Details

analyze198.0ms (6%)

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)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	31×	body	128	nan
0.0ms	10×	body	128	invalid

Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify106.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	12
1	29	12

prune7.0ms (0.2%)

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

Merged error: 0.2b

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

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_6238`
6×	`associate-r_binary64_6156`
5×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251`
4×	`sqrt-prod_binary64_6232` `add-cbrt-cube_binary64_6252` `add-log-exp_binary64_6255` `pow1_binary64_6277` `add-exp-log_binary64_6254`
3×	`associate-l_binary64_6157`
2×	`unswap-sqr_binary64_6184`
1×	`prod-exp_binary64_6265` `flip-+_binary64_6190` `pow-prod-down_binary64_6287` `+-commutative_binary64_6146` `cbrt-unprod_binary64_6249` `flip3-+_binary64_6219` `*-commutative_binary64_6147` `sum-log_binary64_6307`

Counts

2 → 33

Calls

2 calls:

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

series67.0ms (2%)

Counts

2 → 6

Calls

2 calls:

36.0ms	(*.f64 y (sqrt.f64 z))
31.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

simplify61.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4961	474
1	4961	474

prune45.0ms (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

Merged error: 0.0b

Counts

40 → 7

Compiler

Compiled 611 to 288 computations (52.9% saved)

localize9.0ms (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)))

rewrite34.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`sqrt-prod_binary64_6232`
25×	`add-sqr-sqrt_binary64_6238`
18×	`associate-r_binary64_6156`
15×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `pow1_binary64_6277`
11×	`add-cbrt-cube_binary64_6252` `add-exp-log_binary64_6254`
8×	`sqrt-pow1_binary64_6234`
4×	`rem-sqrt-square_binary64_6229` `prod-exp_binary64_6265` `pow-prod-down_binary64_6287` `pow1/2_binary64_6296` `cbrt-unprod_binary64_6249` `associate-l_binary64_6157` `add-log-exp_binary64_6255`
3×	`unswap-sqr_binary64_6184`
2×	`*-commutative_binary64_6147`

Counts

4 → 88

Calls

4 calls:

12.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
3.0ms	(sqrt.f64 (sqrt.f64 z))
3.0ms	(sqrt.f64 (sqrt.f64 z))

series219.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

61.0ms	(sqrt.f64 (sqrt.f64 z))
60.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
59.0ms	(sqrt.f64 (sqrt.f64 z))
38.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

simplify115.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4909	1032
1	4909	1032

prune110.0ms (3.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	99	8	107

Merged error: 0.0b

Counts

107 → 8

Compiler

Compiled 1774 to 679 computations (61.7% saved)

localize11.0ms (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))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))
0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))

rewrite27.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`sqrt-prod_binary64_6232`
20×	`add-sqr-sqrt_binary64_6238`
19×	`add-exp-log_binary64_6254`
16×	`associate-r_binary64_6156`
12×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251`
11×	`add-cbrt-cube_binary64_6252`
10×	`prod-exp_binary64_6265`
8×	`pow1_binary64_6277`
6×	`add-log-exp_binary64_6255`
4×	`sqrt-pow1_binary64_6234` `cbrt-unprod_binary64_6249` `associate-l_binary64_6157`
3×	`unswap-sqr_binary64_6184` `unpow-prod-down_binary64_6295`
2×	`rem-sqrt-square_binary64_6229` `pow-to-exp_binary64_6285` `pow-exp_binary64_6284` `pow1/2_binary64_6296` `*-commutative_binary64_6147`
1×	`sqr-pow_binary64_6188` `flip-+_binary64_6190` `pow-prod-down_binary64_6287` `+-commutative_binary64_6146` `flip3-+_binary64_6219` `sum-log_binary64_6307`

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)))
4.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
2.0ms	(sqrt.f64 (sqrt.f64 z))

series246.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

66.0ms	(sqrt.f64 (sqrt.f64 z))
62.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4))
61.0ms	(+.f64 x (.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (pow.f64 z 1/4)))
57.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))

simplify79.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4926	1333
1	4926	1333

prune107.0ms (3.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	92	8	100

Merged error: 0.0b

Counts

100 → 8

Compiler

Compiled 1763 to 938 computations (46.8% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 z 1/4))))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.3b	(.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 z 1/4)))
0.5b	(*.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 z 1/4))

rewrite40.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_6238`
28×	`sqrt-prod_binary64_6232`
19×	`add-exp-log_binary64_6254`
12×	`-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `associate-l*_binary64_6157`
11×	`add-cbrt-cube_binary64_6252`
10×	`prod-exp_binary64_6265`
9×	`unswap-sqr_binary64_6184` `pow1_binary64_6277`
8×	`associate-r_binary64_6156`
7×	`sqrt-pow1_binary64_6234`
6×	`add-log-exp_binary64_6255` `unpow-prod-down_binary64_6295`
4×	`sqr-pow_binary64_6188` `cbrt-unprod_binary64_6249`
3×	`pow1/2_binary64_6296`
2×	`rem-sqrt-square_binary64_6229` `pow-to-exp_binary64_6285` `pow-exp_binary64_6284` `pow-prod-up_binary64_6286` `*-commutative_binary64_6147`
1×	`flip-+_binary64_6190` `pow-prod-down_binary64_6287` `+-commutative_binary64_6146` `flip3-+_binary64_6219` `sum-log_binary64_6307`

Counts

4 → 88

Calls

4 calls:

18.0ms	(*.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 z 1/4))
11.0ms	(.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 z 1/4)))
4.0ms	(+.f64 x (.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 z 1/4))))
2.0ms	(sqrt.f64 (sqrt.f64 z))

series201.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

62.0ms	(sqrt.f64 (sqrt.f64 z))
62.0ms	(.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 z 1/4)))
52.0ms	(+.f64 x (.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 z 1/4))))
24.0ms	(*.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 z 1/4))

simplify87.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4976	1635
1	4976	1635

prune119.0ms (3.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	100	8	108

Merged error: 0.0b

Counts

108 → 8

Compiler

Compiled 1878 to 1068 computations (43.1% saved)

regimes293.0ms (8.9%)

Compiler: Compiled 2115 to 1622 computations (23.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	12
1	12	12

end0.0ms (0%)

sample1.1s (32.1%)

Algorithm

1×

intervals

Results

374.0ms	8000×	body	128	valid
45.0ms	1077×	body	128	nan
21.0ms	396×	body	128	invalid

Compiler

Compiled 314 to 244 computations (22.3% saved)

Details

analyze198.0ms (6%)

sample19.0ms (0.6%)

simplify106.0ms (3.2%)

prune7.0ms (0.2%)

localize6.0ms (0.2%)

rewrite10.0ms (0.3%)

series67.0ms (2%)

simplify61.0ms (1.9%)

prune45.0ms (1.4%)

localize9.0ms (0.3%)

rewrite34.0ms (1%)

series219.0ms (6.7%)

simplify115.0ms (3.5%)

prune110.0ms (3.4%)

localize11.0ms (0.3%)

rewrite27.0ms (0.8%)

series246.0ms (7.5%)

simplify79.0ms (2.4%)

prune107.0ms (3.2%)

localize17.0ms (0.5%)

rewrite40.0ms (1.2%)

series201.0ms (6.1%)

simplify87.0ms (2.6%)

prune119.0ms (3.6%)

regimes293.0ms (8.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (32.1%)

Profiling