Details

analyze169.0ms (5.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	68.7%	6.3%	5
25%	65.6%	9.5%	6
37.5%	39%	23.5%	7
37.5%	36.7%	25.9%	8
43.7%	20.7%	35.6%	9
43.7%	19.3%	37%	10
46.8%	10.6%	42.5%	11
46.8%	9.9%	43.3%	12
48.4%	5.4%	46.2%	13
48.4%	5%	46.6%	14

Compiler

Compiled 17 to 17 computations (0% saved)

sample29.0ms (0.9%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
1.0ms	15×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify100.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	54	23
1	54	23

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 1.0b

Counts

2 → 1

Compiler

Compiled 28 to 28 computations (0% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b	(*.f64 PI.f64 2/3)

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_2487`
14×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
9×	`times-frac_binary64_2471`
8×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
6×	`add-log-exp_binary64_2504` `div-sub_binary64_2470` `pow1_binary64_2526`
4×	`associate-+r-_binary64_2399`
3×	`acos-neg_binary64_2648` `associate-/r_binary64_2409` `associate-r_binary64_2405` `associate-/l_binary64_2410` `associate-l_binary64_2406` `acos-asin_binary64_2646` `distribute-frac-neg_binary64_2428`
2×	`cos-diff_binary64_2602`
1×	`flip3-+_binary64_2468` `*-commutative_binary64_2396` `+-commutative_binary64_2395` `sum-log_binary64_2556` `flip-+_binary64_2439` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `unswap-sqr_binary64_2433` `cos-sum_binary64_2599` `div-exp_binary64_2516` `div-inv_binary64_2462` `prod-exp_binary64_2514` `frac-2neg_binary64_2476` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`

Counts

4 → 70

Calls

4 calls:

7.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
7.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
4.0ms	(*.f64 PI.f64 2/3)
3.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

series109.0ms (3.3%)

Counts

4 → 10

Calls

4 calls:

68.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
26.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
14.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

simplify102.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5185	1420

prune85.0ms (2.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	3	81

Merged error: 0.9b

Counts

81 → 3

Compiler

Compiled 1610 to 960 computations (40.4% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
1.0b	(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
9×	`times-frac_binary64_2471`
4×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
3×	`associate-/r_binary64_2409` `associate-/l_binary64_2410`
2×	`add-log-exp_binary64_2504` `div-sub_binary64_2470` `pow1_binary64_2526` `acos-asin_binary64_2646`
1×	`clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `div-inv_binary64_2462` `frac-2neg_binary64_2476` `cos-diff_binary64_2602`

Counts

2 → 36

Calls

2 calls:

3.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
2.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))

series53.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

41.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
12.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify150.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	4749	641
1	4749	641

prune49.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	43	2	45

Merged error: 0b

Counts

45 → 2

Compiler

Compiled 775 to 515 computations (33.5% saved)

localize15.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b

(cos.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))

0.0b

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

0.0b

(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

rewrite37.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_2487`
51×	`times-frac_binary64_2471`
50×	`add-exp-log_binary64_2503`
36×	`*-un-lft-identity_binary64_2465`
33×	`add-cube-cbrt_binary64_2500`
24×	`cbrt-prod_binary64_2496`
22×	`associate-r_binary64_2405`
20×	`prod-exp_binary64_2514`
18×	`add-cbrt-cube_binary64_2501`
16×	`div-exp_binary64_2516`
9×	`unswap-sqr_binary64_2433`
8×	`cbrt-undiv_binary64_2499` `cbrt-unprod_binary64_2498`
7×	`associate-l_binary64_2406`
6×	`associate-/r*_binary64_2409`
5×	`pow1_binary64_2526`
4×	`rec-exp_binary64_2515` `1-exp_binary64_2509`
3×	`add-log-exp_binary64_2504` `div-inv_binary64_2462` `associate-/l*_binary64_2410`
1×	`associate-l/_binary64_2408` `-commutative_binary64_2396` `frac-times_binary64_2475` `associate-*r/_binary64_2407` `clear-num_binary64_2464` `div-sub_binary64_2470` `frac-2neg_binary64_2476` `pow-prod-down_binary64_2536` `acos-asin_binary64_2646`

Counts

3 → 117

Calls

3 calls:

18.0ms

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

5.0ms

(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

2.0ms

(cos.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))

series180.0ms (5.5%)

Counts

3 → 9

Calls

3 calls:

100.0ms

(cos.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))

50.0ms

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

30.0ms

(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

simplify119.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5016	2497

prune171.0ms (5.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	126	2	128

Merged error: 0b

Counts

128 → 2

Compiler

Compiled 3123 to 2298 computations (26.4% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(cos.f64 (cbrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 g h)) 3) 3)))
0.0b	(cbrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 g h)) 3) 3))
1.0b	(/.f64 (acos.f64 (/.f64 g h)) 3)
1.6b	(pow.f64 (/.f64 (acos.f64 (/.f64 g h)) 3) 3)

rewrite35.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`times-frac_binary64_2471`
42×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
32×	`cbrt-prod_binary64_2496`
26×	`cube-prod_binary64_2493` `unpow-prod-down_binary64_2544`
9×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
5×	`div-inv_binary64_2462` `pow1_binary64_2526`
4×	`add-log-exp_binary64_2504`
3×	`associate-/r_binary64_2409` `pow-unpow_binary64_2542` `associate-/l_binary64_2410`
2×	`rem-cube-cbrt_binary64_2488` `unpow3_binary64_2531` `cbrt-undiv_binary64_2499` `pow-exp_binary64_2533` `cube-mult_binary64_2495` `div-exp_binary64_2516` `sqr-pow_binary64_2437` `cube-div_binary64_2494`
1×	`clear-num_binary64_2464` `cbrt-div_binary64_2497` `div-sub_binary64_2470` `pow-to-exp_binary64_2534` `pow1/3_binary64_2547` `pow-pow_binary64_2537` `frac-2neg_binary64_2476` `rem-cbrt-cube_binary64_2489` `acos-asin_binary64_2646`

Counts

4 → 123

Calls

4 calls:

9.0ms	(cos.f64 (cbrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 g h)) 3) 3)))
6.0ms	(pow.f64 (/.f64 (acos.f64 (/.f64 g h)) 3) 3)
5.0ms	(cbrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 g h)) 3) 3))
4.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

series125.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(cos.f64 (cbrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 g h)) 3) 3)))
37.0ms	(pow.f64 (/.f64 (acos.f64 (/.f64 g h)) 3) 3)
21.0ms	(cbrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 g h)) 3) 3))
11.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify94.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5249	2178

prune142.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	135	2	137

Merged error: 0b

Counts

137 → 2

Compiler

Compiled 2641 to 1806 computations (31.6% saved)

regimes266.0ms (8.1%)

Compiler: Compiled 2228 to 2236 computations (-0.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	31
1	41	31

end0.0ms (0%)

sample1.2s (35.6%)

Algorithm

1×

intervals

Results

653.0ms	8000×	body	128	valid
38.0ms	550×	body	128	nan

Compiler

Compiled 234 to 236 computations (-0.9% saved)

Details

analyze169.0ms (5.2%)

sample29.0ms (0.9%)

simplify100.0ms (3.1%)

prune4.0ms (0.1%)

localize12.0ms (0.4%)

rewrite26.0ms (0.8%)

series109.0ms (3.3%)

simplify102.0ms (3.1%)

prune85.0ms (2.6%)

localize10.0ms (0.3%)

rewrite11.0ms (0.3%)

series53.0ms (1.6%)

simplify150.0ms (4.6%)

prune49.0ms (1.5%)

localize15.0ms (0.5%)

rewrite37.0ms (1.1%)

series180.0ms (5.5%)

simplify119.0ms (3.6%)

prune171.0ms (5.2%)

localize13.0ms (0.4%)

rewrite35.0ms (1.1%)

series125.0ms (3.8%)

simplify94.0ms (2.9%)

prune142.0ms (4.3%)

regimes266.0ms (8.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (35.6%)

Profiling