Details

analyze324.0ms (6.4%)

Algorithm

1×

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)

sample50.0ms (1%)

Algorithm

1×

intervals

Results

16.0ms	30×	body	1024	valid
13.0ms	181×	body	128	valid
7.0ms	26×	body	512	valid
3.0ms	19×	body	256	valid
0.0ms	6×	body	128	nan

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify198.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	625	20
1	625	20

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 10.5b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.3b	(*.f64 x (log.f64 y))
5.9b	(log.f64 (-.f64 1 y))

rewrite32.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_14893`
25×	`*-un-lft-identity_binary64_14871`
24×	`log-prod_binary64_14957`
14×	`add-cube-cbrt_binary64_14906`
11×	`pow1_binary64_14932`
9×	`add-log-exp_binary64_14910` `add-exp-log_binary64_14909` `distribute-rgt-in_binary64_14821` `distribute-lft-in_binary64_14820`
8×	`associate-r_binary64_14811` `add-cbrt-cube_binary64_14907`
7×	`difference-of-squares_binary64_14840`
6×	`associate-l_binary64_14812`
4×	`distribute-lft-out--_binary64_14823`
3×	`cancel-sign-sub-inv_binary64_14837` `log-pow_binary64_14960`
2×	`pow-prod-down_binary64_14942` `flip3--_binary64_14875` `log-div_binary64_14958` `diff-log_binary64_14963` `prod-exp_binary64_14920` `cbrt-unprod_binary64_14904` `unswap-sqr_binary64_14839` `flip--_binary64_14846` `*-commutative_binary64_14802`
1×	`sum-log_binary64_14962` `associate--l+_binary64_14808` `sub-neg_binary64_14864` `rem-log-exp_binary64_14912`

Counts

4 → 91

Calls

4 calls:

8.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
8.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series275.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

128.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
68.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
55.0ms	(*.f64 x (log.f64 y))
24.0ms	(log.f64 (-.f64 1 y))

simplify72.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5132	1530

prune337.0ms (6.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

Compiler

Compiled 5955 to 4133 computations (30.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite39.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`distribute-rgt-in_binary64_14821` `add-sqr-sqrt_binary64_14893` `distribute-lft-in_binary64_14820`
16×	`associate-+r+_binary64_14803`
15×	`*-un-lft-identity_binary64_14871` `add-cube-cbrt_binary64_14906`
14×	`pow1_binary64_14932`
13×	`add-exp-log_binary64_14909` `add-cbrt-cube_binary64_14907`
12×	`log-prod_binary64_14957` `cancel-sign-sub-inv_binary64_14837`
10×	`associate-r_binary64_14811`
8×	`associate--l+_binary64_14808` `sub-neg_binary64_14864`
7×	`associate-l_binary64_14812`
6×	`add-log-exp_binary64_14910` `associate-+l+_binary64_14804`
5×	`pow-prod-down_binary64_14942` `prod-exp_binary64_14920` `cbrt-unprod_binary64_14904`
3×	`unswap-sqr_binary64_14839` `*-commutative_binary64_14802`
2×	`associate-*r/_binary64_14813`
1×	`flip3--_binary64_14875` `sum-log_binary64_14962` `flip-+_binary64_14845` `flip--_binary64_14846` `+-commutative_binary64_14801` `log-pow_binary64_14960` `flip3-+_binary64_14874`

Counts

4 → 101

Calls

4 calls:

12.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
8.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y)))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 y 1/3)

series357.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

177.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y)))
102.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
57.0ms	(*.f64 x (log.f64 y))
21.0ms	(*.f64 y 1/3)

simplify62.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5112	1801

prune157.0ms (3.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	113	7	120

Merged error: 0.0b

Counts

120 → 7

Compiler

Compiled 3568 to 1906 computations (46.6% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite35.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_14893`
19×	`pow1_binary64_14932`
15×	`add-exp-log_binary64_14909` `-un-lft-identity_binary64_14871` `associate-r*_binary64_14811` `add-cube-cbrt_binary64_14906` `add-cbrt-cube_binary64_14907`
13×	`associate-l_binary64_14812`
12×	`log-prod_binary64_14957`
8×	`distribute-rgt-in_binary64_14821` `distribute-lft-in_binary64_14820`
6×	`pow-prod-down_binary64_14942` `prod-exp_binary64_14920` `cbrt-unprod_binary64_14904` `sqrt-prod_binary64_14887` `log-pow_binary64_14960`
4×	`add-log-exp_binary64_14910` `unswap-sqr_binary64_14839` `*-commutative_binary64_14802`
2×	`associate-*r/_binary64_14813` `sqrt-pow1_binary64_14889` `cancel-sign-sub-inv_binary64_14837` `sub-neg_binary64_14864` `pow1/2_binary64_14951`
1×	`flip3--_binary64_14875` `flip--_binary64_14846`

Counts

4 → 97

Calls

4 calls:

9.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
6.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
5.0ms	(*.f64 (log.f64 (sqrt.f64 y)) x)
4.0ms	(*.f64 y 1/3)

series260.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

94.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
73.0ms	(*.f64 (log.f64 (sqrt.f64 y)) x)
73.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
20.0ms	(*.f64 y 1/3)

simplify80.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4850	1385
1	4850	1385

prune162.0ms (3.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	108	8	116

Merged error: 0.0b

Counts

116 → 8

Compiler

Compiled 4151 to 1888 computations (54.5% saved)

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) (cbrt.f64 (log.f64 (sqrt.f64 y))))
0.5b	(cbrt.f64 (log.f64 (sqrt.f64 y)))
0.5b	(cbrt.f64 (log.f64 (sqrt.f64 y)))
0.5b	(cbrt.f64 (log.f64 (sqrt.f64 y)))

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`cbrt-prod_binary64_14902`
27×	`pow1_binary64_14932`
23×	`add-sqr-sqrt_binary64_14893` `log-pow_binary64_14960`
17×	`*-un-lft-identity_binary64_14871`
15×	`add-cube-cbrt_binary64_14906`
11×	`swap-sqr_binary64_14838`
9×	`pow1/3_binary64_14953` `associate-l_binary64_14812` `associate-r_binary64_14811`
7×	`sqrt-pow1_binary64_14889` `pow1/2_binary64_14951`
6×	`add-exp-log_binary64_14909`
4×	`add-log-exp_binary64_14910` `unswap-sqr_binary64_14839` `add-cbrt-cube_binary64_14907`
2×	`pow-prod-down_binary64_14942` `pow-sqr_binary64_14844` `pow-prod-up_binary64_14941`
1×	`pow2_binary64_14952` `prod-exp_binary64_14920` `cbrt-unprod_binary64_14904` `pow-plus_binary64_14934` `*-commutative_binary64_14802`

Counts

4 → 93

Calls

4 calls:

10.0ms	(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) (cbrt.f64 (log.f64 (sqrt.f64 y))))
2.0ms	(cbrt.f64 (log.f64 (sqrt.f64 y)))
2.0ms	(cbrt.f64 (log.f64 (sqrt.f64 y)))
2.0ms	(cbrt.f64 (log.f64 (sqrt.f64 y)))

series533.0ms (10.6%)

Counts

4 → 12

Calls

4 calls:

233.0ms	(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) (cbrt.f64 (log.f64 (sqrt.f64 y))))
106.0ms	(cbrt.f64 (log.f64 (sqrt.f64 y)))
101.0ms	(cbrt.f64 (log.f64 (sqrt.f64 y)))
93.0ms	(cbrt.f64 (log.f64 (sqrt.f64 y)))

simplify87.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4945	2304
1	4945	2304

prune198.0ms (3.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	107	6	113

Merged error: 0.0b

Counts

113 → 6

Compiler

Compiled 5455 to 2246 computations (58.8% saved)

regimes72.0ms (1.4%)

Compiler: Compiled 664 to 492 computations (25.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	42
1	61	42

end0.0ms (0%)

sample1.6s (31.9%)

Algorithm

1×

intervals

Results

434.0ms	5799×	body	128	valid
354.0ms	695×	body	1024	valid
227.0ms	849×	body	512	valid
103.0ms	636×	body	256	valid
23.0ms	276×	body	128	nan
15.0ms	21×	body	2048	valid
2.0ms	31×	body	128	invalid

Compiler

Compiled 236 to 174 computations (26.3% saved)

Details

analyze324.0ms (6.4%)

sample50.0ms (1%)

simplify198.0ms (3.9%)

prune2.0ms (0%)

localize11.0ms (0.2%)

rewrite32.0ms (0.6%)

series275.0ms (5.5%)

simplify72.0ms (1.4%)

prune337.0ms (6.7%)

localize15.0ms (0.3%)

rewrite39.0ms (0.8%)

series357.0ms (7.1%)

simplify62.0ms (1.2%)

prune157.0ms (3.1%)

localize21.0ms (0.4%)

rewrite35.0ms (0.7%)

series260.0ms (5.2%)

simplify80.0ms (1.6%)

prune162.0ms (3.2%)

localize26.0ms (0.5%)

rewrite27.0ms (0.5%)

series533.0ms (10.6%)

simplify87.0ms (1.7%)

prune198.0ms (3.9%)

regimes72.0ms (1.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.6s (31.9%)

Profiling