Details

analyze1.4s (8.7%)

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
1.7%	98%	0.3%	13
2.5%	97.2%	0.3%	14

Compiler

Compiled 22 to 20 computations (9.1% saved)

sample43.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
8.0ms	139×	body	128	invalid

Compiler

Compiled 43 to 45 computations (-4.7% saved)

simplify266.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	5177	31

prune5.0ms (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 42 to 38 computations (9.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y 1) z)
0.0b	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
0.0b	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
0.0b	(*.f64 (-.f64 (+.f64 y t) 2) b)

rewrite55.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`associate-*l/_binary64_366`
23×	`flip3--_binary64_427` `flip--_binary64_398`
18×	`add-sqr-sqrt_binary64_445` `add-log-exp_binary64_462`
16×	`*-un-lft-identity_binary64_423`
13×	`associate-l_binary64_364`
12×	`frac-add_binary64_431` `frac-sub_binary64_432`
8×	`add-cube-cbrt_binary64_458` `pow1_binary64_484` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
6×	`diff-log_binary64_515` `associate-r_binary64_363`
4×	`associate--l+_binary64_360` `sub-neg_binary64_416` `associate-+l+_binary64_356` `cancel-sign-sub-inv_binary64_389`
3×	`distribute-lft-out--_binary64_375` `difference-of-squares_binary64_392` `sum-log_binary64_514`
2×	`pow-prod-down_binary64_494` `prod-exp_binary64_472` `*-commutative_binary64_354` `unswap-sqr_binary64_391` `cbrt-unprod_binary64_456`
1×	`flip-+_binary64_397` `associate-+l-_binary64_358` `associate--l-_binary64_361` `+-commutative_binary64_353` `distribute-lft-out_binary64_374` `flip3-+_binary64_426` `difference-of-sqr-1_binary64_393`

Counts

4 → 97

Calls

4 calls:

15.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
10.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
8.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
8.0ms	(*.f64 (-.f64 y 1) z)

series567.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

321.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
162.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
48.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
35.0ms	(*.f64 (-.f64 y 1) z)

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5218	4032

prune264.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	5	110

Merged error: 0.0b

Counts

110 → 5

Compiler

Compiled 6194 to 3983 computations (35.7% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))) (cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a))))
0.5b	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))
0.5b	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))
0.5b	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))

rewrite82.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

102×	`cbrt-div_binary64_455`
85×	`flip3--_binary64_427` `flip--_binary64_398`
74×	`associate-*l/_binary64_366`
68×	`frac-sub_binary64_432`
36×	`frac-times_binary64_433`
25×	`cbrt-prod_binary64_454`
23×	`add-sqr-sqrt_binary64_445`
15×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458`
11×	`pow1_binary64_484`
9×	`pow1/3_binary64_505`
6×	`associate-l_binary64_364` `swap-sqr_binary64_390` `associate-r/_binary64_365` `associate-r*_binary64_363` `add-exp-log_binary64_461`
4×	`add-cbrt-cube_binary64_459` `add-log-exp_binary64_462` `unswap-sqr_binary64_391`
2×	`pow-prod-down_binary64_494` `pow-sqr_binary64_396` `pow-prod-up_binary64_493`
1×	`prod-exp_binary64_472` `*-commutative_binary64_354` `pow-plus_binary64_486` `pow2_binary64_504` `cbrt-unprod_binary64_456`

Counts

4 → 139

Calls

4 calls:

21.0ms	(.f64 (cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))) (cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a))))
7.0ms	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))
7.0ms	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))
7.0ms	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))

series4.6s (28.1%)

Counts

4 → 12

Calls

4 calls:

1.6s	(.f64 (cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))) (cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a))))
1.0s	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))
998.0ms	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))
991.0ms	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))

simplify126.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4964	10624
1	4964	10624

prune835.0ms (5.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	151	5	156

Merged error: 0.0b

Counts

156 → 5

Compiler

Compiled 13376 to 8720 computations (34.8% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))
0.5b	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))
0.5b	(cbrt.f64 (cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))))
1.3b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))) 6)

rewrite46.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-div_binary64_455` `cbrt-prod_binary64_454`
15×	`flip3--_binary64_427` `flip--_binary64_398`
12×	`-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445` `associate-l/_binary64_366` `frac-sub_binary64_432`
9×	`unpow-prod-down_binary64_502`
5×	`pow1_binary64_484` `add-exp-log_binary64_461`
4×	`pow1/3_binary64_505` `add-cbrt-cube_binary64_459` `add-log-exp_binary64_462`
3×	`pow-unpow_binary64_500`
2×	`pow-pow_binary64_495`
1×	`pow-to-exp_binary64_492` `pow-exp_binary64_491` `sqr-pow_binary64_395`

Counts

4 → 78

Calls

4 calls:

11.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))) 6)
8.0ms	(cbrt.f64 (cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))))
7.0ms	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))
7.0ms	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))

series5.5s (33.6%)

Counts

4 → 12

Calls

4 calls:

2.3s	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))) 6)
1.2s	(cbrt.f64 (cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))))
1.0s	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))
992.0ms	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4931	3375
1	4931	3375

prune236.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	90	5	95

Merged error: 0.0b

Counts

95 → 5

Compiler

Compiled 4962 to 3342 computations (32.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 a (+.f64 (.f64 t a) (.f64 y z)))
0.0b	(+.f64 (.f64 t a) (.f64 y z))
0.0b	(+.f64 (-.f64 a (+.f64 (.f64 t a) (.f64 y z))) (*.f64 (-.f64 (+.f64 y t) 2) b))
0.0b	(*.f64 (-.f64 (+.f64 y t) 2) b)

rewrite42.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-log-exp_binary64_462`
15×	`*-un-lft-identity_binary64_423`
14×	`add-sqr-sqrt_binary64_445`
8×	`add-cube-cbrt_binary64_458`
6×	`associate-l_binary64_364` `cancel-sign-sub-inv_binary64_389` `pow1_binary64_484` `flip3--_binary64_427` `associate-*l/_binary64_366` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459` `flip--_binary64_398` `sum-log_binary64_514`
4×	`frac-add_binary64_431` `diff-log_binary64_515` `associate-+l+_binary64_356`
3×	`associate-r_binary64_363` `distribute-lft-out--_binary64_375`
2×	`sub-neg_binary64_416` `flip-+_binary64_397` `+-commutative_binary64_353` `flip3-+_binary64_426` `difference-of-squares_binary64_392`
1×	`pow-prod-down_binary64_494` `associate-+l-_binary64_358` `associate--r+_binary64_359` `prod-exp_binary64_472` `distribute-lft-out_binary64_374` `*-commutative_binary64_354` `unswap-sqr_binary64_391` `cbrt-unprod_binary64_456`

Counts

4 → 74

Calls

4 calls:

13.0ms	(+.f64 (-.f64 a (+.f64 (.f64 t a) (.f64 y z))) (*.f64 (-.f64 (+.f64 y t) 2) b))
10.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
6.0ms	(-.f64 a (+.f64 (.f64 t a) (.f64 y z)))
4.0ms	(+.f64 (.f64 t a) (.f64 y z))

series377.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

177.0ms	(+.f64 (-.f64 a (+.f64 (.f64 t a) (.f64 y z))) (*.f64 (-.f64 (+.f64 y t) 2) b))
84.0ms	(-.f64 a (+.f64 (.f64 t a) (.f64 y z)))
65.0ms	(+.f64 (.f64 t a) (.f64 y z))
50.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4983	1955
1	4983	1955

prune113.0ms (0.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	86	5	91

Merged error: 0.0b

Counts

91 → 5

Compiler

Compiled 2845 to 1233 computations (56.7% saved)

regimes124.0ms (0.8%)

Compiler: Compiled 1181 to 1048 computations (11.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	138	31
1	138	31

end0.0ms (0%)

sample1.3s (8.2%)

Algorithm

1×

intervals

Results

456.0ms	7993×	body	128	valid
249.0ms	4499×	body	128	invalid
1.0ms	4×	body	512	valid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 204 to 179 computations (12.3% saved)

Details

analyze1.4s (8.7%)

sample43.0ms (0.3%)

simplify266.0ms (1.6%)

prune5.0ms (0%)

localize14.0ms (0.1%)

rewrite55.0ms (0.3%)

series567.0ms (3.5%)

simplify80.0ms (0.5%)

prune264.0ms (1.6%)

localize22.0ms (0.1%)

rewrite82.0ms (0.5%)

series4.6s (28.1%)

simplify126.0ms (0.8%)

prune835.0ms (5.1%)

localize23.0ms (0.1%)

rewrite46.0ms (0.3%)

series5.5s (33.6%)

simplify72.0ms (0.4%)

prune236.0ms (1.4%)

localize12.0ms (0.1%)

rewrite42.0ms (0.3%)

series377.0ms (2.3%)

simplify75.0ms (0.5%)

prune113.0ms (0.7%)

regimes124.0ms (0.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (8.2%)

Profiling