Details

analyze1.4s (20.7%)

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)

sample40.0ms (0.6%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
8.0ms	159×	body	128	invalid

Compiler

Compiled 43 to 45 computations (-4.7% saved)

simplify278.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	5177	31

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite57.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

16.0ms	(+.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)
10.0ms	(*.f64 (-.f64 y 1) z)
8.0ms	(*.f64 (-.f64 t 1) a)

series436.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

315.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
45.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
39.0ms	(*.f64 (-.f64 t 1) a)
37.0ms	(*.f64 (-.f64 y 1) z)

simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4937	3486
1	4937	3486

prune305.0ms (4.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	109	4	113
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	109	5	114

Merged error: 0.0b

Counts

114 → 5

Compiler

Compiled 6332 to 4286 computations (32.3% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 y 1))
0.2b	(cbrt.f64 (-.f64 y 1))
0.2b	(cbrt.f64 (-.f64 y 1))
0.2b	(*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))

rewrite42.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`cbrt-prod_binary64_454`
55×	`add-sqr-sqrt_binary64_445`
44×	`*-un-lft-identity_binary64_423`
18×	`cbrt-div_binary64_455`
16×	`difference-of-squares_binary64_392`
15×	`add-cube-cbrt_binary64_458`
14×	`swap-sqr_binary64_390`
11×	`pow1_binary64_484`
10×	`associate-l_binary64_364` `associate-r_binary64_363`
9×	`pow1/3_binary64_505` `flip3--_binary64_427` `distribute-lft-out--_binary64_375` `difference-of-sqr-1_binary64_393` `flip--_binary64_398`
6×	`add-exp-log_binary64_461`
4×	`frac-times_binary64_433` `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` `associate-r/_binary64_365` `associate-l/_binary64_366`
1×	`prod-exp_binary64_472` `*-commutative_binary64_354` `pow-plus_binary64_486` `pow2_binary64_504` `cbrt-unprod_binary64_456`

Counts

4 → 115

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))
4.0ms	(cbrt.f64 (-.f64 y 1))
4.0ms	(cbrt.f64 (-.f64 y 1))
4.0ms	(cbrt.f64 (-.f64 y 1))

series214.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

65.0ms	(*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))
54.0ms	(cbrt.f64 (-.f64 y 1))
49.0ms	(cbrt.f64 (-.f64 y 1))
46.0ms	(cbrt.f64 (-.f64 y 1))

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5183	2112

prune278.0ms (4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	127	5	132

Merged error: 0.0b

Counts

132 → 5

Compiler

Compiled 5191 to 3568 computations (31.3% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*l/_binary64_366`
18×	`cbrt-div_binary64_455`
11×	`pow1_binary64_484`
10×	`add-sqr-sqrt_binary64_445`
9×	`pow1/3_binary64_505` `flip3--_binary64_427` `flip--_binary64_398`
8×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458`
7×	`cbrt-prod_binary64_454`
6×	`add-exp-log_binary64_461`
4×	`frac-times_binary64_433` `associate-l_binary64_364` `swap-sqr_binary64_390` `associate-r_binary64_363` `add-cbrt-cube_binary64_459` `add-log-exp_binary64_462`
2×	`pow-prod-down_binary64_494` `pow-sqr_binary64_396` `pow-prod-up_binary64_493` `associate-*r/_binary64_365`
1×	`prod-exp_binary64_472` `*-commutative_binary64_354` `pow-plus_binary64_486` `unswap-sqr_binary64_391` `pow2_binary64_504` `cbrt-unprod_binary64_456`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 t 1) a)) (cbrt.f64 (*.f64 (-.f64 t 1) a)))
6.0ms	(cbrt.f64 (*.f64 (-.f64 t 1) a))
6.0ms	(cbrt.f64 (*.f64 (-.f64 t 1) a))
6.0ms	(cbrt.f64 (*.f64 (-.f64 t 1) a))

series452.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

134.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 t 1) a)) (cbrt.f64 (*.f64 (-.f64 t 1) a)))
108.0ms	(cbrt.f64 (*.f64 (-.f64 t 1) a))
107.0ms	(cbrt.f64 (*.f64 (-.f64 t 1) a))
102.0ms	(cbrt.f64 (*.f64 (-.f64 t 1) a))

simplify88.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5247	1338

prune160.0ms (2.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

Compiler

Compiled 3456 to 2227 computations (35.6% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (/.f64 (.f64 a (-.f64 (pow.f64 t 3) 1)) (+.f64 (.f64 t t) (+.f64 (.f64 1 1) (.f64 t 1))))) (.f64 (-.f64 (+.f64 y t) 2) b))
0.0b	(+.f64 (.f64 t t) (+.f64 (.f64 1 1) (*.f64 t 1)))
2.6b	(*.f64 a (-.f64 (pow.f64 t 3) 1))
12.1b	(/.f64 (.f64 a (-.f64 (pow.f64 t 3) 1)) (+.f64 (.f64 t t) (+.f64 (.f64 1 1) (.f64 t 1))))

rewrite85.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_445`
18×	`*-un-lft-identity_binary64_423` `add-log-exp_binary64_462`
16×	`cancel-sign-sub-inv_binary64_389` `associate-r_binary64_363`
12×	`add-cube-cbrt_binary64_458` `associate-+l+_binary64_356`
11×	`add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
10×	`flip3--_binary64_427` `flip--_binary64_398`
8×	`frac-add_binary64_431` `associate-*l/_binary64_366` `difference-of-squares_binary64_392`
6×	`times-frac_binary64_429` `pow1_binary64_484` `sum-log_binary64_514`
4×	`distribute-rgt-in_binary64_373` `sub-neg_binary64_416` `distribute-lft-in_binary64_372` `flip-+_binary64_397` `associate-*r/_binary64_365` `associate-/r/_binary64_369` `flip3-+_binary64_426` `difference-of-sqr-1_binary64_393` `frac-sub_binary64_432`
3×	`associate-l_binary64_364` `diff-log_binary64_515` `cube-prod_binary64_451` `associate-/r*_binary64_367` `sqr-pow_binary64_395` `unpow-prod-down_binary64_502`
2×	`associate--l+_binary64_360` `prod-exp_binary64_472` `+-commutative_binary64_353` `associate-/l/_binary64_370` `div-inv_binary64_420` `cbrt-undiv_binary64_457` `div-exp_binary64_474` `cbrt-unprod_binary64_456`
1×	`pow-prod-down_binary64_494` `associate-+r+_binary64_355` `associate-+l-_binary64_358` `-commutative_binary64_354` `clear-num_binary64_422` `distribute-lft-out--_binary64_375` `frac-2neg_binary64_434` `unswap-sqr_binary64_391` `associate-/l_binary64_368`

Counts

4 → 113

Calls

4 calls:

25.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (/.f64 (.f64 a (-.f64 (pow.f64 t 3) 1)) (+.f64 (.f64 t t) (+.f64 (.f64 1 1) (.f64 t 1))))) (.f64 (-.f64 (+.f64 y t) 2) b))
19.0ms	(/.f64 (.f64 a (-.f64 (pow.f64 t 3) 1)) (+.f64 (.f64 t t) (+.f64 (.f64 1 1) (.f64 t 1))))
13.0ms	(*.f64 a (-.f64 (pow.f64 t 3) 1))
9.0ms	(+.f64 (.f64 t t) (+.f64 (.f64 1 1) (*.f64 t 1)))

series1.1s (16.1%)

Counts

4 → 12

Calls

4 calls:

773.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (/.f64 (.f64 a (-.f64 (pow.f64 t 3) 1)) (+.f64 (.f64 t t) (+.f64 (.f64 1 1) (.f64 t 1))))) (.f64 (-.f64 (+.f64 y t) 2) b))
217.0ms	(/.f64 (.f64 a (-.f64 (pow.f64 t 3) 1)) (+.f64 (.f64 t t) (+.f64 (.f64 1 1) (.f64 t 1))))
120.0ms	(*.f64 a (-.f64 (pow.f64 t 3) 1))
16.0ms	(+.f64 (.f64 t t) (+.f64 (.f64 1 1) (*.f64 t 1)))

simplify79.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5233	4408

prune281.0ms (4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	1	1
Picked	1	0	1
Done	1	2	3
Total	126	4	130

Merged error: 0.0b

Counts

130 → 4

Compiler

Compiled 5844 to 3595 computations (38.5% saved)

regimes90.0ms (1.3%)

Compiler: Compiled 732 to 672 computations (8.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	138	31
1	138	31

end0.0ms (0%)

sample1.3s (18.6%)

Algorithm

1×

intervals

Results

447.0ms	7998×	body	128	valid
255.0ms	4571×	body	128	invalid
0.0ms	2×	body	512	valid

Compiler

Compiled 163 to 144 computations (11.7% saved)

Details

analyze1.4s (20.7%)

sample40.0ms (0.6%)

simplify278.0ms (4%)

prune3.0ms (0%)

localize14.0ms (0.2%)

rewrite57.0ms (0.8%)

series436.0ms (6.2%)

simplify77.0ms (1.1%)

prune305.0ms (4.4%)

localize18.0ms (0.3%)

rewrite42.0ms (0.6%)

series214.0ms (3.1%)

simplify56.0ms (0.8%)

prune278.0ms (4%)

localize19.0ms (0.3%)

rewrite35.0ms (0.5%)

series452.0ms (6.4%)

simplify88.0ms (1.3%)

prune160.0ms (2.3%)

localize26.0ms (0.4%)

rewrite85.0ms (1.2%)

series1.1s (16.1%)

simplify79.0ms (1.1%)

prune281.0ms (4%)

regimes90.0ms (1.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (18.6%)

Profiling