4 calls:

52.0ms	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (*.f64 x y)))
26.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
23.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
12.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 1457 to 1246 computations (14.5% saved)

simplify131.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

359×	`associate-+l+_binary64`
339×	`sub-neg_binary64`
235×	`associate--l+_binary64`
218×	`associate-+r+_binary64`
201×	`+-commutative_binary64`
195×	`associate-r_binary64`
181×	`distribute-neg-frac_binary64`
165×	`associate-l_binary64`
158×	`associate-/l*_binary64`
157×	`unsub-neg_binary64`
152×	`distribute-rgt-in_binary64`
139×	`cancel-sign-sub-inv_binary64`
130×	`times-frac_binary64`
127×	`distribute-lft-in_binary64`
102×	`*-commutative_binary64`
101×	`associate--r+_binary64`
95×	`div-sub_binary64`
91×	`associate-/r*_binary64`
73×	`distribute-rgt-neg-out_binary64`
69×	`associate-*l/_binary64`
66×	`neg-sub0_binary64` `distribute-neg-in_binary64`
63×	`exp-prod_binary64`
61×	`cancel-sign-sub_binary64`
60×	`sqr-pow_binary64` `associate-*r/_binary64`
55×	`neg-mul-1_binary64`
53×	`unswap-sqr_binary64`
51×	`associate-+r-_binary64`
50×	`prod-exp_binary64`
49×	`associate-+l-_binary64`
46×	`distribute-rgt-neg-in_binary64`
40×	`exp-sum_binary64`
35×	`distribute-lft-neg-in_binary64`
32×	`+-rgt-identity_binary64`
22×	`exp-diff_binary64`
21×	`associate-/r/_binary64`
19×	`cube-prod_binary64`
18×	`cube-unmult_binary64`
17×	`distribute-lft-neg-out_binary64` `associate-/l/_binary64`
16×	`sub0-neg_binary64`
15×	`log-prod_binary64` `unpow3_binary64` `distribute-rgt-out_binary64`
13×	`swap-sqr_binary64`
10×	`pow-sqr_binary64` `distribute-lft-out_binary64`
8×	`rem-sqrt-square_binary64` `distribute-rgt-out--_binary64` `associate--l-_binary64`
7×	`pow-plus_binary64` `cube-mult_binary64` `sqr-neg_binary64` `distribute-rgt1-in_binary64`
6×	`mul-1-neg_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `distribute-neg-out_binary64` `associate--r-_binary64`
5×	`remove-double-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
4×	`log-pow_binary64` `unpow1/2_binary64` `cube-div_binary64` `difference-of-squares_binary64`
3×	`exp-to-pow_binary64` `unpow1_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `count-2_binary64`
2×	`unpow2_binary64` `div-exp_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64`
1×	`exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `/-rgt-identity_binary64` `+-inverses_binary64` `difference-of-sqr-1_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` `log-rec_binary64` `log-div_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` `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` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64`

Counts

117 → 87

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	192	2574
1	422	2168
2	1047	1906
3	3845	1901
4	4778	1901
5	4959	1901

prune74.0ms (2.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	86	6	92

Error

0.4b

Counts

92 → 6

Compiler

Compiled 1516 to 978 computations (35.5% saved)

localize20.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.2b	(sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
1.0b	(log.f64 (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
1.0b	(log.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
1.2b	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))

rewrite141.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

38×	`sqrt-prod_binary64`
27×	`log-prod_binary64`
22×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64`
14×	`pow1_binary64` `sqrt-div_binary64` `add-cube-cbrt_binary64`
13×	`log-pow_binary64` `sqrt-pow1_binary64`
7×	`pow1/2_binary64` `add-exp-log_binary64`
6×	`log-div_binary64`
4×	`flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`rem-log-exp_binary64`
2×	`rem-sqrt-square_binary64`

Counts

4 → 92

Calls

4 calls:

6.0ms	(log.f64 (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
5.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
5.0ms	(log.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
4.0ms	(sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

Compiler

Compiled 2530 to 1735 computations (31.4% saved)

series137.0ms (4%)

Error

0.4b

Counts

4 → 24

Calls

4 calls:

30.0ms	(log.f64 (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
28.0ms	(log.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
27.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
21.0ms	(sqrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

Compiler

Compiled 1787 to 1463 computations (18.1% saved)

simplify167.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

900×	`times-frac_binary64`
300×	`associate-r_binary64`
262×	`associate-l_binary64`
240×	`associate-+l+_binary64`
211×	`unswap-sqr_binary64`
184×	`sub-neg_binary64`
167×	`cancel-sign-sub-inv_binary64`
155×	`associate--l+_binary64`
150×	`*-commutative_binary64`
126×	`+-commutative_binary64`
120×	`associate-+r+_binary64`
90×	`associate-/l*_binary64`
85×	`unsub-neg_binary64`
80×	`sqr-pow_binary64`
70×	`associate-/r*_binary64`
66×	`neg-mul-1_binary64`
60×	`neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
52×	`distribute-lft-neg-in_binary64`
51×	`distribute-rgt-out_binary64`
40×	`associate-l/_binary64` `associate-r/_binary64`
35×	`log-prod_binary64`
26×	`associate--r+_binary64`
24×	`associate-+r-_binary64`
21×	`associate-+l-_binary64`
20×	`cube-prod_binary64`
19×	`log-pow_binary64`
18×	`unpow3_binary64` `cube-unmult_binary64` `+-rgt-identity_binary64`
17×	`associate-/r/_binary64`
14×	`pow-sqr_binary64` `distribute-neg-frac_binary64` `distribute-rgt-in_binary64`
13×	`distribute-lft-out_binary64`
10×	`exp-prod_binary64`
9×	`pow-plus_binary64`
8×	`associate-/l/_binary64`
7×	`rem-sqrt-square_binary64` `sub0-neg_binary64` `distribute-rgt1-in_binary64`
6×	`distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-in_binary64` `count-2_binary64`
5×	`prod-exp_binary64` `cube-mult_binary64` `cube-div_binary64` `div-sub_binary64`
4×	`distribute-lft-neg-out_binary64`
3×	`rem-exp-log_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `swap-sqr_binary64` `distribute-lft1-in_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64`
1×	`exp-to-pow_binary64` `1-exp_binary64` `rem-log-exp_binary64` `mul-1-neg_binary64` `div0_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` `log-E_binary64` `log-rec_binary64` `log-div_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` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_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` `/-rgt-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-rgt-neg-out_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

116 → 69

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	2220
1	345	2051
2	879	1961
3	3055	1961
4	4966	1961
5	4807	1961
6	4928	1961

prune79.0ms (2.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	69	6	75

Error

0.4b

Counts

75 → 6

Compiler

Compiled 1891 to 1317 computations (30.4% saved)

regimes364.0ms (10.6%)

Accuracy

Total 0.3b remaining (59.1%)

Threshold costs 0.3b (59.1%)

Compiler

Compiled 1714 to 1491 computations (13% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`sub-neg_binary64` `*-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
1×	`1-exp_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `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_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	18	14
2	27	14
3	33	14
4	37	14
5	38	14
6	37	14

end1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

sample948.0ms (27.5%)

Algorithm

1×

intervals

Results

355.0ms	7410×	body	128	valid
77.0ms	200×	body	1024	valid
55.0ms	249×	body	512	valid
22.0ms	140×	body	256	valid
3.0ms	51×	body	128	invalid
1.0ms	1×	body	2048	valid
0.0ms	7×	body	128	overflowed

Compiler

Compiled 137 to 124 computations (9.5% saved)

Details

analyze194.0ms (5.6%)

sample27.0ms (0.8%)

simplify129.0ms (3.7%)

prune2.0ms (0%)

localize11.0ms (0.3%)

rewrite61.0ms (1.8%)

series71.0ms (2.1%)

simplify142.0ms (4.1%)

prune47.0ms (1.4%)

localize10.0ms (0.3%)

rewrite105.0ms (3.1%)

series137.0ms (4%)

simplify121.0ms (3.5%)

prune54.0ms (1.6%)

localize16.0ms (0.5%)

rewrite116.0ms (3.4%)

series137.0ms (4%)

simplify131.0ms (3.8%)

prune74.0ms (2.1%)

localize20.0ms (0.6%)

rewrite141.0ms (4.1%)

series137.0ms (4%)

simplify167.0ms (4.9%)

prune79.0ms (2.3%)

regimes364.0ms (10.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample948.0ms (27.5%)

Profiling