Details

analyze156.0ms (5.9%)

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)

sample33.0ms (1.2%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
1.0ms	12×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify102.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	54	23
1	54	23

prune4.0ms (0.2%)

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)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite33.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_2146`
14×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
9×	`times-frac_binary64_2130`
8×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
6×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `div-sub_binary64_2129`
4×	`associate-+r-_binary64_2058`
3×	`acos-neg_binary64_2307` `associate-/l_binary64_2069` `acos-asin_binary64_2305` `associate-/r_binary64_2068` `associate-l_binary64_2065` `associate-r_binary64_2064` `distribute-frac-neg_binary64_2087`
2×	`cos-diff_binary64_2261`
1×	`pow-prod-down_binary64_2195` `clear-num_binary64_2123` `cbrt-undiv_binary64_2158` `unswap-sqr_binary64_2092` `sum-log_binary64_2215` `*-commutative_binary64_2055` `prod-exp_binary64_2173` `+-commutative_binary64_2054` `cos-sum_binary64_2258` `flip3-+_binary64_2127` `flip-+_binary64_2098` `div-inv_binary64_2121` `div-exp_binary64_2175` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135`

Counts

4 → 70

Calls

4 calls:

12.0ms	(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))
5.0ms	(*.f64 PI.f64 2/3)
4.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

series115.0ms (4.4%)

Counts

4 → 10

Calls

4 calls:

75.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
25.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
15.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

simplify98.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5185	1420

prune85.0ms (3.2%)

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: 1.0b

Counts

81 → 2

Compiler

Compiled 1590 to 940 computations (40.9% saved)

localize10.0ms (0.4%)

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)

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
9×	`times-frac_binary64_2130`
4×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`associate-/l_binary64_2069` `associate-/r_binary64_2068`
2×	`acos-asin_binary64_2305` `pow1_binary64_2185` `add-log-exp_binary64_2163` `div-sub_binary64_2129`
1×	`clear-num_binary64_2123` `cos-diff_binary64_2261` `cbrt-undiv_binary64_2158` `div-inv_binary64_2121` `div-exp_binary64_2175` `frac-2neg_binary64_2135`

Counts

2 → 36

Calls

2 calls:

4.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
3.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))

series55.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

42.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
13.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify148.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	4749	641
1	4749	641

prune45.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Merged error: 0b

Counts

44 → 2

Compiler

Compiled 760 to 500 computations (34.2% saved)

localize15.0ms (0.6%)

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))

rewrite41.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_2146`
51×	`times-frac_binary64_2130`
50×	`add-exp-log_binary64_2162`
36×	`*-un-lft-identity_binary64_2124`
33×	`add-cube-cbrt_binary64_2159`
24×	`cbrt-prod_binary64_2155`
22×	`associate-r_binary64_2064`
20×	`prod-exp_binary64_2173`
18×	`add-cbrt-cube_binary64_2160`
16×	`div-exp_binary64_2175`
9×	`unswap-sqr_binary64_2092`
8×	`cbrt-undiv_binary64_2158` `cbrt-unprod_binary64_2157`
7×	`associate-l_binary64_2065`
6×	`associate-/r*_binary64_2068`
5×	`pow1_binary64_2185`
4×	`1-exp_binary64_2168` `rec-exp_binary64_2174`
3×	`associate-/l*_binary64_2069` `add-log-exp_binary64_2163` `div-inv_binary64_2121`
1×	`pow-prod-down_binary64_2195` `clear-num_binary64_2123` `-commutative_binary64_2055` `acos-asin_binary64_2305` `associate-l/_binary64_2067` `associate-*r/_binary64_2066` `frac-times_binary64_2134` `div-sub_binary64_2129` `frac-2neg_binary64_2135`

Counts

3 → 117

Calls

3 calls:

21.0ms

(*.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))))

series183.0ms (6.9%)

Counts

3 → 9

Calls

3 calls:

102.0ms

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

53.0ms

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

28.0ms

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

simplify106.0ms (4%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5016	2497

prune172.0ms (6.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0b

Counts

128 → 2

Compiler

Compiled 3108 to 2283 computations (26.5% saved)

regimes190.0ms (7.2%)

Compiler: Compiled 1618 to 1548 computations (4.3% 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%)

sample1.0s (38.6%)

Algorithm

1×

intervals

Results

602.0ms	8000×	body	128	valid
34.0ms	524×	body	128	nan

Compiler

Compiled 172 to 168 computations (2.3% saved)

Details

analyze156.0ms (5.9%)

sample33.0ms (1.2%)

simplify102.0ms (3.9%)

prune4.0ms (0.2%)

localize11.0ms (0.4%)

rewrite33.0ms (1.3%)

series115.0ms (4.4%)

simplify98.0ms (3.7%)

prune85.0ms (3.2%)

localize10.0ms (0.4%)

rewrite9.0ms (0.3%)

series55.0ms (2.1%)

simplify148.0ms (5.6%)

prune45.0ms (1.7%)

localize15.0ms (0.6%)

rewrite41.0ms (1.6%)

series183.0ms (6.9%)

simplify106.0ms (4%)

prune172.0ms (6.5%)

regimes190.0ms (7.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (38.6%)

Profiling