Details

analyze1.2s (20%)

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
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

Compiler

Compiled 12 to 12 computations (0% saved)

sample35.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	151×	body	128	invalid
9.0ms	256×	body	128	valid

Compiler

Compiled 23 to 29 computations (-26.1% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

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: 0.0b

Counts

2 → 1

Compiler

Compiled 22 to 22 computations (0% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`associate-+l+_binary64`

Counts

2 → 24

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

series199.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

130.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
69.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4966	546
1	4966	546

prune44.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0.0b

Counts

31 → 4

Compiler

Compiled 943 to 397 computations (57.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
1.3b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.3b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.3b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite37.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

14.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series997.0ms (17%)

Counts

4 → 12

Calls

4 calls:

305.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
238.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
236.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
217.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify87.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4938	2183
1	4938	2183

prune113.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

Compiler

Compiled 3751 to 733 computations (80.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)) (*.f64 a b))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.3b	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)
33.6b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))

rewrite35.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `cube-div_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64` `+-commutative_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

4 → 70

Calls

4 calls:

12.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)) (*.f64 a b))
6.0ms	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))
5.0ms	(+.f64 (.f64 x y) (.f64 z t))

series542.0ms (9.2%)

Counts

4 → 12

Calls

4 calls:

265.0ms	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)
138.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)) (*.f64 a b))
71.0ms	(+.f64 (.f64 x y) (.f64 z t))
68.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5146	1494

prune64.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	82	4	86

Merged error: 0.0b

Counts

86 → 4

Compiler

Compiled 1631 to 438 computations (73.1% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.1b	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
1.4b	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
3.9b	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
35.2b	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))

rewrite64.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64`
16×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
15×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `associate-+r+_binary64`
5×	`distribute-lft-out_binary64` `sum-cubes_binary64` `associate-/l*_binary64`
4×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `cbrt-unprod_binary64` `associate-l*_binary64` `prod-exp_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `+-commutative_binary64` `sum-log_binary64`
1×	`flip3--_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 99

Calls

4 calls:

20.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))
11.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
10.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
9.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))

series936.0ms (15.9%)

Counts

4 → 12

Calls

4 calls:

334.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
303.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))
171.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
127.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))

simplify86.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5972	3991

prune160.0ms (2.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	111	4	115

Merged error: 0.0b

Counts

115 → 4

Compiler

Compiled 5097 to 1518 computations (70.2% saved)

regimes147.0ms (2.5%)

Compiler: Compiled 1056 to 814 computations (22.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	16
1	17	16

end0.0ms (0%)

sample950.0ms (16.2%)

Algorithm

1×

intervals

Results

295.0ms	8000×	body	128	valid
147.0ms	3925×	body	128	invalid

Compiler

Compiled 113 to 89 computations (21.2% saved)

Details

analyze1.2s (20%)

sample35.0ms (0.6%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize9.0ms (0.2%)

rewrite13.0ms (0.2%)

series199.0ms (3.4%)

simplify66.0ms (1.1%)

prune44.0ms (0.8%)

localize13.0ms (0.2%)

rewrite37.0ms (0.6%)

series997.0ms (17%)

simplify87.0ms (1.5%)

prune113.0ms (1.9%)

localize14.0ms (0.2%)

rewrite35.0ms (0.6%)

series542.0ms (9.2%)

simplify59.0ms (1%)

prune64.0ms (1.1%)

localize21.0ms (0.3%)

rewrite64.0ms (1.1%)

series936.0ms (15.9%)

simplify86.0ms (1.5%)

prune160.0ms (2.7%)

regimes147.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample950.0ms (16.2%)

Profiling