Details

analyze378.0ms (6.4%)

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	16×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify276.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	274	10
1	274	10

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (*.f64 (-.f64 y x) z))

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_7325`
6×	`*-un-lft-identity_binary64_7303`
5×	`associate-l_binary64_7244`
4×	`add-cube-cbrt_binary64_7338` `add-exp-log_binary64_7341` `add-cbrt-cube_binary64_7339` `pow1_binary64_7364` `add-log-exp_binary64_7342`
3×	`associate-r_binary64_7243`
2×	`associate-*l/_binary64_7246`
1×	`pow-prod-down_binary64_7374` `flip3-+_binary64_7306` `flip3--_binary64_7307` `flip-+_binary64_7277` `difference-of-squares_binary64_7272` `*-commutative_binary64_7234` `flip--_binary64_7278` `distribute-lft-out--_binary64_7255` `+-commutative_binary64_7233` `cbrt-unprod_binary64_7336` `unswap-sqr_binary64_7271` `sum-log_binary64_7394` `prod-exp_binary64_7352`

Counts

2 → 33

Calls

2 calls:

11.0ms	(*.f64 (-.f64 y x) z)
6.0ms	(+.f64 x (*.f64 (-.f64 y x) z))

series142.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

82.0ms	(+.f64 x (*.f64 (-.f64 y x) z))
60.0ms	(*.f64 (-.f64 y x) z)

simplify52.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5137	448

prune69.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	34	5	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	6	40

Merged error: 0b

Counts

40 → 6

Compiler

Compiled 1189 to 511 computations (57% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
0.5b	(cbrt.f64 (-.f64 y x))
0.5b	(cbrt.f64 (-.f64 y x))
0.5b	(cbrt.f64 (-.f64 y x))

rewrite36.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_7334`
37×	`add-sqr-sqrt_binary64_7325`
35×	`*-un-lft-identity_binary64_7303`
18×	`cbrt-div_binary64_7335`
15×	`add-cube-cbrt_binary64_7338`
11×	`pow1_binary64_7364`
10×	`swap-sqr_binary64_7270`
9×	`flip3--_binary64_7307` `flip--_binary64_7278` `distribute-lft-out--_binary64_7255` `pow1/3_binary64_7385`
8×	`associate-l_binary64_7244` `associate-r_binary64_7243`
7×	`difference-of-squares_binary64_7272`
6×	`add-exp-log_binary64_7341`
4×	`frac-times_binary64_7313` `add-cbrt-cube_binary64_7339` `unswap-sqr_binary64_7271` `add-log-exp_binary64_7342`
2×	`pow-prod-down_binary64_7374` `associate-r/_binary64_7245` `pow-sqr_binary64_7276` `associate-l/_binary64_7246` `pow-prod-up_binary64_7373`
1×	`pow-plus_binary64_7366` `*-commutative_binary64_7234` `cbrt-unprod_binary64_7336` `pow2_binary64_7384` `prod-exp_binary64_7352`

Counts

4 → 101

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
4.0ms	(cbrt.f64 (-.f64 y x))
4.0ms	(cbrt.f64 (-.f64 y x))
4.0ms	(cbrt.f64 (-.f64 y x))

series853.0ms (14.4%)

Counts

4 → 12

Calls

4 calls:

228.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
213.0ms	(cbrt.f64 (-.f64 y x))
210.0ms	(cbrt.f64 (-.f64 y x))
202.0ms	(cbrt.f64 (-.f64 y x))

simplify62.0ms (1%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5238	1620

prune118.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	113	6	119

Merged error: 0b

Counts

119 → 6

Compiler

Compiled 2919 to 812 computations (72.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
0.5b	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
0.5b	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 y x) z))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z))))

rewrite31.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_7334`
23×	`add-sqr-sqrt_binary64_7325`
18×	`cbrt-div_binary64_7335`
15×	`add-cube-cbrt_binary64_7338` `*-un-lft-identity_binary64_7303`
11×	`pow1_binary64_7364`
9×	`flip3-+_binary64_7306` `flip-+_binary64_7277` `pow1/3_binary64_7385`
6×	`add-exp-log_binary64_7341` `swap-sqr_binary64_7270` `associate-l_binary64_7244` `associate-r_binary64_7243`
4×	`frac-times_binary64_7313` `add-cbrt-cube_binary64_7339` `unswap-sqr_binary64_7271` `add-log-exp_binary64_7342`
2×	`pow-prod-down_binary64_7374` `associate-r/_binary64_7245` `pow-sqr_binary64_7276` `associate-l/_binary64_7246` `pow-prod-up_binary64_7373`
1×	`pow-plus_binary64_7366` `*-commutative_binary64_7234` `cbrt-unprod_binary64_7336` `pow2_binary64_7384` `prod-exp_binary64_7352`

Counts

4 → 87

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 y x) z))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))

series2.7s (44.7%)

Counts

4 → 12

Calls

4 calls:

1.0s	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 y x) z))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z))))
669.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
476.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
475.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))

simplify100.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5024	2347

prune98.0ms (1.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	99	6	105

Merged error: 0b

Counts

105 → 6

Compiler

Compiled 3334 to 489 computations (85.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z)))
0.1b	(.f64 (.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))
0.1b	(*.f64 (-.f64 y x) (sqrt.f64 z))

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_7325`
12×	`associate-r_binary64_7243`
10×	`add-exp-log_binary64_7341` `add-cbrt-cube_binary64_7339` `pow1_binary64_7364` `*-un-lft-identity_binary64_7303`
8×	`add-cube-cbrt_binary64_7338`
7×	`sqrt-prod_binary64_7319`
6×	`associate-l/_binary64_7246` `associate-l*_binary64_7244`
5×	`add-log-exp_binary64_7342`
4×	`pow-prod-down_binary64_7374` `cbrt-unprod_binary64_7336` `prod-exp_binary64_7352`
2×	`flip3--_binary64_7307` `*-commutative_binary64_7234` `flip--_binary64_7278` `unswap-sqr_binary64_7271`
1×	`flip3-+_binary64_7306` `flip-+_binary64_7277` `difference-of-squares_binary64_7272` `distribute-lft-out--_binary64_7255` `+-commutative_binary64_7233` `sum-log_binary64_7394`

Counts

3 → 60

Calls

3 calls:

11.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))
9.0ms	(*.f64 (-.f64 y x) (sqrt.f64 z))
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z)))

series262.0ms (4.4%)

Counts

3 → 9

Calls

3 calls:

96.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z)))
91.0ms	(*.f64 (-.f64 y x) (sqrt.f64 z))
74.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5156	872

prune42.0ms (0.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	69	6	75

Merged error: 0b

Counts

75 → 6

Compiler

Compiled 995 to 254 computations (74.5% saved)

regimes57.0ms (1%)

Compiler: Compiled 388 to 222 computations (42.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample530.0ms (8.9%)

Algorithm

1×

intervals

Results

212.0ms	8000×	body	128	valid
18.0ms	573×	body	128	invalid

Compiler

Compiled 107 to 64 computations (40.2% saved)

Details

analyze378.0ms (6.4%)

sample22.0ms (0.4%)

simplify276.0ms (4.7%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite21.0ms (0.3%)

series142.0ms (2.4%)

simplify52.0ms (0.9%)

prune69.0ms (1.2%)

localize9.0ms (0.2%)

rewrite36.0ms (0.6%)

series853.0ms (14.4%)

simplify62.0ms (1%)

prune118.0ms (2%)

localize10.0ms (0.2%)

rewrite31.0ms (0.5%)

series2.7s (44.7%)

simplify100.0ms (1.7%)

prune98.0ms (1.7%)

localize7.0ms (0.1%)

rewrite29.0ms (0.5%)

series262.0ms (4.4%)

simplify63.0ms (1.1%)

prune42.0ms (0.7%)

regimes57.0ms (1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample530.0ms (8.9%)

Profiling