Details

analyze255.0ms (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	33×	body	128	nan
0.0ms	10×	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

prune190.0ms (4.2%)

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))

rewrite37.0ms (0.8%)

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:

6.0ms	(*.f64 y (sqrt.f64 z))
3.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

Compiler

Compiled 473 to 185 computations (60.9% saved)

series165.0ms (3.6%)

Error

0.1b

Counts

2 → 21

Calls

2 calls:

98.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
54.0ms	(*.f64 y (sqrt.f64 z))

Compiler

Compiled 438 to 359 computations (18% saved)

simplify84.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4832	481
1	4832	481

prune44.0ms (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 638 to 269 computations (57.8% saved)

localize8.0ms (0.2%)

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

rewrite107.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

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:

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)

series320.0ms (7%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

146.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
54.0ms	(sqrt.f64 (sqrt.f64 z))
54.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
52.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 659 to 531 computations (19.4% saved)

simplify84.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5186	879

prune89.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	101	5	106
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	104	8	112

Error

Counts

112 → 8

Compiler

Compiled 1732 to 645 computations (62.8% saved)

localize14.0ms (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)))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))

rewrite105.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

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:

8.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))
6.0ms	(*.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 (8.4%)

Error

Counts

4 → 30

Calls

4 calls:

134.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
115.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
67.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))
48.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 905 to 764 computations (15.6% saved)

simplify106.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4894	1247
1	4894	1247

prune101.0ms (2.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	110	8	118

Error

Counts

118 → 8

Compiler

Compiled 1792 to 920 computations (48.7% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 y (.f64 (pow.f64 z 1/4) (sqrt.f64 (sqrt.f64 z)))))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(.f64 y (.f64 (pow.f64 z 1/4) (sqrt.f64 (sqrt.f64 z))))
0.5b	(*.f64 (pow.f64 z 1/4) (sqrt.f64 (sqrt.f64 z)))

rewrite119.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-sqr-sqrt_binary64_7943`
28×	`sqrt-prod_binary64_7937`
19×	`add-exp-log_binary64_7959`
12×	`add-cube-cbrt_binary64_7956` `*-un-lft-identity_binary64_7921`
11×	`add-cbrt-cube_binary64_7957`
10×	`prod-exp_binary64_7970` `associate-l_binary64_7862` `associate-r_binary64_7861`
9×	`pow1_binary64_7982` `unswap-sqr_binary64_7889`
7×	`sqrt-pow1_binary64_7939`
6×	`add-log-exp_binary64_7960` `unpow-prod-down_binary64_8000`
4×	`cbrt-unprod_binary64_7954` `sqr-pow_binary64_7893`
3×	`pow1/2_binary64_8001`
2×	`pow-prod-up_binary64_7991` `pow-to-exp_binary64_7990` `pow-exp_binary64_7989` `*-commutative_binary64_7852` `rem-sqrt-square_binary64_7934`
1×	`pow-prod-down_binary64_7992` `sum-log_binary64_8012` `flip3-+_binary64_7924` `flip-+_binary64_7895` `+-commutative_binary64_7851`

Counts

4 → 88

Calls

4 calls:

9.0ms	(*.f64 (pow.f64 z 1/4) (sqrt.f64 (sqrt.f64 z)))
8.0ms	(.f64 y (.f64 (pow.f64 z 1/4) (sqrt.f64 (sqrt.f64 z))))
3.0ms	(+.f64 x (.f64 y (.f64 (pow.f64 z 1/4) (sqrt.f64 (sqrt.f64 z)))))
2.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 1804 to 982 computations (45.6% saved)

series245.0ms (5.4%)

Error

Counts

4 → 27

Calls

4 calls:

98.0ms	(+.f64 x (.f64 y (.f64 (pow.f64 z 1/4) (sqrt.f64 (sqrt.f64 z)))))
56.0ms	(.f64 y (.f64 (pow.f64 z 1/4) (sqrt.f64 (sqrt.f64 z))))
51.0ms	(sqrt.f64 (sqrt.f64 z))
24.0ms	(*.f64 (pow.f64 z 1/4) (sqrt.f64 (sqrt.f64 z)))

Compiler

Compiled 802 to 682 computations (15% saved)

simplify107.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4864	1453
1	4864	1453

prune98.0ms (2.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	115	8	123

Error

Counts

123 → 8

Compiler

Compiled 1806 to 981 computations (45.7% saved)

regimes502.0ms (11%)

Accuracy

Total 0.1b remaining (97.5%)

Threshold costs 0.1b (97.5%)

Compiler

Compiled 4887 to 3589 computations (26.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms (0%)

sample1.3s (29.3%)

Algorithm

1×

intervals

Results

314.0ms	8000×	body	128	valid
37.0ms	1103×	body	128	nan
20.0ms	414×	body	128	invalid

Compiler

Compiled 710 to 525 computations (26.1% saved)

Details

analyze255.0ms (5.6%)

sample22.0ms (0.5%)

simplify8.0ms (0.2%)

prune190.0ms (4.2%)

localize6.0ms (0.1%)

rewrite37.0ms (0.8%)

series165.0ms (3.6%)

simplify84.0ms (1.9%)

prune44.0ms (1%)

localize8.0ms (0.2%)

rewrite107.0ms (2.4%)

series320.0ms (7%)

simplify84.0ms (1.8%)

prune89.0ms (2%)

localize14.0ms (0.3%)

rewrite105.0ms (2.3%)

series381.0ms (8.4%)

simplify106.0ms (2.3%)

prune101.0ms (2.2%)

localize11.0ms (0.3%)

rewrite119.0ms (2.6%)

series245.0ms (5.4%)

simplify107.0ms (2.4%)

prune98.0ms (2.1%)

regimes502.0ms (11%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (29.3%)

Profiling