Details

analyze911.0ms (25.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.3%	66.5%	0.2%	14

sample23.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify105.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4982	11
1	4982	11

prune8.0ms (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: 1.1b

Counts

2 → 1

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
1.4b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 102

Calls

2 calls:

14.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
13.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

series30.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

19.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
10.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

simplify51.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5083	1163

prune167.0ms (4.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	100	8	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	9	109

Merged error: 0b

Counts

109 → 9

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 z a))
0.5b	(cbrt.f64 (-.f64 z a))
0.5b	(cbrt.f64 (-.f64 z a))
0.5b	(*.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))

rewrite26.0ms (0.7%)

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:

11.0ms	(*.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))
3.0ms	(cbrt.f64 (-.f64 z a))
3.0ms	(cbrt.f64 (-.f64 z a))
3.0ms	(cbrt.f64 (-.f64 z a))

series122.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

35.0ms	(*.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))
31.0ms	(cbrt.f64 (-.f64 z a))
28.0ms	(cbrt.f64 (-.f64 z a))
28.0ms	(cbrt.f64 (-.f64 z a))

simplify44.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5305	1060

prune152.0ms (4.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	113	9	122

Merged error: 0b

Counts

122 → 9

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
0.4b	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
1.4b	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))

rewrite76.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

392×	`times-frac_binary64`
335×	`add-sqr-sqrt_binary64`
323×	`*-un-lft-identity_binary64`
157×	`add-cube-cbrt_binary64`
98×	`associate-r_binary64`
82×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
35×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
18×	`associate-/r/_binary64`
15×	`div-exp_binary64`
10×	`div-inv_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`associate-/l*_binary64`
7×	`cbrt-undiv_binary64` `prod-exp_binary64`
6×	`pow1_binary64`
5×	`unswap-sqr_binary64`
4×	`1-exp_binary64` `rec-exp_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `div-sub_binary64` `inv-pow_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

3 → 327

Calls

3 calls:

31.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))
15.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

series61.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

29.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))
21.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
10.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

simplify54.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5018	4366

prune366.0ms (10.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	334	2	336
Fresh	2	4	6
Picked	0	1	1
Done	1	1	2
Total	337	8	345

Merged error: 0b

Counts

345 → 8

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 z a))
8.8b	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
38×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-l_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `associate-r*_binary64`
4×	`pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
3×	`associate-/l*_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 85

Calls

2 calls:

13.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
6.0ms	(/.f64 y (-.f64 z a))

series36.0ms (1%)

Counts

2 → 6

Calls

2 calls:

28.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
8.0ms	(/.f64 y (-.f64 z a))

simplify54.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5978	882

prune85.0ms (2.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	91	8	99

Merged error: 0b

Counts

99 → 8

regimes540.0ms (15%)

Accuracy

Total 0.5b remaining (96.5%)

Threshold costs 0.5b (96.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	33
1	37	33

end0.0ms (0%)

sample586.0ms (16.3%)

Algorithm

1×

intervals

Results

303.0ms	7998×	body	80	valid
24.0ms	672×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

Details

analyze911.0ms (25.3%)

sample23.0ms (0.6%)

simplify105.0ms (2.9%)

prune8.0ms (0.2%)

localize8.0ms (0.2%)

rewrite31.0ms (0.9%)

series30.0ms (0.8%)

simplify51.0ms (1.4%)

prune167.0ms (4.7%)

localize16.0ms (0.5%)

rewrite26.0ms (0.7%)

series122.0ms (3.4%)

simplify44.0ms (1.2%)

prune152.0ms (4.2%)

localize10.0ms (0.3%)

rewrite76.0ms (2.1%)

series61.0ms (1.7%)

simplify54.0ms (1.5%)

prune366.0ms (10.2%)

localize8.0ms (0.2%)

rewrite21.0ms (0.6%)

series36.0ms (1%)

simplify54.0ms (1.5%)

prune85.0ms (2.4%)

regimes540.0ms (15%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample586.0ms (16.3%)

Profiling