Details

analyze877.0ms (11.9%)

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)

sample82.0ms (1.1%)

Algorithm

1×

intervals

Results

34.0ms	83×	body	2560	valid
28.0ms	98×	body	1280	valid
8.0ms	37×	body	640	valid
3.0ms	21×	body	320	valid
1.0ms	13×	body	160	valid
0.0ms	4×	body	80	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify123.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4884	21
1	4884	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)

localize10.0ms (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)))

rewrite21.0ms (0.3%)

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` `insert-posit16`
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 → 74

Calls

3 calls:

10.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
7.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series126.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

59.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
43.0ms	(.f64 5 (.f64 v v))
24.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify139.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4945	1841
1	4945	1841

prune95.0ms (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	2	84

Merged error: 0.4b

Counts

84 → 2

Compiler

Compiled 1812 to 1163 computations (35.8% saved)

localize8.0ms (0.1%)

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` `insert-posit16`

Counts

1 → 9

Calls

1 calls:

2.0ms

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

series21.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

21.0ms

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

simplify232.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 0 (214.0ms)

Iter	Nodes	Cost
0	5086	260

prune15.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	11	1	12
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	12	2	14

Merged error: 0.4b

Counts

14 → 2

Compiler

Compiled 246 to 194 computations (21.1% 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)))

rewrite13.0ms (0.2%)

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` `insert-posit16`
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 → 77

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 (20.3%)

Counts

4 → 12

Calls

4 calls:

463.0ms	(.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))))
352.0ms	(cbrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
340.0ms	(cbrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
338.0ms	(cbrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))

simplify134.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4849	2291
1	4849	2291

prune231.0ms (3.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	86	5	91

Merged error: 0.4b

Counts

91 → 5

Compiler

Compiled 4031 to 3195 computations (20.7% saved)

localize14.0ms (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)))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`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×	`unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `unpow2_binary64` `add-cbrt-cube_binary64` `insert-posit16`
3×	`pow1/3_binary64` `sqr-pow_binary64`
2×	`pow-prod-down_binary64` `acos-asin_binary64`
1×	`cbrt-unprod_binary64` `pow3_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

9.0ms	(.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)))

series414.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

346.0ms	(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))
19.0ms	(acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))

simplify126.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5189	2482

prune149.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	83	5	88

Merged error: 0.4b

Counts

88 → 5

Compiler

Compiled 2783 to 2225 computations (20.1% saved)

regimes22.0ms (0.3%)

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

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	18
1	15	18

end0.0ms (0%)

sample3.0s (40.4%)

Algorithm

1×

intervals

Results

1.2s	2927×	body	2560	valid
713.0ms	2488×	body	1280	valid
277.0ms	1303×	body	640	valid
98.0ms	633×	body	320	valid
49.0ms	455×	body	160	valid
12.0ms	194×	body	80	valid
0.0ms	9×	body	80	nan

Compiler

Compiled 246 to 201 computations (18.3% saved)

Details

analyze877.0ms (11.9%)

sample82.0ms (1.1%)

simplify123.0ms (1.7%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite21.0ms (0.3%)

series126.0ms (1.7%)

simplify139.0ms (1.9%)

prune95.0ms (1.3%)

localize8.0ms (0.1%)

rewrite2.0ms (0%)

series21.0ms (0.3%)

simplify232.0ms (3.2%)

prune15.0ms (0.2%)

localize12.0ms (0.2%)

rewrite13.0ms (0.2%)

series1.5s (20.3%)

simplify134.0ms (1.8%)

prune231.0ms (3.1%)

localize14.0ms (0.2%)

rewrite17.0ms (0.2%)

series414.0ms (5.6%)

simplify126.0ms (1.7%)

prune149.0ms (2%)

regimes22.0ms (0.3%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample3.0s (40.4%)

Profiling