Details

analyze200.0ms (6.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	14
1	15	14
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%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample12.0ms (0.4%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

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

0.2b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x y) y)

rewrite24.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_6618` `add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593`
3×	`pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `associate-r_binary64_6497`
2×	`add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
1×	`add-log-exp_binary64_6596` `associate-l_binary64_6498` `*-commutative_binary64_6488`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 (*.f64 x y) y)

Compiler

Compiled 184 to 55 computations (70.1% saved)

series78.0ms (2.5%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

75.0ms

(*.f64 (*.f64 x y) y)

Compiler

Compiled 90 to 80 computations (11.1% saved)

simplify72.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5057	198

prune30.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	19	5	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	6	25

Error

0.0b

Counts

25 → 6

Compiler

Compiled 236 to 73 computations (69.1% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite66.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_6588`
23×	`add-sqr-sqrt_binary64_6579`
15×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
11×	`pow1_binary64_6618`
9×	`pow1/3_binary64_6639`
6×	`add-exp-log_binary64_6595` `swap-sqr_binary64_6524` `associate-l_binary64_6498` `associate-r_binary64_6497`
4×	`add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593` `unswap-sqr_binary64_6525`
2×	`pow-prod-down_binary64_6628` `pow-prod-up_binary64_6627` `pow-sqr_binary64_6530`
1×	`pow2_binary64_6638` `pow-plus_binary64_6620` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `*-commutative_binary64_6488`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1232 to 292 computations (76.3% saved)

series347.0ms (11.2%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

90.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
88.0ms	(cbrt.f64 y)
88.0ms	(cbrt.f64 y)
73.0ms	(cbrt.f64 y)

Compiler

Compiled 519 to 345 computations (33.5% saved)

simplify93.0ms (3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune76.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Error

0.0b

Counts

91 → 7

Compiler

Compiled 1296 to 378 computations (70.8% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

8.3b	(.f64 x (.f64 y y))

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_6618` `add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593`
3×	`pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `add-sqr-sqrt_binary64_6579` `associate-l_binary64_6498`
2×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
1×	`add-log-exp_binary64_6596` `unswap-sqr_binary64_6525` `associate-r_binary64_6497` `*-commutative_binary64_6488`

Counts

1 → 19

Calls

1 calls:

9.0ms

(*.f64 x (*.f64 y y))

Compiler

Compiled 193 to 56 computations (71% saved)

series67.0ms (2.2%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

62.0ms

(*.f64 x (*.f64 y y))

Compiler

Compiled 90 to 80 computations (11.1% saved)

simplify60.0ms (2%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5061	210

prune21.0ms (0.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	25	7	32

Error

0.0b

Counts

32 → 7

Compiler

Compiled 244 to 72 computations (70.5% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

8.3b	(.f64 x (.f64 y y))
20.4b	(cbrt.f64 (.f64 x (.f64 y y)))
20.4b	(cbrt.f64 (.f64 x (.f64 y y)))
20.4b	(cbrt.f64 (.f64 x (.f64 y y)))

rewrite73.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`pow1_binary64_6618` `add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593`
6×	`add-sqr-sqrt_binary64_6579`
5×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
4×	`add-log-exp_binary64_6596`
3×	`pow1/3_binary64_6639` `cbrt-prod_binary64_6588` `pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `associate-l_binary64_6498`
1×	`unswap-sqr_binary64_6525` `associate-r_binary64_6497` `*-commutative_binary64_6488`

Counts

4 → 46

Calls

4 calls:

6.0ms	(.f64 x (.f64 y y))
4.0ms	(cbrt.f64 (.f64 x (.f64 y y)))
4.0ms	(cbrt.f64 (.f64 x (.f64 y y)))
4.0ms	(cbrt.f64 (.f64 x (.f64 y y)))

Compiler

Compiled 1171 to 167 computations (85.7% saved)

series782.0ms (25.3%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

269.0ms	(cbrt.f64 (.f64 x (.f64 y y)))
216.0ms	(cbrt.f64 (.f64 x (.f64 y y)))
203.0ms	(cbrt.f64 (.f64 x (.f64 y y)))
66.0ms	(.f64 x (.f64 y y))

Compiler

Compiled 1755 to 968 computations (44.8% saved)

simplify116.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5036	665

prune65.0ms (2.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	70	7	77

Error

0.0b

Counts

77 → 7

Compiler

Compiled 1579 to 183 computations (88.4% saved)

regimes93.0ms (3%)

Accuracy

Total 0.1b remaining (82.1%)

Threshold costs 0.1b (82.1%)

Compiler

Compiled 875 to 454 computations (48.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample754.0ms (24.4%)

Algorithm

1×

intervals

Results

189.0ms	8000×	body	128	valid
4.0ms	191×	body	128	invalid

Compiler

Compiled 298 to 157 computations (47.3% saved)

Details

analyze200.0ms (6.5%)

sample12.0ms (0.4%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite24.0ms (0.8%)

series78.0ms (2.5%)

simplify72.0ms (2.3%)

prune30.0ms (1%)

localize8.0ms (0.2%)

rewrite66.0ms (2.1%)

series347.0ms (11.2%)

simplify93.0ms (3%)

prune76.0ms (2.4%)

localize7.0ms (0.2%)

rewrite19.0ms (0.6%)

series67.0ms (2.2%)

simplify60.0ms (2%)

prune21.0ms (0.7%)

localize13.0ms (0.4%)

rewrite73.0ms (2.4%)

series782.0ms (25.3%)

simplify116.0ms (3.8%)

prune65.0ms (2.1%)

regimes93.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample754.0ms (24.4%)

Profiling