Details

analyze273.0ms (4.7%)

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
0%	99.9%	0.1%	5
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample53.0ms (0.9%)

Algorithm

1×

intervals

Results

23.0ms	63×	body	1024	valid
10.0ms	146×	body	128	valid
7.0ms	32×	body	512	valid
2.0ms	15×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify180.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	139	14
1	139	14

prune3.0ms (0.1%)

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: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
0.1b	(*.f64 x (cos.f64 y))
0.1b	(*.f64 z (sin.f64 y))

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_5949`
7×	`*-un-lft-identity_binary64_5927` `add-cbrt-cube_binary64_5963` `add-cube-cbrt_binary64_5962` `add-exp-log_binary64_5965` `pow1_binary64_5988`
6×	`associate-l_binary64_5868` `associate-r_binary64_5867`
5×	`add-log-exp_binary64_5966`
2×	`unswap-sqr_binary64_5895` `prod-exp_binary64_5976` `*-commutative_binary64_5858` `pow-prod-down_binary64_5998` `cbrt-unprod_binary64_5960`
1×	`sub-neg_binary64_5920` `flip--_binary64_5902` `cancel-sign-sub-inv_binary64_5893` `diff-log_binary64_6019` `flip3--_binary64_5931`

Counts

3 → 48

Calls

3 calls:

5.0ms	(*.f64 z (sin.f64 y))
5.0ms	(*.f64 x (cos.f64 y))
5.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

series265.0ms (4.6%)

Counts

3 → 9

Calls

3 calls:

136.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
66.0ms	(*.f64 z (sin.f64 y))
62.0ms	(*.f64 x (cos.f64 y))

simplify89.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4949	635
1	4949	635

prune252.0ms (4.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	46	11	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	12	58

Merged error: 0.0b

Counts

58 → 12

Compiler

Compiled 3585 to 2035 computations (43.2% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5958`
23×	`add-sqr-sqrt_binary64_5949`
15×	`*-un-lft-identity_binary64_5927` `add-cube-cbrt_binary64_5962`
11×	`pow1_binary64_5988`
9×	`pow1/3_binary64_6009`
6×	`swap-sqr_binary64_5894` `add-exp-log_binary64_5965` `associate-l_binary64_5868` `associate-r_binary64_5867`
4×	`add-log-exp_binary64_5966` `unswap-sqr_binary64_5895` `add-cbrt-cube_binary64_5963`
2×	`pow-sqr_binary64_5900` `pow-prod-up_binary64_5997` `pow-prod-down_binary64_5998`
1×	`pow-plus_binary64_5990` `pow2_binary64_6008` `prod-exp_binary64_5976` `*-commutative_binary64_5858` `cbrt-unprod_binary64_5960`

Counts

4 → 73

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))

series558.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

188.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
126.0ms	(cbrt.f64 (cos.f64 y))
123.0ms	(cbrt.f64 (cos.f64 y))
120.0ms	(cbrt.f64 (cos.f64 y))

simplify97.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4955	772
1	4955	772

prune270.0ms (4.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	85	12	97

Merged error: 0.0b

Counts

97 → 12

Compiler

Compiled 4438 to 2079 computations (53.2% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 z (sin.f64 y))
0.1b	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
0.3b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))

rewrite28.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_5965`
13×	`add-sqr-sqrt_binary64_5949`
12×	`prod-exp_binary64_5976`
11×	`*-un-lft-identity_binary64_5927` `add-cube-cbrt_binary64_5962`
10×	`add-cbrt-cube_binary64_5963`
9×	`pow1_binary64_5988` `associate-r_binary64_5867`
6×	`cbrt-prod_binary64_5958` `cbrt-unprod_binary64_5960`
5×	`pow-exp_binary64_5995`
4×	`add-log-exp_binary64_5966` `associate-l_binary64_5868`
3×	`pow-unpow_binary64_6004` `unpow-prod-down_binary64_6006` `pow-to-exp_binary64_5996`
2×	`*-commutative_binary64_5858` `pow-prod-down_binary64_5998`
1×	`pow-pow_binary64_5999` `unswap-sqr_binary64_5895` `pow1/3_binary64_6009` `sqr-pow_binary64_5899` `unpow1/3_binary64_5994` `unpow2_binary64_5992`

Counts

4 → 72

Calls

4 calls:

12.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
5.0ms	(*.f64 z (sin.f64 y))
3.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (cos.f64 y))

series287.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt.f64 (cos.f64 y))
63.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
59.0ms	(*.f64 z (sin.f64 y))
30.0ms	(pow.f64 (cos.f64 y) 2)

simplify114.0ms (2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4905	705
1	4905	705

prune132.0ms (2.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	84	12	96

Merged error: 0.0b

Counts

96 → 12

Compiler

Compiled 2229 to 1042 computations (53.3% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (cos.f64 y)) (log.f64 (exp.f64 (cbrt.f64 (cos.f64 y)))))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_5949`
16×	`cbrt-prod_binary64_5958`
14×	`*-un-lft-identity_binary64_5927` `add-cube-cbrt_binary64_5962`
10×	`associate-r_binary64_5867`
7×	`log-pow_binary64_6016` `pow1_binary64_5988`
6×	`log-prod_binary64_6013` `add-exp-log_binary64_5965` `exp-prod_binary64_5979` `associate-l_binary64_5868`
5×	`add-cbrt-cube_binary64_5963`
4×	`add-log-exp_binary64_5966`
3×	`distribute-rgt-in_binary64_5877` `pow1/3_binary64_6009` `distribute-lft-in_binary64_5876`
2×	`unswap-sqr_binary64_5895`
1×	`prod-exp_binary64_5976` `*-commutative_binary64_5858` `pow-prod-down_binary64_5998` `cbrt-unprod_binary64_5960`

Counts

4 → 68

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (log.f64 (exp.f64 (cbrt.f64 (cos.f64 y)))))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))

series854.0ms (14.7%)

Counts

4 → 12

Calls

4 calls:

486.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (log.f64 (exp.f64 (cbrt.f64 (cos.f64 y)))))
132.0ms	(cbrt.f64 (cos.f64 y))
119.0ms	(cbrt.f64 (cos.f64 y))
117.0ms	(cbrt.f64 (cos.f64 y))

simplify92.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4887	860
1	4887	860

prune102.0ms (1.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	80	12	92

Merged error: 0.0b

Counts

92 → 12

Compiler

Compiled 2134 to 628 computations (70.6% saved)

regimes121.0ms (2.1%)

Compiler: Compiled 988 to 614 computations (37.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample1.9s (33%)

Algorithm

1×

intervals

Results

760.0ms	2014×	body	1024	valid
340.0ms	4511×	body	128	valid
226.0ms	994×	body	512	valid
72.0ms	476×	body	256	valid
4.0ms	5×	body	2048	valid

Compiler

Compiled 260 to 165 computations (36.5% saved)

Details

analyze273.0ms (4.7%)

sample53.0ms (0.9%)

simplify180.0ms (3.1%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite18.0ms (0.3%)

series265.0ms (4.6%)

simplify89.0ms (1.5%)

prune252.0ms (4.3%)

localize16.0ms (0.3%)

rewrite20.0ms (0.3%)

series558.0ms (9.6%)

simplify97.0ms (1.7%)

prune270.0ms (4.7%)

localize17.0ms (0.3%)

rewrite28.0ms (0.5%)

series287.0ms (4.9%)

simplify114.0ms (2%)

prune132.0ms (2.3%)

localize18.0ms (0.3%)

rewrite27.0ms (0.5%)

series854.0ms (14.7%)

simplify92.0ms (1.6%)

prune102.0ms (1.8%)

regimes121.0ms (2.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.9s (33%)

Profiling