Details

analyze296.0ms (3.7%)

Algorithm

1×

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
0%	99.9%	0.1%	5
0%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify310.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (200.0ms)

Iter	Nodes	Cost
0	4948	18
1	4948	18

prune2.0ms (0%)

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

0.2b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
0.1b	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
0.1b	(*.f64 (+.f64 y 1/2) (log.f64 y))

rewrite121.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-log-exp_binary64_12393` `*-un-lft-identity_binary64_12354`
12×	`add-sqr-sqrt_binary64_12376`
8×	`add-cube-cbrt_binary64_12389`
6×	`pow1_binary64_12415` `log-prod_binary64_12440`
5×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390` `diff-log_binary64_12446`
4×	`associate-l_binary64_12295` `associate-r_binary64_12294` `sum-log_binary64_12445` `cancel-sign-sub-inv_binary64_12320`
3×	`distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303` `distribute-lft-out_binary64_12305`
2×	`flip3-+_binary64_12357` `associate-*l/_binary64_12297` `flip-+_binary64_12328` `associate-+l-_binary64_12289` `sub-neg_binary64_12347` `associate-+l+_binary64_12287` `distribute-lft-out--_binary64_12306`
1×	`pow-prod-down_binary64_12425` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `unswap-sqr_binary64_12322` `log-pow_binary64_12443` `*-commutative_binary64_12285` `+-commutative_binary64_12284` `flip3--_binary64_12358` `flip--_binary64_12329` `difference-of-squares_binary64_12323` `associate--l-_binary64_12292` `associate--l+_binary64_12291`

Counts

3 → 65

Calls

3 calls:

14.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))
12.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
12.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)

Compiler

Compiled 1316 to 731 computations (44.5% saved)

series1.2s (15%)

Error

0.1b

Counts

3 → 33

Calls

3 calls:

595.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
478.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
99.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

Compiler

Compiled 1109 to 783 computations (29.4% saved)

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4928	1505
1	4928	1505

prune110.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	90	8	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	9	99

Error

0.0b

Counts

99 → 9

Compiler

Compiled 1638 to 874 computations (46.6% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(+.f64 (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite164.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`*-un-lft-identity_binary64_12354`
12×	`cbrt-prod_binary64_12385` `log-prod_binary64_12440` `associate-+r+_binary64_12286`
11×	`add-cube-cbrt_binary64_12389` `add-sqr-sqrt_binary64_12376`
10×	`associate-*l/_binary64_12297`
9×	`pow1_binary64_12415` `add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390`
6×	`add-log-exp_binary64_12393` `flip3-+_binary64_12357` `flip-+_binary64_12328` `distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303`
4×	`frac-add_binary64_12362` `associate-l_binary64_12295`
3×	`pow-prod-down_binary64_12425` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387`
2×	`pow1/3_binary64_12436` `distribute-lft-out_binary64_12305`
1×	`sum-log_binary64_12445` `+-commutative_binary64_12284` `associate-r_binary64_12294` `*-commutative_binary64_12285`

Counts

4 → 71

Calls

4 calls:

15.0ms	(+.f64 (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
8.0ms	(.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

Compiler

Compiled 2368 to 1316 computations (44.4% saved)

series656.0ms (8.1%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

258.0ms	(+.f64 (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
185.0ms	(.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))
98.0ms	(cbrt.f64 y)
93.0ms	(cbrt.f64 y)

Compiler

Compiled 1074 to 849 computations (20.9% saved)

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5664	1205

prune137.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	4	87
Fresh	5	2	7
Picked	1	0	1
Done	0	1	1
Total	89	7	96

Error

0.0b

Counts

96 → 7

Compiler

Compiled 2355 to 1361 computations (42.2% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.7b	(cbrt.f64 (cbrt.f64 y))
0.7b	(cbrt.f64 (cbrt.f64 y))

rewrite84.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`cbrt-prod_binary64_12385`
10×	`add-cube-cbrt_binary64_12389` `add-sqr-sqrt_binary64_12376` `*-un-lft-identity_binary64_12354`
4×	`pow1/3_binary64_12436` `pow1_binary64_12415` `add-log-exp_binary64_12393` `add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390`

Counts

4 → 50

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 y))
2.0ms	(cbrt.f64 (cbrt.f64 y))
2.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1688 to 755 computations (55.3% saved)

series407.0ms (5%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt.f64 (cbrt.f64 y))
105.0ms	(cbrt.f64 (cbrt.f64 y))
93.0ms	(cbrt.f64 y)
79.0ms	(cbrt.f64 y)

Compiler

Compiled 1134 to 836 computations (26.3% saved)

simplify98.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4718	452
1	4718	452

prune106.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	62	7	69

Error

0.0b

Counts

69 → 7

Compiler

Compiled 2112 to 1059 computations (49.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 3/2 (*.f64 y 3))
0.1b	(+.f64 (-.f64 x (.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))) y)
0.4b	(.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))
0.4b	(*.f64 -1/3 (neg.f64 (log.f64 y)))

rewrite169.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`associate-r_binary64_12294`
13×	`pow1_binary64_12415` `add-sqr-sqrt_binary64_12376` `*-un-lft-identity_binary64_12354`
11×	`add-exp-log_binary64_12392` `add-log-exp_binary64_12393` `add-cbrt-cube_binary64_12390` `add-cube-cbrt_binary64_12389`
6×	`log-prod_binary64_12440` `distribute-neg-in_binary64_12315`
4×	`pow-prod-down_binary64_12425` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303` `associate-l_binary64_12295` `distribute-rgt-neg-in_binary64_12312` `distribute-lft-neg-in_binary64_12311`
3×	`distribute-rgt-neg-out_binary64_12314` `flip3-+_binary64_12357` `flip-+_binary64_12328` `sum-log_binary64_12445` `associate-+l+_binary64_12287`
2×	`log-pow_binary64_12443` `-commutative_binary64_12285` `associate-r/_binary64_12296` `+-commutative_binary64_12284`
1×	`unswap-sqr_binary64_12322` `neg-mul-1_binary64_12350` `distribute-lft-neg-out_binary64_12313` `diff-log_binary64_12446` `distribute-lft-out_binary64_12305` `associate-+l-_binary64_12289` `sub-neg_binary64_12347` `cancel-sign-sub-inv_binary64_12320` `cancel-sign-sub_binary64_12319`

Counts

4 → 85

Calls

4 calls:

17.0ms	(.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))
12.0ms	(+.f64 (-.f64 x (.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))) y)
11.0ms	(*.f64 -1/3 (neg.f64 (log.f64 y)))
3.0ms	(+.f64 3/2 (*.f64 y 3))

Compiler

Compiled 2111 to 1329 computations (37% saved)

series507.0ms (6.3%)

Error

Counts

4 → 25

Calls

4 calls:

287.0ms	(+.f64 (-.f64 x (.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))) y)
92.0ms	(.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))
73.0ms	(*.f64 -1/3 (neg.f64 (log.f64 y)))
29.0ms	(+.f64 3/2 (*.f64 y 3))

Compiler

Compiled 986 to 743 computations (24.6% saved)

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5119	1255

prune145.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	110	7	117

Error

Counts

117 → 7

Compiler

Compiled 1984 to 1166 computations (41.2% saved)

regimes843.0ms (10.4%)

Accuracy

Total 0.1b remaining (99.1%)

Threshold costs 0.1b (99.1%)

Compiler

Compiled 7579 to 6031 computations (20.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	29
1	29	29

end0.0ms (0%)

sample2.5s (30.3%)

Algorithm

1×

intervals

Results

477.0ms	7998×	body	128	valid
2.0ms	40×	body	128	invalid
1.0ms	2×	body	1024	valid

Compiler

Compiled 1525 to 1217 computations (20.2% saved)

Details

analyze296.0ms (3.7%)

sample26.0ms (0.3%)

simplify310.0ms (3.8%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite121.0ms (1.5%)

series1.2s (15%)

simplify82.0ms (1%)

prune110.0ms (1.4%)

localize18.0ms (0.2%)

rewrite164.0ms (2%)

series656.0ms (8.1%)

simplify58.0ms (0.7%)

prune137.0ms (1.7%)

localize22.0ms (0.3%)

rewrite84.0ms (1%)

series407.0ms (5%)

simplify98.0ms (1.2%)

prune106.0ms (1.3%)

localize14.0ms (0.2%)

rewrite169.0ms (2.1%)

series507.0ms (6.3%)

simplify53.0ms (0.7%)

prune145.0ms (1.8%)

regimes843.0ms (10.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.5s (30.3%)

Profiling