Details

analyze262.0ms (5.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	46
1	94	46
0	2	2
1	2	2

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)

sample38.0ms (0.7%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
1.0ms	16×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify9.0ms (0.2%)

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

Error

1.0b

Counts

2 → 1

Compiler

Compiled 28 to 28 computations (0% saved)

localize11.0ms (0.2%)

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)

rewrite111.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_4533`
14×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
9×	`times-frac_binary64_4517`
8×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
6×	`pow1_binary64_4572` `add-log-exp_binary64_4550` `div-sub_binary64_4516`
4×	`associate-+r-_binary64_4445`
3×	`associate-l_binary64_4452` `associate-r_binary64_4451` `distribute-frac-neg_binary64_4474` `acos-neg_binary64_4694` `acos-asin_binary64_4692` `associate-/l_binary64_4456` `associate-/r_binary64_4455`
2×	`cos-diff_binary64_4648`
1×	`pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `unswap-sqr_binary64_4479` `*-commutative_binary64_4442` `cos-sum_binary64_4645` `sum-log_binary64_4602` `flip3-+_binary64_4514` `flip-+_binary64_4485` `+-commutative_binary64_4441` `div-exp_binary64_4562` `cbrt-undiv_binary64_4545` `frac-2neg_binary64_4522` `clear-num_binary64_4510` `div-inv_binary64_4508`

Counts

4 → 70

Calls

4 calls:

8.0ms	(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)

Compiler

Compiled 1595 to 940 computations (41.1% saved)

series288.0ms (5.6%)

Error

1.0b

Counts

4 → 18

Calls

4 calls:

147.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
75.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
51.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

Compiler

Compiled 810 to 742 computations (8.4% saved)

simplify98.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5183	1544

prune92.0ms (1.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	3	89

Error

0.9b

Counts

89 → 3

Compiler

Compiled 1721 to 1029 computations (40.2% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite62.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511`
9×	`times-frac_binary64_4517`
5×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
3×	`pow1_binary64_4572` `add-log-exp_binary64_4550` `acos-asin_binary64_4692` `associate-/l_binary64_4456` `associate-/r_binary64_4455`
2×	`div-sub_binary64_4516`
1×	`div-exp_binary64_4562` `cbrt-undiv_binary64_4545` `frac-2neg_binary64_4522` `clear-num_binary64_4510` `div-inv_binary64_4508` `cos-diff_binary64_4648`

Counts

3 → 44

Calls

3 calls:

3.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
3.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
1.0ms	(acos.f64 (/.f64 g h))

Compiler

Compiled 866 to 542 computations (37.4% saved)

series174.0ms (3.4%)

Error

0.9b

Counts

3 → 18

Calls

3 calls:

100.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
43.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
18.0ms	(acos.f64 (/.f64 g h))

Compiler

Compiled 648 to 580 computations (10.5% saved)

simplify142.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4749	815
1	4749	815

prune69.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	62	3	65

Error

Counts

65 → 3

Compiler

Compiled 1054 to 684 computations (35.1% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite196.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`cbrt-prod_binary64_4542`
45×	`times-frac_binary64_4517`
42×	`add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511`
18×	`unpow-prod-down_binary64_4590` `cube-prod_binary64_4539`
15×	`associate-/l*_binary64_4456`
7×	`add-exp-log_binary64_4549`
6×	`unpow3_binary64_4577` `add-cbrt-cube_binary64_4547` `cube-mult_binary64_4541` `sqr-pow_binary64_4483`
5×	`pow1_binary64_4572`
4×	`add-log-exp_binary64_4550`
3×	`pow-unpow_binary64_4588` `associate-/r*_binary64_4455`
1×	`pow-pow_binary64_4583` `pow-to-exp_binary64_4580` `pow-exp_binary64_4579` `rem-cube-cbrt_binary64_4534` `pow1/3_binary64_4593` `rem-cbrt-cube_binary64_4535` `div-exp_binary64_4562` `cbrt-undiv_binary64_4545` `frac-2neg_binary64_4522` `clear-num_binary64_4510` `div-inv_binary64_4508`

Counts

4 → 126

Calls

4 calls:

7.0ms	(/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3)) 3)
6.0ms	(cos.f64 (/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3)) 3))
3.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3))
3.0ms	(pow.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 3194 to 2131 computations (33.3% saved)

series267.0ms (5.2%)

Error

Counts

4 → 24

Calls

4 calls:

102.0ms	(cos.f64 (/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3)) 3))
86.0ms	(pow.f64 (acos.f64 (/.f64 g h)) 3)
43.0ms	(/.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3)) 3)
21.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3))

Compiler

Compiled 918 to 826 computations (10% saved)

simplify87.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4944	2286
1	4944	2286

prune153.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	150	3	153

Error

Counts

153 → 3

Compiler

Compiled 2882 to 1889 computations (34.5% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 (acos.f64 (/.f64 g h)))
1.0b	(cbrt.f64 (acos.f64 (/.f64 g h)))
1.0b	(cbrt.f64 (acos.f64 (/.f64 g h)))
1.0b	(*.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) (cbrt.f64 (acos.f64 (/.f64 g h))))

rewrite91.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_4542`
23×	`add-sqr-sqrt_binary64_4533`
15×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
11×	`pow1_binary64_4572`
9×	`pow1/3_binary64_4593`
6×	`add-exp-log_binary64_4549` `swap-sqr_binary64_4478` `associate-l_binary64_4452` `associate-r_binary64_4451`
4×	`add-log-exp_binary64_4550` `add-cbrt-cube_binary64_4547` `unswap-sqr_binary64_4479`
2×	`pow-prod-down_binary64_4582` `pow-prod-up_binary64_4581` `pow-sqr_binary64_4484`
1×	`pow2_binary64_4592` `pow-plus_binary64_4574` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `*-commutative_binary64_4442`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) (cbrt.f64 (acos.f64 (/.f64 g h))))
2.0ms	(cbrt.f64 (acos.f64 (/.f64 g h)))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 g h)))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 g h)))

Compiler

Compiled 2361 to 819 computations (65.3% saved)

series754.0ms (14.6%)

Error

Counts

4 → 24

Calls

4 calls:

217.0ms	(*.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) (cbrt.f64 (acos.f64 (/.f64 g h))))
186.0ms	(cbrt.f64 (acos.f64 (/.f64 g h)))
168.0ms	(cbrt.f64 (acos.f64 (/.f64 g h)))
159.0ms	(cbrt.f64 (acos.f64 (/.f64 g h)))

Compiler

Compiled 1800 to 1122 computations (37.7% saved)

simplify79.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4827	1113
1	4827	1113

prune96.0ms (1.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	97	3	100

Error

Counts

100 → 3

Compiler

Compiled 2618 to 1084 computations (58.6% saved)

regimes498.0ms (9.6%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 5845 to 5188 computations (11.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	21
1	37	21

end0.0ms (0%)

sample1.5s (29.9%)

Algorithm

1×

intervals

Results

645.0ms	8000×	body	128	valid
40.0ms	488×	body	128	nan

Compiler

Compiled 565 to 502 computations (11.2% saved)

Details

analyze262.0ms (5.1%)

sample38.0ms (0.7%)

simplify9.0ms (0.2%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

rewrite111.0ms (2.1%)

series288.0ms (5.6%)

simplify98.0ms (1.9%)

prune92.0ms (1.8%)

localize10.0ms (0.2%)

rewrite62.0ms (1.2%)

series174.0ms (3.4%)

simplify142.0ms (2.7%)

prune69.0ms (1.3%)

localize14.0ms (0.3%)

rewrite196.0ms (3.8%)

series267.0ms (5.2%)

simplify87.0ms (1.7%)

prune153.0ms (3%)

localize13.0ms (0.3%)

rewrite91.0ms (1.8%)

series754.0ms (14.6%)

simplify79.0ms (1.5%)

prune96.0ms (1.9%)

regimes498.0ms (9.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.5s (29.9%)

Profiling