Details

analyze580.0ms (7.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

865×	`associate--r+_binary64`
800×	`distribute-neg-in_binary64`
579×	`associate--l+_binary64`
575×	`unsub-neg_binary64`
568×	`distribute-rgt-in_binary64`
538×	`sub-neg_binary64`
383×	`+-commutative_binary64`
375×	`distribute-lft-in_binary64`
351×	`cancel-sign-sub-inv_binary64`
269×	`*-commutative_binary64`
220×	`distribute-rgt-neg-in_binary64`
192×	`neg-sub0_binary64`
185×	`associate-+l-_binary64`
172×	`distribute-rgt-out_binary64`
159×	`distribute-lft-neg-out_binary64`
136×	`cancel-sign-sub_binary64`
118×	`neg-mul-1_binary64`
112×	`associate--l-_binary64`
110×	`distribute-neg-out_binary64`
108×	`associate-l_binary64` `associate-r_binary64`
81×	`associate-+l+_binary64`
79×	`distribute-lft-neg-in_binary64`
73×	`distribute-rgt-neg-out_binary64`
64×	`log-prod_binary64`
53×	`associate-+r+_binary64`
51×	`sub0-neg_binary64`
42×	`associate--r-_binary64`
39×	`+-rgt-identity_binary64`
37×	`remove-double-neg_binary64`
34×	`mul0-rgt_binary64` `mul0-lft_binary64`
31×	`*-lft-identity_binary64`
28×	`associate-+r-_binary64`
21×	`distribute-rgt-out--_binary64`
18×	`+-lft-identity_binary64`
16×	`*-rgt-identity_binary64`
14×	`distribute-lft-out--_binary64`
8×	`--rgt-identity_binary64`
4×	`distribute-rgt1-in_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	140
1	94	140
2	156	140
3	255	140
4	412	140
5	735	140
6	1325	140
7	1666	140
8	1787	140
9	1927	140
10	2284	140
11	2836	140
12	3305	140
13	3490	140
14	3489	140
15	3489	140
16	3489	140
17	3571	140
18	3571	140
19	4981	140
20	5332	140
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample49.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	175×	body	128	valid
12.0ms	25×	body	1024	valid
7.0ms	28×	body	512	valid
4.0ms	28×	body	256	valid
0.0ms	6×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

173×	`distribute-rgt-in_binary64`
147×	`unsub-neg_binary64`
124×	`associate--r+_binary64`
121×	`cancel-sign-sub-inv_binary64`
91×	`associate--l+_binary64`
88×	`distribute-lft-in_binary64`
85×	`sub-neg_binary64`
67×	`distribute-neg-in_binary64`
49×	`associate--r-_binary64`
48×	`neg-mul-1_binary64` `associate-+r+_binary64`
47×	`+-commutative_binary64`
45×	`associate-+l+_binary64`
41×	`neg-sub0_binary64`
34×	`distribute-lft-neg-out_binary64`
32×	`distribute-rgt-neg-in_binary64` `associate--l-_binary64` `*-commutative_binary64`
26×	`*-lft-identity_binary64` `associate-+l-_binary64`
23×	`-rgt-identity_binary64` `associate-l*_binary64`
18×	`associate-r_binary64`
17×	`distribute-rgt-neg-out_binary64`
16×	`remove-double-neg_binary64`
15×	`distribute-lft-neg-in_binary64`
12×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-+r-_binary64`
10×	`sub0-neg_binary64` `--rgt-identity_binary64`
7×	`+-rgt-identity_binary64` `distribute-rgt-out--_binary64`
6×	`+-lft-identity_binary64` `distribute-neg-out_binary64`
2×	`log-prod_binary64` `distribute-rgt-out_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_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_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	24	20
2	37	20
3	56	20
4	85	20
5	144	20
6	243	20
7	326	20
8	511	20
9	745	20
10	729	20
11	704	20
12	657	20

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

11.5b

Counts

1 → 1

Compiler

Compiled 13 to 12 computations (7.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.0b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
0.3b	(*.f64 x (log.f64 y))
6.3b	(log.f64 (-.f64 1 y))

rewrite170.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

11.0b

Rules

29×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
24×	`log-prod_binary64`
14×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`add-exp-log_binary64` `add-log-exp_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
8×	`add-cbrt-cube_binary64` `associate-r_binary64`
7×	`difference-of-squares_binary64`
6×	`associate-l_binary64`
4×	`distribute-lft-out--_binary64`
3×	`log-pow_binary64` `cancel-sign-sub-inv_binary64`
2×	`flip3--_binary64` `log-div_binary64` `flip--_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `diff-log_binary64`
1×	`rem-log-exp_binary64` `sum-log_binary64` `sub-neg_binary64` `associate--l+_binary64`

Counts

4 → 91

Calls

4 calls:

7.0ms	(*.f64 x (log.f64 y))
7.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
7.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
4.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 1683 to 903 computations (46.3% saved)

series215.0ms (2.9%)

Error

0.2b

Counts

4 → 45

Calls

4 calls:

109.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
30.0ms	(*.f64 x (log.f64 y))
29.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
10.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 1438 to 1165 computations (19% saved)

simplify140.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

505×	`unsub-neg_binary64`
378×	`sub-neg_binary64`
352×	`times-frac_binary64`
288×	`distribute-rgt-in_binary64`
255×	`*-commutative_binary64`
228×	`distribute-lft-in_binary64`
191×	`associate-+l+_binary64`
174×	`associate-+r+_binary64`
152×	`neg-sub0_binary64`
147×	`associate-l_binary64`
143×	`neg-mul-1_binary64`
132×	`associate-r_binary64`
126×	`associate--r+_binary64`
120×	`+-commutative_binary64`
112×	`cancel-sign-sub-inv_binary64`
109×	`distribute-neg-out_binary64`
105×	`exp-sum_binary64`
97×	`distribute-neg-in_binary64`
95×	`distribute-rgt-neg-in_binary64`
93×	`exp-prod_binary64`
79×	`sqr-pow_binary64` `associate-+l-_binary64`
76×	`distribute-lft-neg-in_binary64`
73×	`associate-+r-_binary64`
72×	`log-prod_binary64`
62×	`exp-diff_binary64`
52×	`sub0-neg_binary64`
50×	`associate--l+_binary64`
49×	`cube-prod_binary64`
46×	`distribute-rgt-out_binary64`
44×	`distribute-lft-neg-out_binary64`
41×	`distribute-rgt-neg-out_binary64`
36×	`+-rgt-identity_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64`
32×	`*-lft-identity_binary64`
30×	`*-rgt-identity_binary64`
28×	`swap-sqr_binary64`
24×	`associate--l-_binary64`
20×	`exp-to-pow_binary64`
15×	`div-sub_binary64` `distribute-lft-out_binary64`
14×	`log-div_binary64` `cube-unmult_binary64`
13×	`sqr-neg_binary64`
12×	`pow-sqr_binary64`
11×	`unpow3_binary64` `cube-neg_binary64`
9×	`difference-of-squares_binary64` `distribute-rgt1-in_binary64`
8×	`log-pow_binary64` `rem-sqrt-square_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
7×	`mul-1-neg_binary64` `associate--r-_binary64`
6×	`cube-div_binary64` `associate-/l_binary64` `associate-/r_binary64`
5×	`unpow1/2_binary64` `div-exp_binary64` `prod-exp_binary64` `cube-mult_binary64` `--rgt-identity_binary64`
4×	`log-rec_binary64` `remove-double-neg_binary64` `difference-of-sqr-1_binary64` `distribute-rgt-out--_binary64`
3×	`rem-exp-log_binary64` `distribute-frac-neg_binary64`
2×	`pow-plus_binary64` `+-inverses_binary64` `count-2_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `rec-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `distribute-neg-frac_binary64` `distribute-lft-out--_binary64` `associate-/r/_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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` `e-exp-1_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

136 → 97

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	228	2154
1	484	1981
2	1408	1936
3	3419	1933
4	4494	1933
5	5200	1933

prune93.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	7	98

Error

0.1b

Counts

98 → 7

Compiler

Compiled 1367 to 743 computations (45.6% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (.f64 y 1/3)))))))
0.0b	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 y 1/3)))
0.3b	(*.f64 x (log.f64 y))
0.4b	(*.f64 y 1/3)

rewrite217.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
14×	`pow1_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`log-prod_binary64`
11×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
10×	`associate-r_binary64`
8×	`associate-+r+_binary64`
7×	`associate-l_binary64`
6×	`add-log-exp_binary64` `associate-+l+_binary64` `cancel-sign-sub-inv_binary64`
5×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
3×	`unswap-sqr_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64` `sub-neg_binary64`
1×	`log-pow_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (.f64 y 1/3)))))))
8.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 y 1/3)))
4.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 y 1/3)

Compiler

Compiled 3008 to 1689 computations (43.8% saved)

series226.0ms (3.1%)

Error

0.1b

Counts

4 → 39

Calls

4 calls:

130.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (.f64 y 1/3)))))))
34.0ms	(*.f64 x (log.f64 y))
18.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 y 1/3)))
8.0ms	(*.f64 y 1/3)

Compiler

Compiled 1937 to 1516 computations (21.7% saved)

simplify123.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

662×	`distribute-rgt-in_binary64`
620×	`distribute-lft-in_binary64`
272×	`associate-l_binary64`
251×	`cancel-sign-sub-inv_binary64`
221×	`associate-r_binary64`
159×	`distribute-rgt-neg-in_binary64`
156×	`exp-prod_binary64`
133×	`*-commutative_binary64`
125×	`distribute-lft-neg-in_binary64`
90×	`distribute-neg-in_binary64`
74×	`sub-neg_binary64`
73×	`distribute-rgt-out_binary64`
56×	`unswap-sqr_binary64`
52×	`neg-sub0_binary64`
50×	`+-commutative_binary64`
49×	`neg-mul-1_binary64` `sqr-pow_binary64`
44×	`log-prod_binary64`
35×	`exp-diff_binary64`
33×	`distribute-lft-neg-out_binary64`
29×	`distribute-lft-out_binary64`
26×	`*-rgt-identity_binary64`
25×	`*-lft-identity_binary64`
24×	`associate--r+_binary64`
23×	`distribute-rgt-out--_binary64`
21×	`unsub-neg_binary64`
20×	`cube-prod_binary64` `associate-+r+_binary64`
17×	`distribute-rgt-neg-out_binary64` `associate-+l+_binary64`
15×	`swap-sqr_binary64`
14×	`exp-sum_binary64`
11×	`unpow3_binary64` `distribute-lft-out--_binary64`
7×	`distribute-rgt1-in_binary64`
6×	`cube-mult_binary64` `div-sub_binary64`
5×	`pow-plus_binary64` `cube-unmult_binary64`
4×	`log-div_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-sqr_binary64`
3×	`prod-exp_binary64` `mul-1-neg_binary64` `distribute-lft1-in_binary64`
2×	`log-pow_binary64` `unpow1/3_binary64` `remove-double-neg_binary64` `count-2_binary64` `associate-/r*_binary64` `associate-+r-_binary64`
1×	`log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_binary64` `+-inverses_binary64` `difference-of-squares_binary64` `associate--r-_binary64` `associate--l+_binary64` `associate-+l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_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` `times-frac_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-/l_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--l-_binary64`

Counts

130 → 101

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	2680
1	505	2513
2	1734	2326
3	4785	2326
4	4946	2326

prune148.0ms (2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	97	4	101
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	100	8	108

Error

0.0b

Counts

108 → 8

Compiler

Compiled 2511 to 1504 computations (40.1% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 y (+.f64 (.f64 1/3 y) 1/2))
0.3b	(*.f64 x (log.f64 (sqrt.f64 y)))
0.3b	(*.f64 (log.f64 (sqrt.f64 y)) x)
0.4b	(*.f64 1/3 y)

rewrite231.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-sqr-sqrt_binary64`
16×	`pow1_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
15×	`associate-l_binary64` `associate-r_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `log-prod_binary64`
7×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
6×	`log-pow_binary64` `sqrt-prod_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `associate-*r/_binary64`
1×	`flip3-+_binary64` `flip-+_binary64`

Counts

4 → 94

Calls

4 calls:

7.0ms	(.f64 y (+.f64 (.f64 1/3 y) 1/2))
6.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
5.0ms	(*.f64 (log.f64 (sqrt.f64 y)) x)
4.0ms	(*.f64 1/3 y)

Compiler

Compiled 3236 to 1638 computations (49.4% saved)

series99.0ms (1.4%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

32.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
30.0ms	(*.f64 (log.f64 (sqrt.f64 y)) x)
16.0ms	(.f64 y (+.f64 (.f64 1/3 y) 1/2))
10.0ms	(*.f64 1/3 y)

Compiler

Compiled 1504 to 1087 computations (27.7% saved)

simplify142.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

595×	`unswap-sqr_binary64`
299×	`*-commutative_binary64`
271×	`+-commutative_binary64`
258×	`exp-prod_binary64`
244×	`distribute-rgt-in_binary64`
239×	`distribute-lft-in_binary64`
218×	`sqr-pow_binary64` `associate-+l+_binary64`
210×	`associate-+r+_binary64`
170×	`associate-l_binary64`
143×	`log-prod_binary64`
142×	`associate-r_binary64`
132×	`times-frac_binary64`
116×	`rem-sqrt-square_binary64`
114×	`cube-prod_binary64`
113×	`associate-*l/_binary64`
107×	`distribute-rgt-out_binary64`
101×	`associate-*r/_binary64`
90×	`pow-sqr_binary64`
87×	`log-div_binary64` `cube-div_binary64`
82×	`prod-exp_binary64`
72×	`swap-sqr_binary64`
71×	`associate-/l*_binary64`
58×	`unpow3_binary64`
48×	`*-rgt-identity_binary64` `associate-/l/_binary64`
47×	`exp-sum_binary64`
44×	`cube-mult_binary64`
41×	`*-lft-identity_binary64`
27×	`associate-/r*_binary64`
26×	`log-pow_binary64`
19×	`associate-/r/_binary64`
18×	`cube-unmult_binary64`
14×	`distribute-lft-out_binary64`
12×	`exp-to-pow_binary64`
11×	`unpow1/2_binary64` `pow-plus_binary64`
9×	`exp-diff_binary64` `distribute-rgt1-in_binary64`
7×	`exp-sqrt_binary64`
5×	`log-rec_binary64` `rem-exp-log_binary64` `count-2_binary64`
3×	`exp-lft-sqr_binary64` `rem-log-exp_binary64`
2×	`unpow1/3_binary64`
1×	`log-E_binary64` `unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `sub-neg_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` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_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` `rem-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-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

115 → 63

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	153	1307
1	291	1189
2	782	1188
3	1414	1188
4	2115	1180
5	4075	1180
6	4114	1180
7	4804	1180

prune93.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	63	8	71

Error

0.0b

Counts

71 → 8

Compiler

Compiled 1678 to 927 computations (44.8% saved)

localize38.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 x (log.f64 (fabs.f64 (cbrt.f64 y)))) (.f64 x (log.f64 (sqrt.f64 (cbrt.f64 y)))))
0.4b	(*.f64 1/3 y)
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)

rewrite234.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`log-prod_binary64`
18×	`add-sqr-sqrt_binary64` `associate-+r+_binary64`
16×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
12×	`cbrt-prod_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `sqrt-prod_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-+l+_binary64`
3×	`associate-l_binary64` `associate-r_binary64`
2×	`pow1/3_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

4 → 76

Calls

4 calls:

7.0ms	(+.f64 (.f64 x (log.f64 (fabs.f64 (cbrt.f64 y)))) (.f64 x (log.f64 (sqrt.f64 (cbrt.f64 y)))))
4.0ms	(*.f64 1/3 y)
2.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 3487 to 1499 computations (57% saved)

series165.0ms (2.3%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

93.0ms	(+.f64 (.f64 x (log.f64 (fabs.f64 (cbrt.f64 y)))) (.f64 x (log.f64 (sqrt.f64 (cbrt.f64 y)))))
22.0ms	(cbrt.f64 y)
20.0ms	(cbrt.f64 y)
10.0ms	(*.f64 1/3 y)

Compiler

Compiled 1686 to 1263 computations (25.1% saved)

simplify113.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

610×	`associate-l_binary64`
495×	`associate-r_binary64`
445×	`distribute-rgt-in_binary64`
265×	`distribute-rgt-out_binary64`
250×	`unswap-sqr_binary64`
192×	`distribute-lft-out_binary64`
181×	`log-prod_binary64`
166×	`*-commutative_binary64`
127×	`cancel-sign-sub-inv_binary64`
117×	`distribute-rgt-neg-in_binary64`
106×	`exp-prod_binary64`
102×	`distribute-lft-neg-in_binary64`
93×	`cube-prod_binary64`
86×	`sqr-pow_binary64`
63×	`distribute-lft-in_binary64`
60×	`swap-sqr_binary64`
52×	`+-commutative_binary64`
48×	`sub-neg_binary64`
34×	`neg-sub0_binary64`
33×	`distribute-rgt-out--_binary64`
32×	`neg-mul-1_binary64` `distribute-lft-neg-out_binary64`
27×	`log-pow_binary64`
25×	`associate-+l+_binary64`
23×	`distribute-neg-in_binary64`
21×	`associate-+r+_binary64`
19×	`log-div_binary64`
18×	`associate-/r*_binary64`
17×	`pow-sqr_binary64` `distribute-lft-out--_binary64`
16×	`distribute-rgt-neg-out_binary64`
14×	`pow-plus_binary64` `cube-unmult_binary64`
11×	`unpow3_binary64`
10×	`cube-mult_binary64` `unsub-neg_binary64`
7×	`count-2_binary64`
6×	`associate-/l*_binary64` `associate-+r-_binary64`
5×	`rem-sqrt-square_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64`
3×	`log-rec_binary64` `unpow1/3_binary64` `sub0-neg_binary64` `difference-of-squares_binary64`
2×	`exp-to-pow_binary64` `exp-sum_binary64` `rem-exp-log_binary64` `associate--r+_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_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` `pow-base-0_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

91 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	1331
1	315	1236
2	798	1232
3	2521	1223
4	4995	1223
5	4936	1223

prune142.0ms (1.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	64	9	73

Error

0.0b

Counts

73 → 9

Compiler

Compiled 2188 to 988 computations (54.8% saved)

regimes2.2s (29.8%)

Accuracy

Total 0.2b remaining (85.7%)

Threshold costs 0.2b (85.7%)

Compiler

Compiled 34235 to 26486 computations (22.6% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64` `+-commutative_binary64`
9×	`sub-neg_binary64`
7×	`neg-mul-1_binary64` `neg-sub0_binary64`
6×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
4×	`distribute-neg-in_binary64`
3×	`unsub-neg_binary64`
1×	`1-exp_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` `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-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	59
1	46	59
2	57	59
3	72	59
4	85	59
5	96	59
6	108	59
7	111	59
8	112	59
9	109	59

end1.0ms (0%)

Compiler: Compiled 38 to 27 computations (28.9% saved)

sample1.8s (24.7%)

Algorithm

1×

intervals

Results

433.0ms	5886×	body	128	valid
305.0ms	617×	body	1024	valid
239.0ms	888×	body	512	valid
90.0ms	595×	body	256	valid
18.0ms	249×	body	128	nan
9.0ms	14×	body	2048	valid
2.0ms	32×	body	128	invalid

Compiler

Compiled 415 to 323 computations (22.2% saved)

Iter	Nodes	Cost
0	13	20
1	24	20
2	37	20
3	56	20
4	85	20
5	144	20
6	243	20
7	326	20
8	511	20
9	745	20
10	729	20
11	704	20
12	657	20

Iter	Nodes	Cost
0	13	20
1	24	20
2	37	20
3	56	20
4	85	20
5	144	20
6	243	20
7	326	20
8	511	20
9	745	20
10	729	20
11	704	20
12	657	20

Details

analyze580.0ms (7.9%)

sample49.0ms (0.7%)

simplify39.0ms (0.5%)

prune2.0ms (0%)

localize11.0ms (0.1%)

rewrite170.0ms (2.3%)

series215.0ms (2.9%)

simplify140.0ms (1.9%)

prune93.0ms (1.3%)

localize18.0ms (0.3%)

rewrite217.0ms (3%)

series226.0ms (3.1%)

simplify123.0ms (1.7%)

prune148.0ms (2%)

localize23.0ms (0.3%)

rewrite231.0ms (3.2%)

series99.0ms (1.4%)

simplify142.0ms (1.9%)

prune93.0ms (1.3%)

localize38.0ms (0.5%)

rewrite234.0ms (3.2%)

series165.0ms (2.3%)

simplify113.0ms (1.5%)

prune142.0ms (1.9%)

regimes2.2s (29.8%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

end1.0ms (0%)

sample1.8s (24.7%)

Profiling

Iter	Nodes	Cost
0	13	20
1	24	20
2	37	20
3	56	20
4	85	20
5	144	20
6	243	20
7	326	20
8	511	20
9	745	20
10	729	20
11	704	20
12	657	20