Details

analyze154.0ms (5.1%)

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)

sample24.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
4.0ms	33×	body	128	nan
1.0ms	14×	body	128	invalid

Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify97.0ms (3.2%)

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

0.1b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize6.0ms (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))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

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

series62.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

33.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
29.0ms	(*.f64 y (sqrt.f64 z))

simplify58.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4961	474
1	4961	474

prune41.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	7	40

Error

0.0b

Counts

40 → 7

Compiler

Compiled 614 to 288 computations (53.1% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))

rewrite27.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

series185.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

60.0ms	(sqrt.f64 (sqrt.f64 z))
56.0ms	(sqrt.f64 (sqrt.f64 z))
41.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
29.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

simplify88.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4909	1032
1	4909	1032

prune87.0ms (2.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	101	6	107

Error

0.0b

Counts

107 → 6

Compiler

Compiled 1744 to 654 computations (62.5% saved)

localize11.0ms (0.4%)

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))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))
0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))

rewrite27.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

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×	`sqrt-pow1_binary64_7939` `associate-l_binary64_7862` `cbrt-unprod_binary64_7954`
3×	`unswap-sqr_binary64_7889` `unpow-prod-down_binary64_8000`
2×	`pow-exp_binary64_7989` `pow-to-exp_binary64_7990` `rem-sqrt-square_binary64_7934` `pow1/2_binary64_8001` `*-commutative_binary64_7852`
1×	`+-commutative_binary64_7851` `flip3-+_binary64_7924` `sum-log_binary64_8012` `sqr-pow_binary64_7893` `flip-+_binary64_7895` `pow-prod-down_binary64_7992`

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))

series206.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))
54.0ms	(sqrt.f64 (sqrt.f64 z))
52.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
42.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))

simplify75.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4926	1333
1	4926	1333

prune88.0ms (2.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	92	6	98

Error

0.0b

Counts

98 → 6

Compiler

Compiled 1737 to 912 computations (47.5% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
0.3b	(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (*.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
0.4b	(.f64 (sqrt.f64 (sqrt.f64 z)) (.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))))

rewrite54.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

17.0ms	(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (*.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
12.0ms	(.f64 (sqrt.f64 (sqrt.f64 z)) (.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))))
8.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
2.0ms	(sqrt.f64 (sqrt.f64 z))

series213.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(.f64 (sqrt.f64 (sqrt.f64 z)) (.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))))
57.0ms	(sqrt.f64 (sqrt.f64 z))
48.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
31.0ms	(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) (*.f64 y (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))

simplify71.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4894	1517
1	4894	1517

prune108.0ms (3.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	114	7	121

Error

Counts

121 → 7

Compiler

Compiled 2467 to 839 computations (66% saved)

regimes304.0ms (10.1%)

Accuracy

Total 0.1b remaining (85.5%)

Threshold costs 0.1b (85.5%)

Compiler

Compiled 2724 to 2063 computations (24.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	12
1	12	12

end0.0ms (0%)

sample975.0ms (32.5%)

Algorithm

1×

intervals

Results

318.0ms	7999×	body	128	valid
39.0ms	1015×	body	128	nan
18.0ms	395×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 401 to 307 computations (23.4% saved)

Details

analyze154.0ms (5.1%)

sample24.0ms (0.8%)

simplify97.0ms (3.2%)

prune4.0ms (0.1%)

localize6.0ms (0.2%)

rewrite11.0ms (0.4%)

series62.0ms (2.1%)

simplify58.0ms (1.9%)

prune41.0ms (1.4%)

localize8.0ms (0.3%)

rewrite27.0ms (0.9%)

series185.0ms (6.2%)

simplify88.0ms (2.9%)

prune87.0ms (2.9%)

localize11.0ms (0.4%)

rewrite27.0ms (0.9%)

series206.0ms (6.9%)

simplify75.0ms (2.5%)

prune88.0ms (2.9%)

localize11.0ms (0.4%)

rewrite54.0ms (1.8%)

series213.0ms (7.1%)

simplify71.0ms (2.4%)

prune108.0ms (3.6%)

regimes304.0ms (10.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample975.0ms (32.5%)

Profiling