Details

analyze1.3s (23.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.8%	98%	0.3%	13
2.4%	97.3%	0.3%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample32.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
5.0ms	112×	body	128	invalid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify174.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	81	19
1	81	19

prune5.0ms (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: 0.0b

Counts

2 → 2

Compiler

Compiled 69 to 62 computations (10.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y z))
0.0b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
5.1b	(.f64 (.f64 a z) b)

rewrite33.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-log-exp_binary64_19382`
10×	`sum-log_binary64_19434`
9×	`add-exp-log_binary64_19381` `pow1_binary64_19404` `add-cbrt-cube_binary64_19379`
5×	`*-un-lft-identity_binary64_19343` `add-sqr-sqrt_binary64_19365` `add-cube-cbrt_binary64_19378`
3×	`associate-r_binary64_19283` `pow-prod-down_binary64_19414` `cbrt-unprod_binary64_19376` `flip3-+_binary64_19346` `flip-+_binary64_19317` `+-commutative_binary64_19273` `prod-exp_binary64_19392`
2×	`associate-+l+_binary64_19276`
1×	`associate-l_binary64_19284` `*-commutative_binary64_19274`

Counts

4 → 56

Calls

4 calls:

10.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
6.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
6.0ms	(.f64 (.f64 a z) b)
3.0ms	(+.f64 x (*.f64 y z))

series393.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

188.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
102.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
56.0ms	(.f64 (.f64 a z) b)
47.0ms	(+.f64 x (*.f64 y z))

simplify55.0ms (1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4986	1027
1	4986	1027

prune73.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	67	3	70

Merged error: 0.0b

Counts

70 → 3

Compiler

Compiled 1632 to 479 computations (70.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 b)
0.7b	(cbrt.f64 b)
1.3b	(.f64 (.f64 (.f64 a z) (.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b))
4.0b	(.f64 (.f64 a z) (*.f64 (cbrt.f64 b) (cbrt.f64 b)))

rewrite35.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-exp-log_binary64_19381` `pow1_binary64_19404`
21×	`pow-prod-down_binary64_19414` `cbrt-unprod_binary64_19376` `prod-exp_binary64_19392` `add-cbrt-cube_binary64_19379`
9×	`cbrt-prod_binary64_19374`
8×	`*-un-lft-identity_binary64_19343` `add-sqr-sqrt_binary64_19365` `add-cube-cbrt_binary64_19378`
7×	`associate-r_binary64_19283`
4×	`add-log-exp_binary64_19382`
2×	`associate-l_binary64_19284` `*-commutative_binary64_19274` `pow1/3_binary64_19425`

Counts

4 → 74

Calls

4 calls:

14.0ms	(.f64 (.f64 (.f64 a z) (.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b))
11.0ms	(.f64 (.f64 a z) (*.f64 (cbrt.f64 b) (cbrt.f64 b)))
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)

series544.0ms (10%)

Counts

4 → 12

Calls

4 calls:

157.0ms	(.f64 (.f64 a z) (*.f64 (cbrt.f64 b) (cbrt.f64 b)))
151.0ms	(cbrt.f64 b)
147.0ms	(cbrt.f64 b)
89.0ms	(.f64 (.f64 (.f64 a z) (.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b))

simplify77.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4978	785
1	4978	785

prune73.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	86	3	89

Merged error: 0.0b

Counts

89 → 3

Compiler

Compiled 1937 to 437 computations (77.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
0.0b	(+.f64 t (*.f64 z b))
0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
3.2b	(.f64 a (+.f64 t (.f64 z b)))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-log-exp_binary64_19382`
8×	`*-un-lft-identity_binary64_19343` `add-sqr-sqrt_binary64_19365`
6×	`add-exp-log_binary64_19381` `pow1_binary64_19404` `add-cbrt-cube_binary64_19379` `add-cube-cbrt_binary64_19378`
5×	`sum-log_binary64_19434`
4×	`flip3-+_binary64_19346` `flip-+_binary64_19317`
3×	`associate-l_binary64_19284` `associate-r_binary64_19283` `associate-+r+_binary64_19275` `+-commutative_binary64_19273`
2×	`distribute-rgt-in_binary64_19293` `associate-*r/_binary64_19285` `distribute-lft-in_binary64_19292`
1×	`*-commutative_binary64_19274` `pow-prod-down_binary64_19414` `distribute-lft-out_binary64_19294` `unswap-sqr_binary64_19311` `cbrt-unprod_binary64_19376` `prod-exp_binary64_19392`

Counts

4 → 60

Calls

4 calls:

6.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
6.0ms	(.f64 a (+.f64 t (.f64 z b)))
4.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
3.0ms	(+.f64 t (*.f64 z b))

series456.0ms (8.3%)

Counts

4 → 12

Calls

4 calls:

189.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
112.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
109.0ms	(.f64 a (+.f64 t (.f64 z b)))
45.0ms	(+.f64 t (*.f64 z b))

simplify51.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4989	1193
1	4989	1193

prune85.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	71	4	75

Merged error: 0.0b

Counts

75 → 4

Compiler

Compiled 1854 to 676 computations (63.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 a (cbrt.f64 (pow.f64 (+.f64 t (*.f64 z b)) 3)))))
0.2b	(pow.f64 (+.f64 t (*.f64 z b)) 3)
3.2b	(.f64 a (cbrt.f64 (pow.f64 (+.f64 t (.f64 z b)) 3)))
33.6b	(cbrt.f64 (pow.f64 (+.f64 t (*.f64 z b)) 3))

rewrite37.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`cbrt-prod_binary64_19374`
24×	`add-sqr-sqrt_binary64_19365`
17×	`*-un-lft-identity_binary64_19343`
15×	`associate-r_binary64_19283` `add-cube-cbrt_binary64_19378`
10×	`cube-prod_binary64_19371` `unpow-prod-down_binary64_19422`
9×	`add-log-exp_binary64_19382`
7×	`add-exp-log_binary64_19381` `pow1_binary64_19404`
6×	`add-cbrt-cube_binary64_19379` `cube-div_binary64_19372`
5×	`unswap-sqr_binary64_19311`
4×	`cbrt-div_binary64_19375` `sqr-pow_binary64_19315` `flip3-+_binary64_19346` `flip-+_binary64_19317`
3×	`cube-mult_binary64_19373` `pow-unpow_binary64_19420` `associate-l_binary64_19284` `sum-log_binary64_19434` `unpow3_binary64_19409`
2×	`associate-*r/_binary64_19285`
1×	`rem-cube-cbrt_binary64_19366` `pow-exp_binary64_19411` `associate-+r+_binary64_19275` `*-commutative_binary64_19274` `pow-prod-down_binary64_19414` `pow1/3_binary64_19425` `distribute-lft-out_binary64_19294` `rem-cbrt-cube_binary64_19367` `pow-pow_binary64_19415` `cbrt-unprod_binary64_19376` `pow-to-exp_binary64_19412` `+-commutative_binary64_19273` `prod-exp_binary64_19392`

Counts

4 → 98

Calls

4 calls:

12.0ms	(.f64 a (cbrt.f64 (pow.f64 (+.f64 t (.f64 z b)) 3)))
7.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (cbrt.f64 (pow.f64 (+.f64 t (*.f64 z b)) 3)))))
5.0ms	(pow.f64 (+.f64 t (*.f64 z b)) 3)
5.0ms	(cbrt.f64 (pow.f64 (+.f64 t (*.f64 z b)) 3))

series516.0ms (9.5%)

Counts

4 → 12

Calls

4 calls:

203.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (cbrt.f64 (pow.f64 (+.f64 t (*.f64 z b)) 3)))))
148.0ms	(pow.f64 (+.f64 t (*.f64 z b)) 3)
117.0ms	(.f64 a (cbrt.f64 (pow.f64 (+.f64 t (.f64 z b)) 3)))
48.0ms	(cbrt.f64 (pow.f64 (+.f64 t (*.f64 z b)) 3))

simplify67.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4966	1700
1	4966	1700

prune93.0ms (1.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	110	4	114

Merged error: 0.0b

Counts

114 → 4

Compiler

Compiled 2281 to 685 computations (70% saved)

regimes109.0ms (2%)

Compiler: Compiled 469 to 476 computations (-1.5% saved)

bsearch48.0ms (0.9%)

Steps

Iters	Range		Point
9	1.5142097690956138e-60	2.1423820901491444e-51	3.2620424414684937e-59
6	-8.865952801941815e+44	-5.69128944263969e+43	-1.7112248657775219e+44

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	55
1	41	55

end0.0ms (0%)

sample1.1s (20.9%)

Algorithm

1×

intervals

Results

369.0ms	8000×	body	128	valid
179.0ms	3938×	body	128	invalid

Compiler

Compiled 161 to 123 computations (23.6% saved)

Details

analyze1.3s (23.6%)

sample32.0ms (0.6%)

simplify174.0ms (3.2%)

prune5.0ms (0.1%)

localize11.0ms (0.2%)

rewrite33.0ms (0.6%)

series393.0ms (7.2%)

simplify55.0ms (1%)

prune73.0ms (1.3%)

localize15.0ms (0.3%)

rewrite35.0ms (0.6%)

series544.0ms (10%)

simplify77.0ms (1.4%)

prune73.0ms (1.3%)

localize10.0ms (0.2%)

rewrite24.0ms (0.4%)

series456.0ms (8.3%)

simplify51.0ms (0.9%)

prune85.0ms (1.6%)

localize13.0ms (0.2%)

rewrite37.0ms (0.7%)

series516.0ms (9.5%)

simplify67.0ms (1.2%)

prune93.0ms (1.7%)

regimes109.0ms (2%)

bsearch48.0ms (0.9%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.1s (20.9%)

Profiling