Details

analyze166.0ms (5.1%)

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)

sample35.0ms (1.1%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
1.0ms	15×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify99.0ms (3%)

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)

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_3169`
14×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
9×	`times-frac_binary64_3153`
8×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
6×	`pow1_binary64_3208` `div-sub_binary64_3152` `add-log-exp_binary64_3186`
4×	`associate-+r-_binary64_3081`
3×	`acos-asin_binary64_3328` `distribute-frac-neg_binary64_3110` `acos-neg_binary64_3330` `associate-r_binary64_3087` `associate-/r_binary64_3091` `associate-/l_binary64_3092` `associate-l_binary64_3088`
2×	`cos-diff_binary64_3284`
1×	`*-commutative_binary64_3078` `cos-sum_binary64_3281` `unswap-sqr_binary64_3115` `clear-num_binary64_3146` `flip-+_binary64_3121` `pow-prod-down_binary64_3218` `frac-2neg_binary64_3158` `flip3-+_binary64_3150` `+-commutative_binary64_3077` `prod-exp_binary64_3196` `cbrt-undiv_binary64_3181` `cbrt-unprod_binary64_3180` `div-exp_binary64_3198` `div-inv_binary64_3144` `sum-log_binary64_3238`

Counts

4 → 70

Calls

4 calls:

11.0ms	(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)

series111.0ms (3.4%)

Counts

4 → 10

Calls

4 calls:

72.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
24.0ms	(+.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)

simplify103.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5185	1420

prune88.0ms (2.7%)

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)

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
9×	`times-frac_binary64_3153`
4×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
3×	`associate-/r_binary64_3091` `associate-/l_binary64_3092`
2×	`acos-asin_binary64_3328` `pow1_binary64_3208` `div-sub_binary64_3152` `add-log-exp_binary64_3186`
1×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `cos-diff_binary64_3284` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `div-inv_binary64_3144`

Counts

2 → 36

Calls

2 calls:

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

series55.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

43.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
12.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify153.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	4749	641
1	4749	641

prune47.0ms (1.4%)

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)

localize18.0ms (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_3169`
51×	`times-frac_binary64_3153`
50×	`add-exp-log_binary64_3185`
36×	`*-un-lft-identity_binary64_3147`
33×	`add-cube-cbrt_binary64_3182`
24×	`cbrt-prod_binary64_3178`
22×	`associate-r_binary64_3087`
20×	`prod-exp_binary64_3196`
18×	`add-cbrt-cube_binary64_3183`
16×	`div-exp_binary64_3198`
9×	`unswap-sqr_binary64_3115`
8×	`cbrt-undiv_binary64_3181` `cbrt-unprod_binary64_3180`
7×	`associate-l_binary64_3088`
6×	`associate-/r*_binary64_3091`
5×	`pow1_binary64_3208`
4×	`1-exp_binary64_3191` `rec-exp_binary64_3197`
3×	`add-log-exp_binary64_3186` `associate-/l*_binary64_3092` `div-inv_binary64_3144`
1×	`-commutative_binary64_3078` `frac-times_binary64_3157` `acos-asin_binary64_3328` `clear-num_binary64_3146` `pow-prod-down_binary64_3218` `associate-l/_binary64_3090` `frac-2neg_binary64_3158` `div-sub_binary64_3152` `associate-*r/_binary64_3089`

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))))

series190.0ms (5.8%)

Counts

3 → 9

Calls

3 calls:

107.0ms

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

55.0ms

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

29.0ms

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

simplify114.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5016	2497

prune162.0ms (4.9%)

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)

localize12.0ms (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)

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`times-frac_binary64_3153`
42×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
32×	`cbrt-prod_binary64_3178`
26×	`unpow-prod-down_binary64_3226` `cube-prod_binary64_3175`
9×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
5×	`pow1_binary64_3208` `div-inv_binary64_3144`
4×	`add-log-exp_binary64_3186`
3×	`associate-/r_binary64_3091` `pow-unpow_binary64_3224` `associate-/l_binary64_3092`
2×	`pow-exp_binary64_3215` `rem-cube-cbrt_binary64_3170` `sqr-pow_binary64_3119` `cube-mult_binary64_3177` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `cube-div_binary64_3176` `unpow3_binary64_3213`
1×	`rem-cbrt-cube_binary64_3171` `cbrt-div_binary64_3179` `acos-asin_binary64_3328` `clear-num_binary64_3146` `pow1/3_binary64_3229` `frac-2neg_binary64_3158` `pow-to-exp_binary64_3216` `div-sub_binary64_3152` `pow-pow_binary64_3219`

Counts

4 → 123

Calls

4 calls:

7.0ms	(cos.f64 (cbrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 g h)) 3) 3)))
5.0ms	(pow.f64 (/.f64 (acos.f64 (/.f64 g h)) 3) 3)
5.0ms	(cbrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 g h)) 3) 3))
3.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

series131.0ms (4%)

Counts

4 → 12

Calls

4 calls:

59.0ms	(cos.f64 (cbrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 g h)) 3) 3)))
40.0ms	(pow.f64 (/.f64 (acos.f64 (/.f64 g h)) 3) 3)
20.0ms	(cbrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 g h)) 3) 3))
12.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify85.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5249	2178

prune139.0ms (4.2%)

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)

regimes262.0ms (8%)

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 (35.8%)

Algorithm

1×

intervals

Results

657.0ms	8000×	body	128	valid
36.0ms	550×	body	128	nan

Compiler

Compiled 234 to 236 computations (-0.9% saved)

Details

analyze166.0ms (5.1%)

sample35.0ms (1.1%)

simplify99.0ms (3%)

prune4.0ms (0.1%)

localize12.0ms (0.4%)

rewrite31.0ms (0.9%)

series111.0ms (3.4%)

simplify103.0ms (3.1%)

prune88.0ms (2.7%)

localize10.0ms (0.3%)

rewrite8.0ms (0.3%)

series55.0ms (1.7%)

simplify153.0ms (4.7%)

prune47.0ms (1.4%)

localize18.0ms (0.5%)

rewrite37.0ms (1.1%)

series190.0ms (5.8%)

simplify114.0ms (3.5%)

prune162.0ms (4.9%)

localize12.0ms (0.4%)

rewrite31.0ms (0.9%)

series131.0ms (4%)

simplify85.0ms (2.6%)

prune139.0ms (4.2%)

regimes262.0ms (8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (35.8%)

Profiling