Details

analyze75.0ms (2.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

725×	`div-sub_binary64`
524×	`cancel-sign-sub-inv_binary64`
510×	`associate-/l*_binary64`
425×	`times-frac_binary64`
418×	`associate-/r/_binary64`
330×	`distribute-neg-frac_binary64`
319×	`associate-/l/_binary64`
252×	`unswap-sqr_binary64`
225×	`associate-r_binary64`
211×	`*-commutative_binary64`
201×	`associate-l_binary64`
154×	`associate-/r*_binary64`
102×	`distribute-rgt-neg-in_binary64`
94×	`distribute-lft-neg-in_binary64`
81×	`neg-mul-1_binary64`
79×	`neg-sub0_binary64`
58×	`associate-*l/_binary64`
57×	`distribute-rgt-in_binary64`
55×	`associate-*r/_binary64`
54×	`sub-neg_binary64`
41×	`*-lft-identity_binary64`
35×	`sqr-pow_binary64`
34×	`unsub-neg_binary64`
32×	`*-rgt-identity_binary64`
30×	`distribute-lft-in_binary64`
28×	`+-lft-identity_binary64` `distribute-rgt-neg-out_binary64`
25×	`cube-prod_binary64` `distribute-lft-neg-out_binary64`
21×	`exp-prod_binary64`
17×	`remove-double-neg_binary64`
16×	`remove-double-div_binary64` `pow-sqr_binary64` `swap-sqr_binary64`
15×	`pow-plus_binary64` `+-commutative_binary64`
14×	`exp-sum_binary64` `/-rgt-identity_binary64` `mul0-rgt_binary64`
13×	`div0_binary64`
12×	`associate--r+_binary64`
10×	`sqr-neg_binary64`
9×	`cube-unmult_binary64` `mul0-lft_binary64` `distribute-frac-neg_binary64` `associate-+l-_binary64`
8×	`sub0-neg_binary64`
7×	`exp-sqrt_binary64`
6×	`exp-diff_binary64` `distribute-neg-in_binary64` `associate-+l+_binary64`
5×	`unpow3_binary64`
4×	`exp-lft-sqr_binary64`
3×	`unpow2_binary64` `cube-neg_binary64` `--rgt-identity_binary64` `associate--r-_binary64`
2×	`rec-exp_binary64` `cube-mult_binary64` `+-rgt-identity_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`unpow1_binary64` `prod-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `mul-1-neg_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` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	33	13
3	56	13
4	105	13
5	206	13
6	467	13
7	1187	13
8	2763	13
9	4552	13
10	5268	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample58.0ms (2%)

Algorithm

1×

intervals

Results

37.0ms	137×	body	1024	valid
7.0ms	58×	body	512	valid
3.0ms	10×	body	2048	valid
2.0ms	28×	body	256	valid
1.0ms	23×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify62.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

725×	`div-sub_binary64`
524×	`cancel-sign-sub-inv_binary64`
510×	`associate-/l*_binary64`
425×	`times-frac_binary64`
418×	`associate-/r/_binary64`
330×	`distribute-neg-frac_binary64`
319×	`associate-/l/_binary64`
252×	`unswap-sqr_binary64`
225×	`associate-r_binary64`
211×	`*-commutative_binary64`
201×	`associate-l_binary64`
154×	`associate-/r*_binary64`
102×	`distribute-rgt-neg-in_binary64`
94×	`distribute-lft-neg-in_binary64`
81×	`neg-mul-1_binary64`
79×	`neg-sub0_binary64`
58×	`associate-*l/_binary64`
57×	`distribute-rgt-in_binary64`
55×	`associate-*r/_binary64`
54×	`sub-neg_binary64`
41×	`*-lft-identity_binary64`
35×	`sqr-pow_binary64`
34×	`unsub-neg_binary64`
32×	`*-rgt-identity_binary64`
30×	`distribute-lft-in_binary64`
28×	`+-lft-identity_binary64` `distribute-rgt-neg-out_binary64`
25×	`cube-prod_binary64` `distribute-lft-neg-out_binary64`
21×	`exp-prod_binary64`
17×	`remove-double-neg_binary64`
16×	`remove-double-div_binary64` `pow-sqr_binary64` `swap-sqr_binary64`
15×	`pow-plus_binary64` `+-commutative_binary64`
14×	`exp-sum_binary64` `/-rgt-identity_binary64` `mul0-rgt_binary64`
13×	`div0_binary64`
12×	`associate--r+_binary64`
10×	`sqr-neg_binary64`
9×	`cube-unmult_binary64` `mul0-lft_binary64` `distribute-frac-neg_binary64` `associate-+l-_binary64`
8×	`sub0-neg_binary64`
7×	`exp-sqrt_binary64`
6×	`exp-diff_binary64` `distribute-neg-in_binary64` `associate-+l+_binary64`
5×	`unpow3_binary64`
4×	`exp-lft-sqr_binary64`
3×	`unpow2_binary64` `cube-neg_binary64` `--rgt-identity_binary64` `associate--r-_binary64`
2×	`rec-exp_binary64` `cube-mult_binary64` `+-rgt-identity_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`unpow1_binary64` `prod-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `mul-1-neg_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` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	33	13
3	56	13
4	105	13
5	206	13
6	467	13
7	1187	13
8	2763	13
9	4552	13
10	5268	13

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

57.9b

Counts

1 → 1

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.8b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

4×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
3×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64`
2×	`add-cube-cbrt_binary64`
1×	`sinh-undef_binary64` `diff-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

1 → 17

Calls

1 calls:

5.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 251 to 93 computations (62.9% saved)

series16.0ms (0.5%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

8.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 163 to 139 computations (14.7% saved)

simplify91.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

440×	`neg-mul-1_binary64`
341×	`unsub-neg_binary64`
327×	`unswap-sqr_binary64`
240×	`div-sub_binary64`
239×	`times-frac_binary64`
237×	`distribute-rgt-in_binary64`
220×	`cancel-sign-sub-inv_binary64`
199×	`distribute-lft-in_binary64`
189×	`*-commutative_binary64`
186×	`distribute-lft-neg-out_binary64`
184×	`distribute-rgt-neg-out_binary64`
129×	`exp-prod_binary64`
114×	`associate-+l+_binary64`
113×	`sqr-pow_binary64`
99×	`associate-l_binary64`
95×	`associate-r_binary64`
92×	`associate-+r+_binary64`
83×	`distribute-neg-in_binary64`
82×	`associate-/l*_binary64`
81×	`difference-of-squares_binary64`
73×	`distribute-neg-frac_binary64`
71×	`neg-sub0_binary64`
65×	`sub-neg_binary64`
64×	`exp-sum_binary64`
63×	`cube-prod_binary64`
57×	`+-commutative_binary64`
54×	`associate-/r_binary64` `associate-l/_binary64`
51×	`distribute-neg-out_binary64`
42×	`associate-*r/_binary64`
38×	`sqr-neg_binary64`
36×	`mul0-lft_binary64`
35×	`mul0-rgt_binary64`
34×	`exp-diff_binary64`
31×	`cube-unmult_binary64`
30×	`distribute-lft-neg-in_binary64`
28×	`log-prod_binary64` `distribute-frac-neg_binary64`
26×	`/-rgt-identity_binary64` `pow-sqr_binary64`
25×	`cube-neg_binary64` `distribute-rgt-neg-in_binary64`
22×	`exp-neg_binary64`
21×	`pow-plus_binary64` `swap-sqr_binary64`
19×	`prod-exp_binary64`
18×	`unpow3_binary64` `associate-+r-_binary64`
17×	`*-rgt-identity_binary64`
14×	`associate-+l-_binary64`
13×	`*-lft-identity_binary64` `+-rgt-identity_binary64`
12×	`sub0-neg_binary64`
11×	`difference-of-sqr--1_binary64` `associate--r+_binary64`
9×	`cube-div_binary64`
8×	`rem-sqrt-square_binary64` `+-lft-identity_binary64` `associate-/r/_binary64`
7×	`div-exp_binary64` `mul-1-neg_binary64`
5×	`rec-exp_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64` `associate--l+_binary64`
4×	`log-div_binary64` `unpow1/2_binary64` `distribute-lft-out_binary64`
3×	`cube-mult_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate--r-_binary64`
2×	`unpow1_binary64` `distribute-rgt-out--_binary64` `count-2_binary64`
1×	`sinh-def_binary64` `unpow2_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `lft-mult-inverse_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` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64`

Counts

23 → 13

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	360
1	146	323
2	324	321
3	912	321
4	2354	321
5	4213	321
6	4983	321
7	4836	321

prune12.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	3	14

Error

Counts

14 → 3

Compiler

Compiled 175 to 115 computations (34.3% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5))))
0.0b	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
0.0b	(*.f64 1/60 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite125.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
18×	`add-log-exp_binary64`
16×	`*-un-lft-identity_binary64`
14×	`add-exp-log_binary64`
11×	`add-cube-cbrt_binary64`
9×	`sum-log_binary64`
8×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`prod-exp_binary64` `associate-l_binary64` `flip3-+_binary64` `flip-+_binary64`
4×	`pow1_binary64` `cube-prod_binary64` `sqr-pow_binary64` `frac-add_binary64`
3×	`distribute-lft-out_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64` `+-commutative_binary64`
1×	`unpow3_binary64` `cube-mult_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

4 → 89

Calls

4 calls:

12.0ms	(+.f64 (+.f64 x x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5))))
6.0ms	(*.f64 1/3 (pow.f64 x 3))
6.0ms	(*.f64 1/60 (pow.f64 x 5))
5.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))

Compiler

Compiled 2290 to 1676 computations (26.8% saved)

series78.0ms (2.7%)

Error

Counts

4 → 21

Calls

4 calls:

32.0ms	(+.f64 (+.f64 x x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5))))
20.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
11.0ms	(*.f64 1/3 (pow.f64 x 3))
10.0ms	(*.f64 1/60 (pow.f64 x 5))

Compiler

Compiled 589 to 494 computations (16.1% saved)

simplify122.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

601×	`distribute-rgt-in_binary64`
542×	`distribute-lft-in_binary64`
221×	`cancel-sign-sub-inv_binary64`
183×	`associate-+l+_binary64`
172×	`associate-r_binary64`
168×	`associate-l_binary64`
166×	`associate-+r+_binary64`
107×	`distribute-rgt-neg-in_binary64`
100×	`unswap-sqr_binary64` `*-commutative_binary64`
99×	`distribute-lft-neg-in_binary64`
83×	`exp-prod_binary64`
81×	`log-prod_binary64`
79×	`distribute-rgt-out_binary64`
78×	`cube-prod_binary64`
50×	`sqr-pow_binary64`
48×	`associate--r+_binary64`
47×	`sub-neg_binary64`
37×	`+-commutative_binary64`
35×	`exp-sum_binary64`
32×	`associate--l+_binary64`
28×	`unpow3_binary64`
26×	`associate-+r-_binary64`
25×	`associate-+l-_binary64`
24×	`swap-sqr_binary64`
23×	`log-pow_binary64`
22×	`mul0-rgt_binary64`
21×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-neg-in_binary64` `distribute-lft-neg-out_binary64`
20×	`distribute-lft-out_binary64`
19×	`distribute-rgt-out--_binary64` `count-2_binary64`
16×	`cube-mult_binary64`
15×	`mul0-lft_binary64`
12×	`distribute-rgt-neg-out_binary64`
10×	`pow-plus_binary64`
9×	`prod-exp_binary64` `cube-unmult_binary64` `pow-sqr_binary64`
8×	`associate-/l*_binary64`
7×	`unsub-neg_binary64`
4×	`rem-sqrt-square_binary64` `distribute-lft-out--_binary64`
3×	`exp-diff_binary64` `difference-of-squares_binary64`
2×	`+-inverses_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64`
1×	`unpow1/3_binary64` `unpow1_binary64` `1-exp_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_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` `unpow2_binary64` `unpow1/2_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` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_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` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--l-_binary64`

Counts

110 → 59

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	2080
1	425	1728
2	1415	1727
3	4747	1727
4	4993	1727
5	4867	1727

prune43.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	59	3	62

Error

Counts

62 → 3

Compiler

Compiled 997 to 732 computations (26.6% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (exp.f64 x) -3)
0.1b	(pow.f64 (exp.f64 x) 3)
0.1b	(pow.f64 (exp.f64 x) 2)
5.7b	(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))

rewrite106.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`add-sqr-sqrt_binary64`
19×	`unpow-prod-down_binary64`
18×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
12×	`difference-of-squares_binary64` `pow-pow_binary64`
11×	`sqr-pow_binary64`
9×	`pow-unpow_binary64` `exp-prod_binary64`
7×	`pow1_binary64` `cancel-sign-sub-inv_binary64`
6×	`add-log-exp_binary64` `cube-prod_binary64`
5×	`add-cbrt-cube_binary64`
4×	`add-exp-log_binary64`
3×	`pow-to-exp_binary64` `pow-exp_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `unpow2_binary64` `unpow3_binary64` `cube-mult_binary64` `rem-cube-cbrt_binary64`

Counts

4 → 98

Calls

4 calls:

10.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))
3.0ms	(pow.f64 (exp.f64 x) 2)
3.0ms	(pow.f64 (exp.f64 x) 3)
3.0ms	(pow.f64 (exp.f64 x) -3)

Compiler

Compiled 2699 to 1774 computations (34.3% saved)

series77.0ms (2.7%)

Error

Counts

4 → 23

Calls

4 calls:

21.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3))
14.0ms	(pow.f64 (exp.f64 x) -3)
12.0ms	(pow.f64 (exp.f64 x) 2)
12.0ms	(pow.f64 (exp.f64 x) 3)

Compiler

Compiled 1265 to 963 computations (23.9% saved)

simplify115.0ms (4%)

Algorithm

1×	egg-herbie

Rules

501×	`unswap-sqr_binary64`
425×	`log-prod_binary64`
284×	`exp-prod_binary64`
242×	`sqr-pow_binary64`
204×	`*-commutative_binary64`
191×	`cube-prod_binary64`
153×	`sub-neg_binary64`
128×	`associate-+l+_binary64`
126×	`exp-sum_binary64`
106×	`distribute-rgt-in_binary64`
98×	`associate-+r+_binary64`
96×	`distribute-lft-in_binary64`
95×	`log-pow_binary64`
90×	`+-commutative_binary64`
87×	`associate-/r*_binary64`
83×	`pow-sqr_binary64`
82×	`cancel-sign-sub-inv_binary64`
62×	`associate-r_binary64`
61×	`associate-l_binary64`
57×	`neg-mul-1_binary64`
56×	`unsub-neg_binary64`
54×	`neg-sub0_binary64`
43×	`distribute-rgt-out_binary64`
40×	`distribute-rgt-neg-in_binary64`
39×	`log-div_binary64`
36×	`times-frac_binary64`
35×	`unpow3_binary64` `distribute-lft-neg-in_binary64`
34×	`pow-plus_binary64` `prod-exp_binary64`
33×	`rem-sqrt-square_binary64`
31×	`difference-of-squares_binary64`
27×	`cube-unmult_binary64` `distribute-lft-out_binary64`
24×	`cube-mult_binary64` `associate--r+_binary64`
19×	`associate-+l-_binary64`
18×	`swap-sqr_binary64`
17×	`associate-+r-_binary64`
15×	`distribute-lft-neg-out_binary64`
13×	`sub0-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate--l+_binary64`
12×	`associate-*r/_binary64`
11×	`exp-diff_binary64`
9×	`+-rgt-identity_binary64` `distribute-neg-in_binary64` `associate-/l/_binary64`
8×	`distribute-rgt-neg-out_binary64`
7×	`rem-exp-log_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
4×	`div-exp_binary64` `rec-exp_binary64` `*-rgt-identity_binary64` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64` `count-2_binary64`
3×	`exp-lft-cube_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
2×	`exp-to-pow_binary64` `rem-cbrt-cube_binary64` `rem-square-sqrt_binary64` `distribute-rgt-out--_binary64`
1×	`log-E_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `*-lft-identity_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-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

121 → 79

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	1594
1	379	1476
2	959	1401
3	3179	1401
4	4818	1401
5	5095	1401

prune41.0ms (1.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	79	3	82

Error

Counts

82 → 3

Compiler

Compiled 1367 to 893 computations (34.7% saved)

regimes65.0ms (2.2%)

Accuracy

Total -0.0b remaining (-6.2%)

Threshold costs -0.0b (-6.2%)

Compiler

Compiled 464 to 409 computations (11.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1× *-commutative_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 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 +-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	7	9
2	7	9

end1.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

sample1.8s (60.9%)

Algorithm

1×

intervals

Results

973.0ms	3973×	body	1024	valid
259.0ms	1986×	body	512	valid
104.0ms	379×	body	2048	valid
77.0ms	1012×	body	256	valid
27.0ms	650×	body	128	valid

Compiler

Compiled 66 to 59 computations (10.6% saved)

Details

analyze75.0ms (2.6%)

sample58.0ms (2%)

simplify62.0ms (2.2%)

prune1.0ms (0%)

localize5.0ms (0.2%)

rewrite15.0ms (0.5%)

series16.0ms (0.5%)

simplify91.0ms (3.1%)

prune12.0ms (0.4%)

localize10.0ms (0.4%)

rewrite125.0ms (4.3%)

series78.0ms (2.7%)

simplify122.0ms (4.2%)

prune43.0ms (1.5%)

localize13.0ms (0.4%)

rewrite106.0ms (3.7%)

series77.0ms (2.7%)

simplify115.0ms (4%)

prune41.0ms (1.4%)

regimes65.0ms (2.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.8s (60.9%)

Profiling