Details

analyze262.0ms (5.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	48
1	79	48
0	3	3
1	3	3

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 (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	37×	body	128	nan
0.0ms	9×	body	128	invalid

Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	12
1	29	12

prune3.0ms (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

0.1b

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

rewrite41.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-sqr-sqrt_binary64_4192`
6×	`associate-r_binary64_4110`
5×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
4×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-log-exp_binary64_4209` `add-cbrt-cube_binary64_4206` `sqrt-prod_binary64_4186`
3×	`associate-l_binary64_4111`
2×	`unswap-sqr_binary64_4138`
1×	`pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `*-commutative_binary64_4101` `sum-log_binary64_4261` `flip3-+_binary64_4173` `flip-+_binary64_4144` `+-commutative_binary64_4100`

Counts

2 → 33

Calls

2 calls:

5.0ms	(*.f64 y (sqrt.f64 z))
3.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

Compiler

Compiled 473 to 185 computations (60.9% saved)

series162.0ms (3.5%)

Error

0.1b

Counts

2 → 21

Calls

2 calls:

100.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
51.0ms	(*.f64 y (sqrt.f64 z))

Compiler

Compiled 438 to 359 computations (18% saved)

simplify82.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4832	481
1	4832	481

prune44.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	48	6	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	7	55

Error

0.0b

Counts

55 → 7

Compiler

Compiled 656 to 280 computations (57.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(sqrt.f64 (sqrt.f64 z))
0.2b	(sqrt.f64 (sqrt.f64 z))
0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

rewrite104.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

41×	`sqrt-prod_binary64_4186`
25×	`add-sqr-sqrt_binary64_4192`
18×	`associate-r_binary64_4110`
15×	`pow1_binary64_4231` `add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
11×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
8×	`sqrt-pow1_binary64_4188`
4×	`pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `add-log-exp_binary64_4209` `cbrt-unprod_binary64_4203` `associate-l_binary64_4111` `pow1/2_binary64_4250` `rem-sqrt-square_binary64_4183`
3×	`unswap-sqr_binary64_4138`
2×	`*-commutative_binary64_4101`

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)

series303.0ms (6.5%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

141.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
53.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
49.0ms	(sqrt.f64 (sqrt.f64 z))
46.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 659 to 531 computations (19.4% saved)

simplify82.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5186	879

prune88.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	107	6	113

Error

0.0b

Counts

113 → 6

Compiler

Compiled 1689 to 619 computations (63.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
0.2b	(sqrt.f64 (sqrt.f64 z))
0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))

rewrite104.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`sqrt-prod_binary64_4186`
20×	`add-sqr-sqrt_binary64_4192`
19×	`add-exp-log_binary64_4208`
16×	`associate-r_binary64_4110`
12×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
11×	`add-cbrt-cube_binary64_4206`
10×	`prod-exp_binary64_4219`
8×	`pow1_binary64_4231`
6×	`add-log-exp_binary64_4209`
4×	`cbrt-unprod_binary64_4203` `associate-l_binary64_4111` `sqrt-pow1_binary64_4188`
3×	`unpow-prod-down_binary64_4249` `unswap-sqr_binary64_4138`
2×	`pow-to-exp_binary64_4239` `pow-exp_binary64_4238` `*-commutative_binary64_4101` `pow1/2_binary64_4250` `rem-sqrt-square_binary64_4183`
1×	`sqr-pow_binary64_4142` `pow-prod-down_binary64_4241` `sum-log_binary64_4261` `flip3-+_binary64_4173` `flip-+_binary64_4144` `+-commutative_binary64_4100`

Counts

4 → 80

Calls

4 calls:

9.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
3.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
2.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 1600 to 772 computations (51.8% saved)

series381.0ms (8.2%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

139.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
116.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
60.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))
49.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 905 to 764 computations (15.6% saved)

simplify103.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4894	1247
1	4894	1247

prune92.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	110	6	116

Error

0.0b

Counts

116 → 6

Compiler

Compiled 1749 to 893 computations (48.9% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z))))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite106.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `associate-r_binary64_4110` `sqrt-prod_binary64_4186`
12×	`add-cube-cbrt_binary64_4205` `add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
9×	`cbrt-prod_binary64_4201` `pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203`
4×	`add-log-exp_binary64_4209`
2×	`pow1/3_binary64_4252` `associate-l_binary64_4111` `*-commutative_binary64_4101`

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)

series599.0ms (12.8%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

228.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
199.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z))))
81.0ms	(cbrt.f64 z)
73.0ms	(cbrt.f64 z)

Compiler

Compiled 1124 to 929 computations (17.3% saved)

simplify68.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5109	1564

prune82.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	91	6	97

Error

0.0b

Counts

97 → 6

Compiler

Compiled 2040 to 562 computations (72.5% saved)

regimes459.0ms (9.8%)

Accuracy

Total 0.1b remaining (72.5%)

Threshold costs 0.1b (72.5%)

Compiler

Compiled 3949 to 3029 computations (23.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms (0%)

sample1.4s (30.6%)

Algorithm

1×

intervals

Results

308.0ms	8000×	body	128	valid
36.0ms	1097×	body	128	nan
13.0ms	377×	body	128	invalid

Compiler

Compiled 576 to 445 computations (22.7% saved)

Details

analyze262.0ms (5.6%)

sample22.0ms (0.5%)

simplify8.0ms (0.2%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite41.0ms (0.9%)

series162.0ms (3.5%)

simplify82.0ms (1.8%)

prune44.0ms (0.9%)

localize9.0ms (0.2%)

rewrite104.0ms (2.2%)

series303.0ms (6.5%)

simplify82.0ms (1.8%)

prune88.0ms (1.9%)

localize11.0ms (0.2%)

rewrite104.0ms (2.2%)

series381.0ms (8.2%)

simplify103.0ms (2.2%)

prune92.0ms (2%)

localize15.0ms (0.3%)

rewrite106.0ms (2.3%)

series599.0ms (12.8%)

simplify68.0ms (1.5%)

prune82.0ms (1.8%)

regimes459.0ms (9.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (30.6%)

Profiling