Details

analyze306.0ms (7.4%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	468	20
1	468	20
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14
72.6%	3.9%	23.5%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample206.0ms (5%)

Algorithm

2×

intervals

Results

11.0ms	512×	body	128	valid
4.0ms	173×	body	128	invalid

Compiler

Compiled 2775 to 3120 computations (-12.4% saved)

simplify17.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	268	10
1	268	10

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x y) (-.f64 1 y))

rewrite45.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
6×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `cancel-sign-sub-inv_binary64_385` `associate-r_binary64_359`
4×	`add-cube-cbrt_binary64_454` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
3×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
2×	`sub-neg_binary64_412` `associate-*r/_binary64_361` `difference-of-squares_binary64_388`
1×	`add-log-exp_binary64_458` `flip3--_binary64_423` `flip--_binary64_394` `associate-l_binary64_360` `distribute-lft-out--_binary64_371` `*-commutative_binary64_350`

Counts

1 → 31

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

Compiler

Compiled 441 to 229 computations (48.1% saved)

series139.0ms (3.4%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

133.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

Compiler

Compiled 178 to 132 computations (25.8% saved)

simplify66.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4945	442
1	4945	442

prune30.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	36	4	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	5	41

Error

0.0b

Counts

41 → 5

Compiler

Compiled 445 to 147 computations (67% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))

rewrite200.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

50×	`cbrt-prod_binary64_450`
44×	`add-sqr-sqrt_binary64_441`
42×	`*-un-lft-identity_binary64_419`
18×	`cbrt-div_binary64_451`
15×	`add-cube-cbrt_binary64_454`
14×	`difference-of-squares_binary64_388`
11×	`pow1_binary64_480` `swap-sqr_binary64_386`
9×	`pow1/3_binary64_501` `flip3--_binary64_423` `flip--_binary64_394` `distribute-lft-out--_binary64_371` `associate-l_binary64_360` `associate-r_binary64_359`
6×	`add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `frac-times_binary64_429` `unswap-sqr_binary64_387`
2×	`pow-prod-down_binary64_490` `pow-prod-up_binary64_489` `pow-sqr_binary64_392` `associate-l/_binary64_362` `associate-r/_binary64_361`
1×	`pow2_binary64_500` `pow-plus_binary64_482` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`

Counts

4 → 107

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
5.0ms	(cbrt.f64 (-.f64 1 y))
3.0ms	(cbrt.f64 (-.f64 1 y))
3.0ms	(cbrt.f64 (-.f64 1 y))

Compiler

Compiled 2781 to 1979 computations (28.8% saved)

series265.0ms (6.4%)

Error

0.0b

Counts

4 → 28

Calls

4 calls:

94.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
49.0ms	(cbrt.f64 (-.f64 1 y))
47.0ms	(cbrt.f64 (-.f64 1 y))
41.0ms	(cbrt.f64 (-.f64 1 y))

Compiler

Compiled 1498 to 1204 computations (19.6% saved)

simplify86.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4892	1745
1	4892	1745

prune187.0ms (4.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	133	7	140

Error

0.0b

Counts

140 → 7

Compiler

Compiled 3075 to 2111 computations (31.3% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 2)

rewrite185.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

33×	`cbrt-prod_binary64_450`
23×	`add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
12×	`unpow-prod-down_binary64_498`
11×	`add-cube-cbrt_binary64_454`
8×	`difference-of-squares_binary64_388`
6×	`cbrt-div_binary64_451`
5×	`pow1_binary64_480` `add-exp-log_binary64_457`
4×	`distribute-lft-out--_binary64_371` `pow1/3_binary64_501` `add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
3×	`pow-unpow_binary64_496` `flip3--_binary64_423` `flip--_binary64_394`
2×	`pow-pow_binary64_491`
1×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `unpow2_binary64_484` `sqr-pow_binary64_391`

Counts

4 → 76

Calls

4 calls:

6.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 2)
4.0ms	(cbrt.f64 (-.f64 1 y))
3.0ms	(cbrt.f64 (-.f64 1 y))
3.0ms	(cbrt.f64 (-.f64 1 y))

Compiler

Compiled 2584 to 1972 computations (23.7% saved)

series301.0ms (7.3%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

100.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 2)
53.0ms	(cbrt.f64 (-.f64 1 y))
53.0ms	(cbrt.f64 (-.f64 1 y))
49.0ms	(cbrt.f64 (-.f64 1 y))

Compiler

Compiled 1986 to 1635 computations (17.7% saved)

simplify61.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5001	1230

prune201.0ms (4.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	101	8	109

Error

0.0b

Counts

109 → 8

Compiler

Compiled 3275 to 2451 computations (25.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 y (*.f64 y y))
5.0b	(.f64 (-.f64 y (.f64 y y)) x)

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`add-sqr-sqrt_binary64_441`
6×	`*-un-lft-identity_binary64_419`
5×	`associate-l_binary64_360`
4×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454`
3×	`associate-r_binary64_359`
2×	`flip3--_binary64_423` `associate-*l/_binary64_362` `flip--_binary64_394` `difference-of-squares_binary64_388` `distribute-rgt-out--_binary64_373`
1×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350` `diff-log_binary64_511` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`

Counts

2 → 36

Calls

2 calls:

6.0ms	(.f64 (-.f64 y (.f64 y y)) x)
3.0ms	(-.f64 y (*.f64 y y))

Compiler

Compiled 503 to 123 computations (75.5% saved)

series181.0ms (4.4%)

Error

0.0b

Counts

2 → 15

Calls

2 calls:

126.0ms	(.f64 (-.f64 y (.f64 y y)) x)
47.0ms	(-.f64 y (*.f64 y y))

Compiler

Compiled 275 to 208 computations (24.4% saved)

simplify68.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5165	545

prune32.0ms (0.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	51	8	59

Error

0.0b

Counts

59 → 8

Compiler

Compiled 536 to 130 computations (75.7% saved)

regimes237.0ms (5.8%)

Accuracy

Total 0.1b remaining (92.1%)

Threshold costs 0.1b (92.1%)

Compiler

Compiled 2182 to 1761 computations (19.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	13
1	67	13

end0.0ms (0%)

sample1.2s (29.9%)

Algorithm

1×

intervals

Results

174.0ms	8000×	body	128	valid
70.0ms	2676×	body	128	invalid

Compiler

Compiled 714 to 576 computations (19.3% saved)

Details

analyze306.0ms (7.4%)

sample206.0ms (5%)

simplify17.0ms (0.4%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite45.0ms (1.1%)

series139.0ms (3.4%)

simplify66.0ms (1.6%)

prune30.0ms (0.7%)

localize8.0ms (0.2%)

rewrite200.0ms (4.9%)

series265.0ms (6.4%)

simplify86.0ms (2.1%)

prune187.0ms (4.5%)

localize15.0ms (0.4%)

rewrite185.0ms (4.5%)

series301.0ms (7.3%)

simplify61.0ms (1.5%)

prune201.0ms (4.9%)

localize5.0ms (0.1%)

rewrite35.0ms (0.9%)

series181.0ms (4.4%)

simplify68.0ms (1.6%)

prune32.0ms (0.8%)

regimes237.0ms (5.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (29.9%)

Profiling