Details

analyze885.0ms (17.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample25.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
3.0ms	82×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify216.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	680	13
1	680	13

prune2.0ms (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: 9.4b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
9.4b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_10559` `add-cbrt-cube_binary64_10557`
6×	`*-un-lft-identity_binary64_10524`
4×	`add-sqr-sqrt_binary64_10545` `add-cube-cbrt_binary64_10556` `add-log-exp_binary64_10560`
3×	`times-frac_binary64_10530` `associate-/r*_binary64_10470`
2×	`pow1_binary64_10582` `div-exp_binary64_10572` `associate-*r/_binary64_10468` `associate-/l/_binary64_10473` `cbrt-undiv_binary64_10555`
1×	`flip--_binary64_10499` `flip3--_binary64_10528` `prod-exp_binary64_10570` `+-commutative_binary64_10456` `cbrt-unprod_binary64_10554` `associate-/l*_binary64_10471` `frac-2neg_binary64_10535` `distribute-lft-out_binary64_10477` `clear-num_binary64_10523` `sum-log_binary64_10612` `flip3-+_binary64_10527` `flip-+_binary64_10498` `div-inv_binary64_10521`

Counts

2 → 35

Calls

2 calls:

8.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
6.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

series227.0ms (4.4%)

Counts

2 → 6

Calls

2 calls:

114.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
113.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

simplify67.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4968	593
1	4968	593

prune42.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	33	8	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	9	42

Merged error: 0.0b

Counts

42 → 9

Compiler

Compiled 682 to 216 computations (68.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 a)
0.5b	(cbrt.f64 a)
0.5b	(cbrt.f64 a)
3.9b	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

rewrite41.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_10545`
40×	`times-frac_binary64_10530`
38×	`*-un-lft-identity_binary64_10524`
34×	`associate-r_binary64_10466`
26×	`cbrt-prod_binary64_10552` `add-cube-cbrt_binary64_10556`
25×	`add-exp-log_binary64_10559`
18×	`add-cbrt-cube_binary64_10557`
8×	`prod-exp_binary64_10570` `cbrt-unprod_binary64_10554`
7×	`div-exp_binary64_10572` `associate-l_binary64_10467` `cbrt-undiv_binary64_10555`
6×	`pow1_binary64_10582` `difference-of-squares_binary64_10493` `distribute-lft-out--_binary64_10478` `unswap-sqr_binary64_10492`
4×	`add-log-exp_binary64_10560`
3×	`pow1/3_binary64_10603`
2×	`div-inv_binary64_10521`
1×	`pow-prod-down_binary64_10592` `-commutative_binary64_10457` `associate-r/_binary64_10468` `frac-times_binary64_10534` `associate-*l/_binary64_10469`

Counts

4 → 104

Calls

4 calls:

25.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)

series675.0ms (13%)

Counts

4 → 12

Calls

4 calls:

239.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
152.0ms	(cbrt.f64 a)
144.0ms	(cbrt.f64 a)
140.0ms	(cbrt.f64 a)

simplify94.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4933	1665
1	4933	1665

prune111.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	116	9	125

Merged error: 0.0b

Counts

125 → 9

Compiler

Compiled 2421 to 745 computations (69.2% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 1))
5.3b	(*.f64 (/.f64 y a) (-.f64 z t))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_10545`
14×	`*-un-lft-identity_binary64_10524`
13×	`associate-l_binary64_10467`
10×	`times-frac_binary64_10530` `add-cube-cbrt_binary64_10556`
7×	`add-exp-log_binary64_10559` `add-cbrt-cube_binary64_10557`
5×	`associate-r_binary64_10466`
4×	`pow1_binary64_10582` `add-log-exp_binary64_10560`
2×	`sub-neg_binary64_10517` `flip--_binary64_10499` `flip3--_binary64_10528` `prod-exp_binary64_10570` `cbrt-unprod_binary64_10554` `associate-*r/_binary64_10468` `unswap-sqr_binary64_10492` `frac-times_binary64_10534`
1×	`pow-prod-down_binary64_10592` `+-commutative_binary64_10456` `-commutative_binary64_10457` `difference-of-squares_binary64_10493` `distribute-lft-out--_binary64_10478` `div-exp_binary64_10572` `distribute-lft-out_binary64_10477` `sum-log_binary64_10612` `flip3-+_binary64_10527` `distribute-lft-in_binary64_10475` `cbrt-undiv_binary64_10555` `associate-l/_binary64_10469` `flip-+_binary64_10498` `div-inv_binary64_10521` `distribute-rgt-in_binary64_10476`

Counts

2 → 52

Calls

2 calls:

11.0ms	(*.f64 (/.f64 y a) (-.f64 z t))
5.0ms	(+.f64 x (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 1))

series240.0ms (4.6%)

Counts

2 → 6

Calls

2 calls:

134.0ms	(*.f64 (/.f64 y a) (-.f64 z t))
106.0ms	(+.f64 x (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 1))

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4987	850
1	4987	850

prune56.0ms (1.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	58	9	67

Merged error: 0b

Counts

67 → 9

Compiler

Compiled 1078 to 400 computations (62.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.3b	(*.f64 (/.f64 y a) (-.f64 z t))
8.3b	(cbrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))
8.3b	(cbrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))
8.3b	(cbrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))

rewrite46.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_10545`
15×	`cbrt-div_binary64_10553`
14×	`*-un-lft-identity_binary64_10524`
13×	`associate-l_binary64_10467`
12×	`add-cube-cbrt_binary64_10556`
10×	`times-frac_binary64_10530`
9×	`add-exp-log_binary64_10559` `add-cbrt-cube_binary64_10557`
8×	`flip--_binary64_10499` `flip3--_binary64_10528` `associate-*r/_binary64_10468` `frac-times_binary64_10534`
6×	`pow1_binary64_10582`
5×	`associate-r_binary64_10466`
4×	`add-log-exp_binary64_10560` `associate-*l/_binary64_10469`
3×	`cbrt-prod_binary64_10552` `pow1/3_binary64_10603`
2×	`sub-neg_binary64_10517` `prod-exp_binary64_10570` `cbrt-unprod_binary64_10554` `unswap-sqr_binary64_10492`
1×	`pow-prod-down_binary64_10592` `*-commutative_binary64_10457` `difference-of-squares_binary64_10493` `distribute-lft-out--_binary64_10478` `div-exp_binary64_10572` `distribute-lft-in_binary64_10475` `cbrt-undiv_binary64_10555` `div-inv_binary64_10521` `distribute-rgt-in_binary64_10476`

Counts

4 → 82

Calls

4 calls:

11.0ms	(*.f64 (/.f64 y a) (-.f64 z t))
10.0ms	(cbrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))
8.0ms	(cbrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))
7.0ms	(cbrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))

series1.0s (19.6%)

Counts

4 → 12

Calls

4 calls:

304.0ms	(cbrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))
302.0ms	(cbrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))
289.0ms	(cbrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))
123.0ms	(*.f64 (/.f64 y a) (-.f64 z t))

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4973	1469
1	4973	1469

prune90.0ms (1.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	94	9	103

Merged error: 0b

Counts

103 → 9

Compiler

Compiled 3185 to 523 computations (83.6% saved)

regimes225.0ms (4.3%)

Compiler: Compiled 1341 to 1109 computations (17.3% saved)

bsearch1.0ms (0%)

Compiler: Compiled 5 to 7 computations (-40% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	63
1	40	63

end0.0ms (0%)

sample927.0ms (17.9%)

Algorithm

1×

intervals

Results

286.0ms	8000×	body	128	valid
93.0ms	2554×	body	128	invalid

Compiler

Compiled 228 to 164 computations (28.1% saved)

Details

analyze885.0ms (17.1%)

sample25.0ms (0.5%)

simplify216.0ms (4.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite16.0ms (0.3%)

series227.0ms (4.4%)

simplify67.0ms (1.3%)

prune42.0ms (0.8%)

localize11.0ms (0.2%)

rewrite41.0ms (0.8%)

series675.0ms (13%)

simplify94.0ms (1.8%)

prune111.0ms (2.1%)

localize9.0ms (0.2%)

rewrite21.0ms (0.4%)

series240.0ms (4.6%)

simplify54.0ms (1%)

prune56.0ms (1.1%)

localize12.0ms (0.2%)

rewrite46.0ms (0.9%)

series1.0s (19.6%)

simplify70.0ms (1.3%)

prune90.0ms (1.7%)

regimes225.0ms (4.3%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample927.0ms (17.9%)

Profiling