Details

analyze289.0ms (6.4%)

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
31.2%	68.6%	0.1%	6
43.7%	56.2%	0.1%	7
59.3%	40.6%	0.1%	8
59.3%	40.6%	0.1%	9
68.6%	31.2%	0.1%	10
78%	21.8%	0.1%	11
78%	21.8%	0.1%	12
83.5%	16.4%	0.1%	13
88.5%	11.3%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample39.0ms (0.9%)

Algorithm

1×

intervals

Results

14.0ms	36×	body	1024	valid
12.0ms	195×	body	128	valid
3.0ms	16×	body	512	valid
1.0ms	9×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify106.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	227	14
1	227	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: 0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64_5914`
6×	`add-sqr-sqrt_binary64_5897`
4×	`add-cube-cbrt_binary64_5910` `add-exp-log_binary64_5913` `*-un-lft-identity_binary64_5875` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936`
3×	`associate-r_binary64_5815` `associate-l_binary64_5816`
2×	`diff-log_binary64_5967`
1×	`pow-prod-down_binary64_5946` `cbrt-unprod_binary64_5908` `sub-neg_binary64_5868` `cancel-sign-sub-inv_binary64_5841` `unswap-sqr_binary64_5843` `sum-log_binary64_5966` `prod-exp_binary64_5924` `flip3--_binary64_5879` `*-commutative_binary64_5806` `associate--l+_binary64_5812` `flip--_binary64_5850`

Counts

2 → 32

Calls

2 calls:

7.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
5.0ms	(*.f64 z (sin.f64 y))

series403.0ms (9%)

Counts

2 → 27

Calls

2 calls:

296.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
107.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 421 to 384 computations (8.8% saved)

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4955	783
1	4955	783

prune51.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	5	60

Merged error: 0b

Counts

60 → 5

Compiler

Compiled 790 to 248 computations (68.6% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5906`
23×	`add-sqr-sqrt_binary64_5897`
15×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
11×	`pow1_binary64_5936`
9×	`pow1/3_binary64_5957`
6×	`add-exp-log_binary64_5913` `associate-r_binary64_5815` `associate-l_binary64_5816` `swap-sqr_binary64_5842`
4×	`unswap-sqr_binary64_5843` `add-cbrt-cube_binary64_5911` `add-log-exp_binary64_5914`
2×	`pow-prod-down_binary64_5946` `pow-sqr_binary64_5848` `pow-prod-up_binary64_5945`
1×	`pow-plus_binary64_5938` `cbrt-unprod_binary64_5908` `pow2_binary64_5956` `prod-exp_binary64_5924` `*-commutative_binary64_5806`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))

series371.0ms (8.3%)

Counts

4 → 15

Calls

4 calls:

142.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
84.0ms	(cbrt.f64 (sin.f64 y))
73.0ms	(cbrt.f64 (sin.f64 y))
72.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 572 to 457 computations (20.1% saved)

simplify88.0ms (2%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4858	863
1	4858	863

prune79.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	88	5	93

Merged error: 0b

Counts

93 → 5

Compiler

Compiled 1893 to 522 computations (72.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5906`
23×	`add-sqr-sqrt_binary64_5897`
15×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
11×	`pow1_binary64_5936`
9×	`pow1/3_binary64_5957`
6×	`add-exp-log_binary64_5913` `associate-r_binary64_5815` `associate-l_binary64_5816` `swap-sqr_binary64_5842`
4×	`unswap-sqr_binary64_5843` `add-cbrt-cube_binary64_5911` `add-log-exp_binary64_5914`
2×	`pow-prod-down_binary64_5946` `pow-sqr_binary64_5848` `pow-prod-up_binary64_5945`
1×	`pow-plus_binary64_5938` `cbrt-unprod_binary64_5908` `pow2_binary64_5956` `prod-exp_binary64_5924` `*-commutative_binary64_5806`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series392.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
97.0ms	(cbrt.f64 z)
96.0ms	(cbrt.f64 z)
90.0ms	(cbrt.f64 z)

Compiler

Compiled 462 to 378 computations (18.2% saved)

simplify76.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5008	570

prune67.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Merged error: 0b

Counts

90 → 5

Compiler

Compiled 1613 to 419 computations (74% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
0.1b	(*.f64 z (sin.f64 y))
0.2b	(pow.f64 (*.f64 z (sin.f64 y)) 3)
34.4b	(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_5906`
17×	`add-sqr-sqrt_binary64_5897`
15×	`*-un-lft-identity_binary64_5875`
11×	`cancel-sign-sub-inv_binary64_5841`
10×	`add-cube-cbrt_binary64_5910`
9×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936` `add-log-exp_binary64_5914`
4×	`sqr-pow_binary64_5847`
3×	`pow-unpow_binary64_5952` `cube-prod_binary64_5903` `unpow3_binary64_5941` `associate-r_binary64_5815` `associate-l_binary64_5816` `difference-of-squares_binary64_5844` `unpow-prod-down_binary64_5954` `cube-mult_binary64_5905`
2×	`distribute-lft-out--_binary64_5827` `pow-pow_binary64_5947` `pow-prod-down_binary64_5946` `rem-cube-cbrt_binary64_5898` `diff-log_binary64_5967` `cbrt-unprod_binary64_5908` `pow-exp_binary64_5943` `prod-exp_binary64_5924`
1×	`distribute-lft-out_binary64_5826` `sub-neg_binary64_5868` `rem-cbrt-cube_binary64_5899` `unswap-sqr_binary64_5843` `sum-log_binary64_5966` `flip3--_binary64_5879` `*-commutative_binary64_5806` `associate--l+_binary64_5812` `pow1/3_binary64_5957` `flip--_binary64_5850` `pow-to-exp_binary64_5944`

Counts

4 → 86

Calls

4 calls:

10.0ms	(-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
5.0ms	(*.f64 z (sin.f64 y))
4.0ms	(pow.f64 (*.f64 z (sin.f64 y)) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))

series658.0ms (14.6%)

Counts

4 → 39

Calls

4 calls:

313.0ms	(-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
144.0ms	(pow.f64 (*.f64 z (sin.f64 y)) 3)
115.0ms	(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
86.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 784 to 719 computations (8.3% saved)

simplify71.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4934	1581
1	4934	1581

prune85.0ms (1.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	125	5	130

Merged error: 0b

Counts

130 → 5

Compiler

Compiled 1783 to 592 computations (66.8% saved)

regimes122.0ms (2.7%)

Compiler: Compiled 852 to 686 computations (19.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample1.4s (31.5%)

Algorithm

1×

intervals

Results

381.0ms	1352×	body	1024	valid
373.0ms	5677×	body	128	valid
124.0ms	636×	body	512	valid
49.0ms	332×	body	256	valid
4.0ms	3×	body	2048	valid

Compiler

Compiled 226 to 183 computations (19% saved)

Details

analyze289.0ms (6.4%)

sample39.0ms (0.9%)

simplify106.0ms (2.3%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite14.0ms (0.3%)

series403.0ms (9%)

simplify62.0ms (1.4%)

prune51.0ms (1.1%)

localize12.0ms (0.3%)

rewrite18.0ms (0.4%)

series371.0ms (8.3%)

simplify88.0ms (2%)

prune79.0ms (1.8%)

localize11.0ms (0.2%)

rewrite16.0ms (0.4%)

series392.0ms (8.7%)

simplify76.0ms (1.7%)

prune67.0ms (1.5%)

localize10.0ms (0.2%)

rewrite28.0ms (0.6%)

series658.0ms (14.6%)

simplify71.0ms (1.6%)

prune85.0ms (1.9%)

regimes122.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (31.5%)

Profiling