Details

analyze210.0ms (4.1%)

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
25%	74.9%	0.1%	6
34.3%	40.6%	25.1%	7
35.9%	39%	25.1%	8
42.1%	32.8%	25.1%	9
42.9%	19.5%	37.6%	10
43.3%	19.1%	37.6%	11
45%	17.5%	37.6%	12
45.1%	10.3%	44.6%	13
45.2%	10.2%	44.6%	14

Compiler

Compiled 11 to 11 computations (0% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	34×	body	128	nan
1.0ms	15×	body	128	invalid

Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify106.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	12
1	29	12

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y (sqrt.f64 z)))
0.3b	(*.f64 y (sqrt.f64 z))

rewrite41.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-sqr-sqrt_binary64_3851`
6×	`associate-r_binary64_3769`
5×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
4×	`pow1_binary64_3890` `add-exp-log_binary64_3867` `add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865` `sqrt-prod_binary64_3845`
3×	`associate-l_binary64_3770`
2×	`unswap-sqr_binary64_3797`
1×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `*-commutative_binary64_3760` `sum-log_binary64_3920` `flip3-+_binary64_3832` `flip-+_binary64_3803` `+-commutative_binary64_3759`

Counts

2 → 33

Calls

2 calls:

9.0ms	(*.f64 y (sqrt.f64 z))
3.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

Compiler

Compiled 473 to 185 computations (60.9% saved)

series201.0ms (3.9%)

Error

0.2b

Counts

2 → 21

Calls

2 calls:

117.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
69.0ms	(*.f64 y (sqrt.f64 z))

Compiler

Compiled 438 to 359 computations (18% saved)

simplify102.0ms (2%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4832	481
1	4832	481

prune53.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	49	5	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	6	55

Error

0.0b

Counts

55 → 6

Compiler

Compiled 644 to 270 computations (58.1% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.4b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

rewrite120.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`sqrt-prod_binary64_3845`
25×	`add-sqr-sqrt_binary64_3851`
18×	`associate-r_binary64_3769`
15×	`pow1_binary64_3890` `add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
8×	`sqrt-pow1_binary64_3847`
4×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `add-log-exp_binary64_3868` `cbrt-unprod_binary64_3862` `associate-l_binary64_3770` `pow1/2_binary64_3909` `rem-sqrt-square_binary64_3842`
3×	`unswap-sqr_binary64_3797`
2×	`*-commutative_binary64_3760`

Counts

4 → 88

Calls

4 calls:

10.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
2.0ms	(sqrt.f64 (sqrt.f64 z))
2.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 1648 to 515 computations (68.8% saved)

series304.0ms (5.9%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

143.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
54.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
51.0ms	(sqrt.f64 (sqrt.f64 z))
44.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 659 to 531 computations (19.4% saved)

simplify92.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5186	879

prune98.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	102	4	106
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	105	7	112

Error

Counts

112 → 7

Compiler

Compiled 1706 to 634 computations (62.8% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z))))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(*.f64 y (pow.f64 z 1/4))
0.4b	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))

rewrite127.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-exp-log_binary64_3867` `add-sqr-sqrt_binary64_3851` `sqrt-prod_binary64_3845`
16×	`associate-r_binary64_3769`
12×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`add-cbrt-cube_binary64_3865`
10×	`prod-exp_binary64_3878`
8×	`pow1_binary64_3890`
6×	`add-log-exp_binary64_3868`
4×	`cbrt-unprod_binary64_3862` `associate-l_binary64_3770` `unpow-prod-down_binary64_3908` `sqrt-pow1_binary64_3847`
3×	`unswap-sqr_binary64_3797`
2×	`pow-to-exp_binary64_3898` `pow-exp_binary64_3897` `*-commutative_binary64_3760` `sqr-pow_binary64_3801` `pow1/2_binary64_3909` `rem-sqrt-square_binary64_3842`
1×	`pow-prod-down_binary64_3900` `sum-log_binary64_3920` `flip3-+_binary64_3832` `flip-+_binary64_3803` `+-commutative_binary64_3759`

Counts

4 → 80

Calls

4 calls:

17.0ms	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))
10.0ms	(*.f64 y (pow.f64 z 1/4))
7.0ms	(+.f64 x (.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z))))
4.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 1602 to 882 computations (44.9% saved)

series447.0ms (8.7%)

Error

Counts

4 → 30

Calls

4 calls:

185.0ms	(*.f64 y (pow.f64 z 1/4))
119.0ms	(+.f64 x (.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z))))
73.0ms	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))
52.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 918 to 768 computations (16.3% saved)

simplify68.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5088	1221

prune131.0ms (2.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	110	7	117

Error

Counts

117 → 7

Compiler

Compiled 1765 to 989 computations (44% saved)

localize28.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z))))
0.4b	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite115.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `associate-r_binary64_3769` `sqrt-prod_binary64_3845`
12×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829`
9×	`cbrt-prod_binary64_3860` `pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862`
4×	`add-log-exp_binary64_3868`
2×	`pow1/3_binary64_3911` `associate-l_binary64_3770` `*-commutative_binary64_3760`

Counts

4 → 73

Calls

4 calls:

14.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
8.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1948 to 509 computations (73.9% saved)

series698.0ms (13.6%)

Error

Counts

4 → 18

Calls

4 calls:

277.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
235.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z))))
87.0ms	(cbrt.f64 z)
80.0ms	(cbrt.f64 z)

Compiler

Compiled 1124 to 929 computations (17.3% saved)

simplify81.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5109	1564

prune96.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	91	7	98

Error

Counts

98 → 7

Compiler

Compiled 2040 to 562 computations (72.5% saved)

regimes485.0ms (9.5%)

Accuracy

Total 0.1b remaining (86.4%)

Threshold costs 0.1b (86.4%)

Compiler

Compiled 3921 to 2980 computations (24% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	12
1	12	12

end0.0ms (0%)

sample1.4s (28.2%)

Algorithm

1×

intervals

Results

367.0ms	8000×	body	128	valid
43.0ms	1073×	body	128	nan
23.0ms	437×	body	128	invalid

Compiler

Compiled 572 to 438 computations (23.4% saved)

Details

analyze210.0ms (4.1%)

sample22.0ms (0.4%)

simplify106.0ms (2.1%)

prune4.0ms (0.1%)

localize6.0ms (0.1%)

rewrite41.0ms (0.8%)

series201.0ms (3.9%)

simplify102.0ms (2%)

prune53.0ms (1%)

localize16.0ms (0.3%)

rewrite120.0ms (2.4%)

series304.0ms (5.9%)

simplify92.0ms (1.8%)

prune98.0ms (1.9%)

localize16.0ms (0.3%)

rewrite127.0ms (2.5%)

series447.0ms (8.7%)

simplify68.0ms (1.3%)

prune131.0ms (2.6%)

localize28.0ms (0.6%)

rewrite115.0ms (2.3%)

series698.0ms (13.6%)

simplify81.0ms (1.6%)

prune96.0ms (1.9%)

regimes485.0ms (9.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4s (28.2%)

Profiling