Details

analyze683.0ms (8.3%)

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
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample28.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
4.0ms	108×	body	128	invalid

Compiler

Compiled 27 to 27 computations (0% saved)

simplify134.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	704	19
1	704	19

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

Error

5.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

4.8b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
4.8b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`cancel-sign-sub-inv_binary64_19684`
11×	`add-sqr-sqrt_binary64_19740`
9×	`*-un-lft-identity_binary64_19718` `add-cube-cbrt_binary64_19753`
8×	`distribute-lft-in_binary64_19667` `pow1_binary64_19779` `associate--r+_binary64_19654` `add-exp-log_binary64_19756` `add-cbrt-cube_binary64_19754` `distribute-rgt-in_binary64_19668`
7×	`add-log-exp_binary64_19757`
6×	`sub-neg_binary64_19711`
4×	`associate-r_binary64_19658`
3×	`prod-exp_binary64_19767` `flip--_binary64_19693` `pow-prod-down_binary64_19789` `cbrt-unprod_binary64_19751` `flip3--_binary64_19722`
2×	`diff-log_binary64_19810` `difference-of-squares_binary64_19687` `associate-*r/_binary64_19660`
1×	`-commutative_binary64_19649` `associate-l*_binary64_19659`

Counts

3 → 64

Calls

6 calls:

14.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
5.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
4.0ms	(-.f64 (*.f64 z z) t)
0.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
0.0ms	(-.f64 (*.f64 z z) t)

series615.0ms (7.5%)

Counts

3 → 51

Calls

3 calls:

359.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
190.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
66.0ms	(-.f64 (*.f64 z z) t)

Compiler

Compiled 1066 to 1021 computations (4.2% saved)

simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4924	1628
1	4924	1628

prune115.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	108	7	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	108	8	116

Error

2.9b

Counts

116 → 8

Compiler

Compiled 1907 to 771 computations (59.6% saved)

localize15.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (.f64 (cbrt.f64 (.f64 (.f64 y 4) (-.f64 (.f64 z z) t))) (cbrt.f64 (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))) (cbrt.f64 (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))))
0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (*.f64 z z) t)
3.8b	(cbrt.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)))
4.8b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
4.8b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
4.8b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite51.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`pow1_binary64_19779` `add-exp-log_binary64_19756` `add-cbrt-cube_binary64_19754`
18×	`cancel-sign-sub-inv_binary64_19684`
16×	`add-sqr-sqrt_binary64_19740`
13×	`*-un-lft-identity_binary64_19718` `add-cube-cbrt_binary64_19753`
12×	`distribute-lft-in_binary64_19667` `associate-r_binary64_19658` `distribute-rgt-in_binary64_19668`
9×	`prod-exp_binary64_19767` `pow-prod-down_binary64_19789` `cbrt-unprod_binary64_19751`
8×	`associate-*r/_binary64_19660`
6×	`sub-neg_binary64_19711`
4×	`add-log-exp_binary64_19757` `flip--_binary64_19693` `flip3--_binary64_19722`
3×	`-commutative_binary64_19649` `associate-l*_binary64_19659` `difference-of-squares_binary64_19687`
2×	`cbrt-div_binary64_19750`
1×	`cbrt-prod_binary64_19749` `pow1/3_binary64_19800`

Counts

4 → 98

Calls

8 calls:

12.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
9.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
9.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
7.0ms	(cbrt.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)))
0.0ms	(-.f64 (*.f64 z z) t)

series1.1s (13.2%)

Counts

4 → 68

Calls

4 calls:

521.0ms	(cbrt.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)))
195.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
191.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
182.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

Compiler

Compiled 4456 to 3240 computations (27.3% saved)

simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5107	3161

prune294.0ms (3.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	164	2	166
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	164	10	174

Error

2.9b

Counts

174 → 10

Compiler

Compiled 7090 to 3282 computations (53.7% saved)

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (.f64 (cbrt.f64 (.f64 (.f64 y 4) (-.f64 (.f64 z z) t))) (cbrt.f64 (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))) (.f64 (cbrt.f64 (.f64 y 4)) (cbrt.f64 (-.f64 (.f64 z z) t)))))
0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (*.f64 z z) t)
3.8b	(cbrt.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)))
4.8b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
4.8b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
5.4b	(cbrt.f64 (-.f64 (*.f64 z z) t))

rewrite44.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_19740` `pow1_binary64_19779` `add-exp-log_binary64_19756` `add-cbrt-cube_binary64_19754`
12×	`cancel-sign-sub-inv_binary64_19684`
11×	`*-un-lft-identity_binary64_19718` `add-cube-cbrt_binary64_19753`
8×	`distribute-lft-in_binary64_19667` `associate-r_binary64_19658` `distribute-rgt-in_binary64_19668`
6×	`prod-exp_binary64_19767` `pow-prod-down_binary64_19789` `cbrt-unprod_binary64_19751` `associate-*r/_binary64_19660`
5×	`cbrt-prod_binary64_19749`
4×	`add-log-exp_binary64_19757` `cbrt-div_binary64_19750` `sub-neg_binary64_19711` `flip--_binary64_19693` `flip3--_binary64_19722`
3×	`difference-of-squares_binary64_19687`
2×	`-commutative_binary64_19649` `associate-l*_binary64_19659` `pow1/3_binary64_19800`

Counts

4 → 83

Calls

8 calls:

10.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
9.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
9.0ms	(cbrt.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)))
4.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
0.0ms	(-.f64 (*.f64 z z) t)

series1.1s (12.8%)

Counts

4 → 68

Calls

4 calls:

511.0ms	(cbrt.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)))
186.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
182.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
178.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))

Compiler

Compiled 4573 to 3404 computations (25.6% saved)

simplify63.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5022	3259

prune264.0ms (3.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	151	10	161

Error

2.9b

Counts

161 → 10

Compiler

Compiled 6831 to 3154 computations (53.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 y (*.f64 t -4)))
0.0b	(-.f64 (.f64 x x) (.f64 y (*.f64 t -4)))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_19757`
1×	`add-sqr-sqrt_binary64_19740` `sub-neg_binary64_19711` `*-un-lft-identity_binary64_19718` `pow1_binary64_19779` `flip--_binary64_19693` `flip3--_binary64_19722` `diff-log_binary64_19810` `add-exp-log_binary64_19756` `add-cbrt-cube_binary64_19754` `add-cube-cbrt_binary64_19753` `cancel-sign-sub-inv_binary64_19684`

Counts

1 → 12

Calls

2 calls:

4.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 t -4)))
0.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 t -4)))

series149.0ms (1.8%)

Counts

1 → 18

Calls

1 calls:

149.0ms

(-.f64 (*.f64 x x) (*.f64 y (*.f64 t -4)))

Compiler

Compiled 199 to 239 computations (-20.1% saved)

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5314	396

prune19.0ms (0.2%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	26	4	30
Fresh	1	5	6
Picked	0	1	1
Done	0	3	3
Total	27	13	40

Error

2.9b

Counts

40 → 13

Compiler

Compiled 310 to 162 computations (47.7% saved)

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	1664	816
1	1664	816

regimes665.0ms (8.1%)

Accuracy

Total 0.7b remaining (20.7%)

Threshold costs 0.7b (20.7%)

Compiler

Compiled 6379 to 4936 computations (22.6% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	326	54
1	326	54

end0.0ms (0%)

sample2.6s (31.4%)

Algorithm

1×

intervals

Results

315.0ms	8000×	body	128	valid
110.0ms	2911×	body	128	invalid

Compiler

Compiled 1734 to 1313 computations (24.3% saved)

Pareto

0.20561895950808348

Details

analyze683.0ms (8.3%)

sample28.0ms (0.3%)

simplify134.0ms (1.6%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite28.0ms (0.3%)

series615.0ms (7.5%)

simplify78.0ms (1%)

prune115.0ms (1.4%)

localize15.0ms (0.2%)

rewrite51.0ms (0.6%)

series1.1s (13.2%)

simplify86.0ms (1%)

prune294.0ms (3.6%)

localize19.0ms (0.2%)

rewrite44.0ms (0.5%)

series1.1s (12.8%)

simplify63.0ms (0.8%)

prune264.0ms (3.2%)

localize6.0ms (0.1%)

rewrite5.0ms (0.1%)

series149.0ms (1.8%)

simplify68.0ms (0.8%)

prune19.0ms (0.2%)

simplify53.0ms (0.6%)

regimes665.0ms (8.1%)

bsearch1.0ms (0%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample2.6s (31.4%)

Profiling