Details

analyze684.0ms (14.4%)

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)

sample26.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
4.0ms	95×	body	128	invalid

Compiler

Compiled 27 to 27 computations (0% saved)

simplify219.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	665	19
1	665	19

prune2.0ms (0.1%)

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: 5.3b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
5.0b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_17297` `add-exp-log_binary64_17299` `pow1_binary64_17322`
5×	`sub-neg_binary64_17257`
4×	`add-log-exp_binary64_17300` `add-sqr-sqrt_binary64_17285` `associate-r_binary64_17206`
3×	`pow-prod-down_binary64_17332` `prod-exp_binary64_17310` `cbrt-unprod_binary64_17294` `*-un-lft-identity_binary64_17264` `add-cube-cbrt_binary64_17296`
2×	`flip--_binary64_17239` `distribute-lft-in_binary64_17215` `flip3--_binary64_17268` `distribute-rgt-in_binary64_17216` `associate--r+_binary64_17202` `associate-*r/_binary64_17208`
1×	`associate-l_binary64_17207` `difference-of-squares_binary64_17233` `*-commutative_binary64_17197` `diff-log_binary64_17353`

Counts

2 → 36

Calls

2 calls:

10.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
5.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))

series240.0ms (5.1%)

Counts

2 → 6

Calls

2 calls:

137.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
104.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5009	762

prune49.0ms (1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	35	7	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	7	43

Merged error: 2.0b

Counts

43 → 7

Compiler

Compiled 910 to 405 computations (55.5% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 y (.f64 4 (-.f64 (.f64 z z) t))))
5.3b	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`sub-neg_binary64_17257`
8×	`distribute-lft-in_binary64_17215` `distribute-rgt-in_binary64_17216`
7×	`add-cbrt-cube_binary64_17297` `add-exp-log_binary64_17299` `pow1_binary64_17322`
4×	`add-log-exp_binary64_17300` `associate--r+_binary64_17202` `associate-*r/_binary64_17208`
3×	`pow-prod-down_binary64_17332` `associate-l_binary64_17207` `prod-exp_binary64_17310` `cbrt-unprod_binary64_17294` `add-sqr-sqrt_binary64_17285` `*-un-lft-identity_binary64_17264` `add-cube-cbrt_binary64_17296`
2×	`flip--_binary64_17239` `flip3--_binary64_17268`
1×	`-commutative_binary64_17197` `associate-r*_binary64_17206` `diff-log_binary64_17353`

Counts

2 → 39

Calls

2 calls:

10.0ms	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))
5.0ms	(-.f64 (.f64 x x) (.f64 y (.f64 4 (-.f64 (.f64 z z) t))))

series239.0ms (5%)

Counts

2 → 6

Calls

2 calls:

134.0ms	(-.f64 (.f64 x x) (.f64 y (.f64 4 (-.f64 (.f64 z z) t))))
105.0ms	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4991	808
1	4991	808

prune43.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	45	7	52

Merged error: 2.0b

Counts

52 → 7

Compiler

Compiled 924 to 413 computations (55.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.7b	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t))))
1.7b	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t))))
5.0b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
5.0b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite41.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_17322`
14×	`add-cbrt-cube_binary64_17297` `add-exp-log_binary64_17299`
12×	`add-sqr-sqrt_binary64_17285`
8×	`-un-lft-identity_binary64_17264` `associate-r*_binary64_17206` `add-cube-cbrt_binary64_17296`
6×	`pow-prod-down_binary64_17332` `prod-exp_binary64_17310` `cbrt-unprod_binary64_17294` `sqrt-prod_binary64_17279`
4×	`sqrt-div_binary64_17280` `sub-neg_binary64_17257` `add-log-exp_binary64_17300` `flip--_binary64_17239` `flip3--_binary64_17268` `associate-*r/_binary64_17208`
2×	`pow1/2_binary64_17341` `associate-l_binary64_17207` `sqrt-pow1_binary64_17281` `difference-of-squares_binary64_17233` `distribute-lft-in_binary64_17215` `*-commutative_binary64_17197` `distribute-rgt-in_binary64_17216` `rem-sqrt-square_binary64_17277`

Counts

4 → 76

Calls

4 calls:

13.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
10.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
4.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t))))
4.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t))))

series696.0ms (14.7%)

Counts

4 → 12

Calls

4 calls:

256.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t))))
242.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t))))
101.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
97.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4922	1640
1	4922	1640

prune109.0ms (2.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	87	8	95

Merged error: 2.0b

Counts

95 → 8

Compiler

Compiled 3167 to 1328 computations (58.1% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

5.0b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
5.3b	(cbrt.f64 (-.f64 (*.f64 z z) t))
5.3b	(cbrt.f64 (-.f64 (*.f64 z z) t))
5.3b	(cbrt.f64 (-.f64 (*.f64 z z) t))

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_17285` `cbrt-prod_binary64_17292`
9×	`add-cbrt-cube_binary64_17297` `add-exp-log_binary64_17299` `pow1_binary64_17322`
8×	`*-un-lft-identity_binary64_17264` `add-cube-cbrt_binary64_17296`
6×	`cbrt-div_binary64_17293`
4×	`add-log-exp_binary64_17300` `difference-of-squares_binary64_17233` `flip--_binary64_17239` `flip3--_binary64_17268` `associate-r_binary64_17206`
3×	`pow-prod-down_binary64_17332` `pow1/3_binary64_17343` `prod-exp_binary64_17310` `cbrt-unprod_binary64_17294`
2×	`sub-neg_binary64_17257` `associate-*r/_binary64_17208`
1×	`associate-l_binary64_17207` `distribute-lft-in_binary64_17215` `*-commutative_binary64_17197` `distribute-rgt-in_binary64_17216`

Counts

4 → 65

Calls

4 calls:

10.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
5.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
5.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
5.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))

series444.0ms (9.4%)

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
116.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
115.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
89.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

simplify71.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5078	1145

prune119.0ms (2.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	77	8	85

Merged error: 2.0b

Counts

85 → 8

Compiler

Compiled 3800 to 1178 computations (69% saved)

regimes416.0ms (8.8%)

Compiler: Compiled 3726 to 2558 computations (31.3% saved)

bsearch1.0ms (0%)

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	323	54
1	323	54

end0.0ms (0%)

sample1.0s (21.9%)

Algorithm

1×

intervals

Results

311.0ms	8000×	body	128	valid
112.0ms	3015×	body	128	invalid

Compiler

Compiled 363 to 248 computations (31.7% saved)

Details

analyze684.0ms (14.4%)

sample26.0ms (0.6%)

simplify219.0ms (4.6%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite18.0ms (0.4%)

series240.0ms (5.1%)

simplify58.0ms (1.2%)

prune49.0ms (1%)

localize9.0ms (0.2%)

rewrite18.0ms (0.4%)

series239.0ms (5%)

simplify58.0ms (1.2%)

prune43.0ms (0.9%)

localize12.0ms (0.2%)

rewrite41.0ms (0.9%)

series696.0ms (14.7%)

simplify65.0ms (1.4%)

prune109.0ms (2.3%)

localize18.0ms (0.4%)

rewrite34.0ms (0.7%)

series444.0ms (9.4%)

simplify71.0ms (1.5%)

prune119.0ms (2.5%)

regimes416.0ms (8.8%)

bsearch1.0ms (0%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample1.0s (21.9%)

Profiling