Details

analyze81.0ms (3.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

26×	`associate-l_binary64`
21×	`associate-r_binary64`
11×	`*-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` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `1-exp_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` `div-sub_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` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_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` `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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	20	20
2	43	20
3	56	20
4	54	20
5	54	20
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
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

15×	`associate-l_binary64`
13×	`associate-r_binary64`
8×	`*-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` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `1-exp_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` `div-sub_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` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_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` `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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64` `+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	25	10
3	37	10
4	35	10
5	35	10

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

11.2b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 x 3) x)
10.8b	(.f64 (.f64 (*.f64 x 3) x) y)

rewrite50.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
6×	`associate-r_binary64`
4×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
2×	`add-log-exp_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

2 → 39

Calls

2 calls:

7.0ms	(.f64 (.f64 (*.f64 x 3) x) y)
5.0ms	(.f64 (.f64 x 3) x)

Compiler

Compiled 458 to 274 computations (40.2% saved)

series28.0ms (1.3%)

Error

11.1b

Counts

2 → 9

Calls

2 calls:

17.0ms	(.f64 (.f64 (*.f64 x 3) x) y)
7.0ms	(.f64 (.f64 x 3) x)

Compiler

Compiled 140 to 138 computations (1.4% saved)

simplify81.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

429×	`associate-*r/_binary64`
365×	`associate-*l/_binary64`
337×	`*-commutative_binary64`
270×	`associate-/l*_binary64`
244×	`associate-/l/_binary64`
231×	`sqr-pow_binary64`
228×	`unswap-sqr_binary64`
225×	`log-div_binary64`
205×	`associate-/r/_binary64`
194×	`associate-l_binary64`
118×	`associate-r_binary64`
100×	`distribute-rgt-in_binary64`
98×	`pow-sqr_binary64`
94×	`distribute-lft-in_binary64` `associate-/r*_binary64`
72×	`associate-+l+_binary64`
68×	`cube-prod_binary64`
63×	`+-commutative_binary64`
61×	`swap-sqr_binary64`
59×	`exp-prod_binary64`
57×	`associate-+r+_binary64`
55×	`log-prod_binary64`
40×	`times-frac_binary64`
36×	`rem-sqrt-square_binary64`
35×	`distribute-rgt-out_binary64`
19×	`*-lft-identity_binary64`
17×	`unpow3_binary64`
15×	`*-rgt-identity_binary64`
14×	`distribute-lft-out_binary64`
11×	`pow-plus_binary64`
10×	`prod-exp_binary64` `cube-mult_binary64`
9×	`log-pow_binary64` `unpow1/2_binary64` `cube-unmult_binary64`
8×	`distribute-rgt1-in_binary64` `count-2_binary64`
7×	`log-rec_binary64`
5×	`exp-lft-cube_binary64` `cube-div_binary64`
3×	`distribute-lft1-in_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `1-exp_binary64` `exp-1-e_binary64` `/-rgt-identity_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-cbrt_binary64` `div-exp_binary64` `rec-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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

48 → 40

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	591
1	156	483
2	579	474
3	864	472
4	1293	472
5	1985	472
6	4745	472
7	5053	472

prune25.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	35	5	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	6	41

Error

11.1b

Counts

41 → 6

Compiler

Compiled 302 to 167 computations (44.7% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 3 (.f64 (*.f64 x x) y))
10.8b	(.f64 (.f64 x x) y)

rewrite47.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-l_binary64` `associate-r*_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

2 → 40

Calls

2 calls:

7.0ms	(.f64 3 (.f64 (*.f64 x x) y))
6.0ms	(.f64 (.f64 x x) y)

Compiler

Compiled 460 to 183 computations (60.2% saved)

series36.0ms (1.6%)

Error

11.1b

Counts

2 → 12

Calls

2 calls:

18.0ms	(.f64 (.f64 x x) y)
17.0ms	(.f64 3 (.f64 (*.f64 x x) y))

Compiler

Compiled 175 to 175 computations (0% saved)

simplify85.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

458×	`unswap-sqr_binary64`
374×	`associate-+l+_binary64`
287×	`*-commutative_binary64`
275×	`associate-*l/_binary64`
262×	`distribute-rgt-in_binary64`
237×	`distribute-lft-in_binary64`
236×	`sqr-pow_binary64`
235×	`log-div_binary64`
226×	`associate-/l/_binary64`
214×	`associate-/l*_binary64`
203×	`associate-/r/_binary64`
196×	`associate-+r+_binary64`
119×	`pow-sqr_binary64`
114×	`associate-l_binary64`
106×	`associate-r_binary64`
78×	`cube-prod_binary64`
59×	`associate-/r*_binary64`
57×	`distribute-rgt-out_binary64`
53×	`exp-prod_binary64` `times-frac_binary64`
47×	`log-prod_binary64`
45×	`distribute-lft-out_binary64`
38×	`swap-sqr_binary64` `associate-*r/_binary64`
36×	`+-commutative_binary64`
32×	`unpow3_binary64`
25×	`rem-sqrt-square_binary64`
22×	`cube-mult_binary64`
17×	`*-rgt-identity_binary64`
16×	`*-lft-identity_binary64`
15×	`pow-plus_binary64`
14×	`cube-unmult_binary64` `distribute-rgt1-in_binary64`
8×	`prod-exp_binary64` `cube-div_binary64` `count-2_binary64`
6×	`unpow1/2_binary64` `distribute-lft1-in_binary64`
5×	`log-pow_binary64` `exp-lft-cube_binary64`
4×	`log-rec_binary64`
3×	`/-rgt-identity_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

52 → 37

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	634
1	138	517
2	474	517
3	785	517
4	1202	517
5	2539	517
6	4873	517
7	5159	517

prune22.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	37	6	43

Error

7.2b

Counts

43 → 6

Compiler

Compiled 215 to 120 computations (44.2% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 (*.f64 x x) y) (cbrt.f64 3)))
0.3b	(.f64 (.f64 (*.f64 x x) y) (cbrt.f64 3))
10.8b	(.f64 (.f64 x x) y)

rewrite113.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

49×	`pow1_binary64` `add-exp-log_binary64`
33×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
32×	`add-cbrt-cube_binary64`
10×	`associate-r_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64` `*-commutative_binary64` `cbrt-prod_binary64`
1×	`unswap-sqr_binary64`

Counts

3 → 77

Calls

3 calls:

14.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 (*.f64 x x) y) (cbrt.f64 3)))
8.0ms	(.f64 (.f64 (*.f64 x x) y) (cbrt.f64 3))
6.0ms	(.f64 (.f64 x x) y)

Compiler

Compiled 1408 to 852 computations (39.5% saved)

series85.0ms (3.8%)

Error

7.2b

Counts

3 → 18

Calls

3 calls:

34.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 (*.f64 x x) y) (cbrt.f64 3)))
28.0ms	(.f64 (.f64 (*.f64 x x) y) (cbrt.f64 3))
18.0ms	(.f64 (.f64 x x) y)

Compiler

Compiled 494 to 490 computations (0.8% saved)

simplify109.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

524×	`unswap-sqr_binary64`
453×	`*-commutative_binary64`
294×	`sqr-pow_binary64`
255×	`associate-l_binary64`
254×	`associate-/l*_binary64`
231×	`associate-+l+_binary64`
202×	`associate-r_binary64`
177×	`cube-prod_binary64`
168×	`exp-prod_binary64`
162×	`times-frac_binary64`
154×	`log-prod_binary64`
141×	`associate-+r+_binary64`
135×	`associate-/r/_binary64`
124×	`associate-/l/_binary64`
114×	`+-commutative_binary64`
111×	`associate-*r/_binary64`
101×	`pow-sqr_binary64`
98×	`swap-sqr_binary64`
93×	`associate-/r*_binary64`
85×	`rem-sqrt-square_binary64`
47×	`unpow3_binary64`
43×	`distribute-rgt-in_binary64`
40×	`cube-mult_binary64`
31×	`distribute-lft-in_binary64`
21×	`*-lft-identity_binary64`
20×	`*-rgt-identity_binary64`
16×	`log-div_binary64` `cube-div_binary64`
14×	`unpow1/2_binary64`
13×	`pow-plus_binary64`
11×	`cube-unmult_binary64`
9×	`distribute-lft-out_binary64`
5×	`prod-exp_binary64` `distribute-rgt-out_binary64` `count-2_binary64` `associate-*l/_binary64`
4×	`log-pow_binary64` `exp-lft-cube_binary64` `distribute-rgt1-in_binary64`
3×	`/-rgt-identity_binary64` `distribute-lft1-in_binary64`
2×	`exp-sqrt_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cube-cbrt_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

95 → 71

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	106	1818
1	231	1080
2	907	1080
3	1578	1080
4	2473	1080
5	4499	1080
6	5055	1080

prune34.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	70	7	77

Error

7.2b

Counts

77 → 7

Compiler

Compiled 403 to 276 computations (31.5% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x x) (*.f64 y (cbrt.f64 3))))
0.4b	(*.f64 y (cbrt.f64 3))
10.9b	(.f64 (.f64 x x) (*.f64 y (cbrt.f64 3)))

rewrite123.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

58×	`pow1_binary64` `add-exp-log_binary64`
41×	`add-cbrt-cube_binary64`
40×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
10×	`add-sqr-sqrt_binary64`
8×	`associate-r_binary64`
6×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
5×	`associate-l_binary64`
4×	`cbrt-prod_binary64`
3×	`add-log-exp_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`

Counts

3 → 84

Calls

3 calls:

15.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x x) (*.f64 y (cbrt.f64 3))))
7.0ms	(.f64 (.f64 x x) (*.f64 y (cbrt.f64 3)))
5.0ms	(*.f64 y (cbrt.f64 3))

Compiler

Compiled 1548 to 1056 computations (31.8% saved)

series77.0ms (3.5%)

Error

7.2b

Counts

3 → 15

Calls

3 calls:

36.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x x) (*.f64 y (cbrt.f64 3))))
28.0ms	(.f64 (.f64 x x) (*.f64 y (cbrt.f64 3)))
10.0ms	(*.f64 y (cbrt.f64 3))

Compiler

Compiled 410 to 399 computations (2.7% saved)

simplify110.0ms (5%)

Algorithm

1×	egg-herbie

Rules

656×	`unswap-sqr_binary64`
458×	`*-commutative_binary64`
266×	`sqr-pow_binary64`
241×	`associate-/l*_binary64`
236×	`associate-+l+_binary64`
211×	`associate-l_binary64`
203×	`associate-r_binary64`
179×	`times-frac_binary64`
169×	`cube-prod_binary64`
165×	`exp-prod_binary64`
149×	`log-prod_binary64`
137×	`+-commutative_binary64`
131×	`associate-+r+_binary64`
123×	`associate-/l/_binary64`
114×	`associate-/r/_binary64`
103×	`swap-sqr_binary64`
86×	`associate-*r/_binary64`
81×	`pow-sqr_binary64`
64×	`associate-/r*_binary64`
39×	`unpow3_binary64`
32×	`log-div_binary64` `cube-div_binary64`
27×	`cube-mult_binary64`
26×	`distribute-rgt-in_binary64`
19×	`associate-*l/_binary64`
18×	`distribute-lft-in_binary64`
16×	`cube-unmult_binary64`
15×	`rem-sqrt-square_binary64`
13×	`pow-plus_binary64` `distribute-lft-out_binary64`
11×	`*-rgt-identity_binary64`
10×	`*-lft-identity_binary64`
9×	`unpow1/2_binary64`
6×	`count-2_binary64`
5×	`prod-exp_binary64` `distribute-rgt-out_binary64`
4×	`log-pow_binary64` `exp-lft-cube_binary64` `exp-sqrt_binary64` `distribute-rgt1-in_binary64`
2×	`exp-lft-sqr_binary64` `/-rgt-identity_binary64` `distribute-lft1-in_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cube-cbrt_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

99 → 63

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	1978
1	220	1128
2	850	1114
3	1441	1114
4	2340	1114
5	4466	1114
6	4944	1114

prune17.0ms (0.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	63	7	70

Error

7.2b

Counts

70 → 7

Compiler

Compiled 218 to 143 computations (34.4% saved)

regimes429.0ms (19.4%)

Accuracy

Total -7.3b remaining (-2909%)

Threshold costs -7.3b (-2909%)

Compiler

Compiled 4864 to 3973 computations (18.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3× *-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	7	10
1	10	10
2	10	10

end1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

sample602.0ms (27.2%)

Algorithm

1×

intervals

Results

191.0ms	8000×	body	128	valid
2.0ms	87×	body	128	invalid

Compiler

Compiled 124 to 110 computations (11.3% saved)

Details

analyze81.0ms (3.6%)

sample14.0ms (0.6%)

simplify9.0ms (0.4%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite50.0ms (2.3%)

series28.0ms (1.3%)

simplify81.0ms (3.7%)

prune25.0ms (1.1%)

localize7.0ms (0.3%)

rewrite47.0ms (2.1%)

series36.0ms (1.6%)

simplify85.0ms (3.9%)

prune22.0ms (1%)

localize9.0ms (0.4%)

rewrite113.0ms (5.1%)

series85.0ms (3.8%)

simplify109.0ms (4.9%)

prune34.0ms (1.5%)

localize8.0ms (0.3%)

rewrite123.0ms (5.6%)

series77.0ms (3.5%)

simplify110.0ms (5%)

prune17.0ms (0.8%)

regimes429.0ms (19.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample602.0ms (27.2%)

Profiling