Details

analyze452.0ms (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)

sample43.0ms (0.5%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
2.0ms	37×	body	128	nan
1.0ms	9×	body	128	invalid

Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	29	12
1	29	12

prune6.0ms (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)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y (sqrt.f64 z)))
0.2b	(*.f64 y (sqrt.f64 z))

rewrite69.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-sqr-sqrt_binary64_7943`
6×	`associate-r_binary64_7861`
5×	`add-cube-cbrt_binary64_7956` `*-un-lft-identity_binary64_7921`
4×	`pow1_binary64_7982` `add-exp-log_binary64_7959` `add-log-exp_binary64_7960` `add-cbrt-cube_binary64_7957` `sqrt-prod_binary64_7937`
3×	`associate-l_binary64_7862`
2×	`unswap-sqr_binary64_7889`
1×	`pow-prod-down_binary64_7992` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `*-commutative_binary64_7852` `sum-log_binary64_8012` `flip3-+_binary64_7924` `flip-+_binary64_7895` `+-commutative_binary64_7851`

Counts

2 → 33

Calls

2 calls:

10.0ms	(*.f64 y (sqrt.f64 z))
5.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

Compiler

Compiled 473 to 185 computations (60.9% saved)

series268.0ms (3.3%)

Error

0.1b

Counts

2 → 21

Calls

2 calls:

168.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
80.0ms	(*.f64 y (sqrt.f64 z))

Compiler

Compiled 438 to 359 computations (18% saved)

simplify148.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4832	481
1	4832	481

prune82.0ms (1%)

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)

localize17.0ms (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)))

rewrite187.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

41×	`sqrt-prod_binary64_7937`
25×	`add-sqr-sqrt_binary64_7943`
18×	`associate-r_binary64_7861`
15×	`pow1_binary64_7982` `add-cube-cbrt_binary64_7956` `*-un-lft-identity_binary64_7921`
11×	`add-exp-log_binary64_7959` `add-cbrt-cube_binary64_7957`
8×	`sqrt-pow1_binary64_7939`
4×	`pow-prod-down_binary64_7992` `prod-exp_binary64_7970` `add-log-exp_binary64_7960` `cbrt-unprod_binary64_7954` `associate-l_binary64_7862` `pow1/2_binary64_8001` `rem-sqrt-square_binary64_7934`
3×	`unswap-sqr_binary64_7889`
2×	`*-commutative_binary64_7852`

Counts

4 → 88

Calls

4 calls:

17.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
12.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
3.0ms	(sqrt.f64 (sqrt.f64 z))
3.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 1648 to 515 computations (68.8% saved)

series504.0ms (6.3%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

237.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
90.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
75.0ms	(sqrt.f64 (sqrt.f64 z))
75.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 659 to 531 computations (19.4% saved)

simplify149.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	5186	879

prune161.0ms (2%)

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)

localize27.0ms (0.3%)

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))

rewrite184.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`sqrt-prod_binary64_7937`
20×	`add-sqr-sqrt_binary64_7943`
19×	`add-exp-log_binary64_7959`
16×	`associate-r_binary64_7861`
12×	`add-cube-cbrt_binary64_7956` `*-un-lft-identity_binary64_7921`
11×	`add-cbrt-cube_binary64_7957`
10×	`prod-exp_binary64_7970`
8×	`pow1_binary64_7982`
6×	`add-log-exp_binary64_7960`
4×	`cbrt-unprod_binary64_7954` `associate-l_binary64_7862` `sqrt-pow1_binary64_7939`
3×	`unpow-prod-down_binary64_8000` `unswap-sqr_binary64_7889`
2×	`pow-to-exp_binary64_7990` `pow-exp_binary64_7989` `*-commutative_binary64_7852` `pow1/2_binary64_8001` `rem-sqrt-square_binary64_7934`
1×	`sqr-pow_binary64_7893` `pow-prod-down_binary64_7992` `sum-log_binary64_8012` `flip3-+_binary64_7924` `flip-+_binary64_7895` `+-commutative_binary64_7851`

Counts

4 → 80

Calls

4 calls:

15.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))
12.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
6.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
4.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 1600 to 772 computations (51.8% saved)

series630.0ms (7.8%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

223.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
179.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
108.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))
87.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 905 to 764 computations (15.6% saved)

simplify185.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (152.0ms)

Iter	Nodes	Cost
0	4894	1247
1	4894	1247

prune171.0ms (2.1%)

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)

localize30.0ms (0.4%)

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)

rewrite178.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`pow1_binary64_7982` `add-exp-log_binary64_7959` `add-cbrt-cube_binary64_7957` `associate-r_binary64_7861` `sqrt-prod_binary64_7937`
12×	`add-cube-cbrt_binary64_7956` `add-sqr-sqrt_binary64_7943` `*-un-lft-identity_binary64_7921`
9×	`cbrt-prod_binary64_7952` `pow-prod-down_binary64_7992` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954`
4×	`add-log-exp_binary64_7960`
2×	`pow1/3_binary64_8003` `associate-l_binary64_7862` `*-commutative_binary64_7852`

Counts

4 → 73

Calls

4 calls:

25.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
14.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z))))
2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)

Compiler

Compiled 1948 to 509 computations (73.9% saved)

series1.0s (12.6%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

378.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
349.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (fabs.f64 (cbrt.f64 z))))
133.0ms	(cbrt.f64 z)
122.0ms	(cbrt.f64 z)

Compiler

Compiled 1124 to 929 computations (17.3% saved)

simplify116.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5109	1564

prune149.0ms (1.9%)

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)

regimes1.0s (12.9%)

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%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	12
1	12	12

end0.0ms (0%)

sample2.2s (27.4%)

Algorithm

1×

intervals

Results

534.0ms	8000×	body	128	valid
70.0ms	1097×	body	128	nan
24.0ms	377×	body	128	invalid

Compiler

Compiled 576 to 445 computations (22.7% saved)

Details

analyze452.0ms (5.6%)

sample43.0ms (0.5%)

simplify13.0ms (0.2%)

prune6.0ms (0.1%)

localize13.0ms (0.2%)

rewrite69.0ms (0.9%)

series268.0ms (3.3%)

simplify148.0ms (1.8%)

prune82.0ms (1%)

localize17.0ms (0.2%)

rewrite187.0ms (2.3%)

series504.0ms (6.3%)

simplify149.0ms (1.9%)

prune161.0ms (2%)

localize27.0ms (0.3%)

rewrite184.0ms (2.3%)

series630.0ms (7.8%)

simplify185.0ms (2.3%)

prune171.0ms (2.1%)

localize30.0ms (0.4%)

rewrite178.0ms (2.2%)

series1.0s (12.6%)

simplify116.0ms (1.4%)

prune149.0ms (1.9%)

regimes1.0s (12.9%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.2s (27.4%)

Profiling