Details

analyze1.5s (34.9%)

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

sample54.0ms (1.3%)

Algorithm

1×

intervals

Results

21.0ms	255×	body	80	valid
9.0ms	139×	body	80	invalid
0.0ms	1×	body	320	valid

simplify67.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4977	21
1	4977	21

prune9.0ms (0.2%)

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

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1.0) z)) (.f64 (-.f64 t 1.0) a)) (*.f64 (-.f64 (+.f64 y t) 2.0) b))
0.0b	(*.f64 (-.f64 y 1.0) z)
0.0b	(*.f64 (-.f64 t 1.0) a)
0.0b	(*.f64 (-.f64 (+.f64 y t) 2.0) b)

rewrite41.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`associate-*l/_binary64`
22×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `flip3--_binary64` `flip--_binary64`
16×	`associate-l_binary64`
13×	`add-log-exp_binary64`
12×	`frac-add_binary64`
10×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64`
8×	`frac-sub_binary64`
4×	`distribute-lft-out--_binary64`
3×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `sum-log_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `associate-+l+_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64` `+-commutative_binary64` `flip-+_binary64` `associate--l+_binary64`

Counts

4 → 95

Calls

4 calls:

14.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1.0) z)) (.f64 (-.f64 t 1.0) a)) (*.f64 (-.f64 (+.f64 y t) 2.0) b))
9.0ms	(*.f64 (-.f64 (+.f64 y t) 2.0) b)
7.0ms	(*.f64 (-.f64 t 1.0) a)
7.0ms	(*.f64 (-.f64 y 1.0) z)

series77.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1.0) z)) (.f64 (-.f64 t 1.0) a)) (*.f64 (-.f64 (+.f64 y t) 2.0) b))
10.0ms	(*.f64 (-.f64 (+.f64 y t) 2.0) b)
5.0ms	(*.f64 (-.f64 t 1.0) a)
5.0ms	(*.f64 (-.f64 y 1.0) z)

simplify55.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4970	2369
1	4970	2369

prune172.0ms (4.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	3	108

Merged error: 0.0b

Counts

108 → 3

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 t 1.0))
0.2b	(cbrt.f64 (-.f64 t 1.0))
0.2b	(cbrt.f64 (-.f64 t 1.0))
0.2b	(*.f64 (cbrt.f64 (-.f64 t 1.0)) (cbrt.f64 (-.f64 t 1.0)))

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_binary64`
6×	`add-exp-log_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 → 101

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 t 1.0)) (cbrt.f64 (-.f64 t 1.0)))
3.0ms	(cbrt.f64 (-.f64 t 1.0))
3.0ms	(cbrt.f64 (-.f64 t 1.0))
3.0ms	(cbrt.f64 (-.f64 t 1.0))

series44.0ms (1%)

Counts

4 → 12

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (-.f64 t 1.0)) (cbrt.f64 (-.f64 t 1.0)))
10.0ms	(cbrt.f64 (-.f64 t 1.0))
9.0ms	(cbrt.f64 (-.f64 t 1.0))
9.0ms	(cbrt.f64 (-.f64 t 1.0))

simplify42.0ms (1%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4985	1278
1	4985	1278

prune220.0ms (5.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0.0b

Counts

116 → 3

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 t 1.0) a)
0.0b	(*.f64 (-.f64 (+.f64 y t) 2.0) b)
3.5b	(.f64 z (-.f64 (.f64 y y) (*.f64 1.0 1.0)))
8.1b	(/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 1.0 1.0))) (+.f64 y 1.0))

rewrite38.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`associate-l_binary64`
12×	`add-cube-cbrt_binary64`
10×	`pow1_binary64` `associate-r_binary64`
4×	`associate-/r_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `prod-exp_binary64` `times-frac_binary64` `flip--_binary64` `associate-*l/_binary64`
3×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`

Counts

4 → 95

Calls

4 calls:

11.0ms	(/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 1.0 1.0))) (+.f64 y 1.0))
9.0ms	(*.f64 (-.f64 (+.f64 y t) 2.0) b)
8.0ms	(.f64 z (-.f64 (.f64 y y) (*.f64 1.0 1.0)))
7.0ms	(*.f64 (-.f64 t 1.0) a)

series47.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 1.0 1.0))) (+.f64 y 1.0))
13.0ms	(.f64 z (-.f64 (.f64 y y) (*.f64 1.0 1.0)))
8.0ms	(*.f64 (-.f64 (+.f64 y t) 2.0) b)
5.0ms	(*.f64 (-.f64 t 1.0) a)

simplify45.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5108	952

prune155.0ms (3.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Merged error: 0.0b

Counts

110 → 3

regimes481.0ms (11.4%)

Accuracy

Total 0.0b remaining (9.8%)

Threshold costs 0.0b (9.8%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	348	21
1	348	21

end0.0ms (0%)

sample1.1s (26.4%)

Algorithm

1×

intervals

Results

450.0ms	7992×	body	80	valid
246.0ms	4441×	body	80	invalid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	3×	body	160	valid

Details

analyze1.5s (34.9%)

sample54.0ms (1.3%)

simplify67.0ms (1.6%)

prune9.0ms (0.2%)

localize14.0ms (0.3%)

rewrite41.0ms (1%)

series77.0ms (1.8%)

simplify55.0ms (1.3%)

prune172.0ms (4.1%)

localize21.0ms (0.5%)

rewrite26.0ms (0.6%)

series44.0ms (1%)

simplify42.0ms (1%)

prune220.0ms (5.2%)

localize19.0ms (0.4%)

rewrite38.0ms (0.9%)

series47.0ms (1.1%)

simplify45.0ms (1.1%)

prune155.0ms (3.7%)

regimes481.0ms (11.4%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

end0.0ms (0%)

sample1.1s (26.4%)

Profiling