Details

analyze791.0ms (12.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample70.0ms (1.1%)

Algorithm

1×

intervals

Results

41.0ms	130×	body	2048	valid
15.0ms	69×	body	1024	valid
4.0ms	26×	body	512	valid
2.0ms	17×	body	256	valid
1.0ms	14×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4904	21
1	4904	21

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: 0.5b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.2b	(.f64 5 (.f64 v v))
0.4b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64` `difference-of-squares_binary64`
6×	`associate-/r*_binary64`
4×	`difference-of-sqr-1_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `associate-/l*_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`acos-asin_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

3 → 71

Calls

3 calls:

10.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
9.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series122.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

63.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
34.0ms	(.f64 5 (.f64 v v))
25.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4942	1788
1	4942	1788

prune110.0ms (1.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	2	81

Merged error: 0.4b

Counts

81 → 2

Compiler

Compiled 2139 to 1402 computations (34.5% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.4b	(acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `acos-asin_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`

Counts

1 → 8

Calls

1 calls:

1.0ms

(acos.f64 (+.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))

series22.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

21.0ms

(acos.f64 (+.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))

simplify144.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	4741	240
1	4741	240

prune17.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	10	1	11
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	11	2	13

Merged error: 0.4b

Counts

13 → 2

Compiler

Compiled 332 to 257 computations (22.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 (cbrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))) (cbrt.f64 (acos.f64 (+.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))))
1.0b	(cbrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
1.0b	(cbrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
1.0b	(cbrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_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`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))) (cbrt.f64 (acos.f64 (+.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))))
1.0ms	(cbrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
1.0ms	(cbrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
1.0ms	(cbrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))

series1.5s (23.8%)

Counts

4 → 12

Calls

4 calls:

472.0ms	(.f64 (cbrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))) (cbrt.f64 (acos.f64 (+.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))))
361.0ms	(cbrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
348.0ms	(cbrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
347.0ms	(cbrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))

simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4958	2202
1	4958	2202

prune259.0ms (4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	82	5	87

Merged error: 0.4b

Counts

87 → 5

Compiler

Compiled 4941 to 3937 computations (20.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)) 2)) (cbrt.f64 (acos.f64 (+.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))))
0.4b	(acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))
0.4b	(acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))
1.0b	(cbrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`cbrt-prod_binary64`
26×	`add-sqr-sqrt_binary64`
11×	`associate-l_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `unswap-sqr_binary64`
6×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64`
5×	`unpow2_binary64` `unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64` `sqr-pow_binary64`
2×	`pow-prod-down_binary64` `acos-asin_binary64`
1×	`cbrt-unprod_binary64` `rem-3cbrt-lft_binary64` `pow3_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 68

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)) 2)) (cbrt.f64 (acos.f64 (+.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))))
2.0ms	(acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))
2.0ms	(acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))
1.0ms	(cbrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))

series401.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

335.0ms	(cbrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
30.0ms	(.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)) 2)) (cbrt.f64 (acos.f64 (+.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))))
19.0ms	(acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))
17.0ms	(acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))

simplify93.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5127	2402

prune184.0ms (2.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	80	5	85

Merged error: 0.4b

Counts

85 → 5

Compiler

Compiled 3399 to 2730 computations (19.7% saved)

regimes20.0ms (0.3%)

Compiler: Compiled 221 to 181 computations (18.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	15	18

end0.0ms (0%)

sample2.3s (36.1%)

Algorithm

1×

intervals

Results

1.2s	3941×	body	2048	valid
438.0ms	2020×	body	1024	valid
158.0ms	1006×	body	512	valid
53.0ms	513×	body	256	valid
31.0ms	519×	body	128	valid
1.0ms	1×	body	4096	valid
0.0ms	9×	body	128	nan

Compiler

Compiled 246 to 201 computations (18.3% saved)

Details

analyze791.0ms (12.3%)

sample70.0ms (1.1%)

simplify76.0ms (1.2%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite26.0ms (0.4%)

series122.0ms (1.9%)

simplify72.0ms (1.1%)

prune110.0ms (1.7%)

localize10.0ms (0.2%)

rewrite2.0ms (0%)

series22.0ms (0.3%)

simplify144.0ms (2.2%)

prune17.0ms (0.3%)

localize12.0ms (0.2%)

rewrite21.0ms (0.3%)

series1.5s (23.8%)

simplify81.0ms (1.3%)

prune259.0ms (4%)

localize13.0ms (0.2%)

rewrite24.0ms (0.4%)

series401.0ms (6.2%)

simplify93.0ms (1.4%)

prune184.0ms (2.9%)

regimes20.0ms (0.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (36.1%)

Profiling