Details

analyze266.0ms (4.8%)

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)

sample45.0ms (0.8%)

Algorithm

1×

intervals

Results

15.0ms	54×	body	1024	valid
11.0ms	160×	body	128	valid
5.0ms	25×	body	512	valid
2.0ms	17×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify94.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune3.0ms (0%)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize13.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_5897`
7×	`add-cube-cbrt_binary64_5910` `add-exp-log_binary64_5913` `*-un-lft-identity_binary64_5875` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936`
6×	`associate-r_binary64_5815` `associate-l_binary64_5816`
5×	`add-log-exp_binary64_5914`
2×	`pow-prod-down_binary64_5946` `cbrt-unprod_binary64_5908` `unswap-sqr_binary64_5843` `prod-exp_binary64_5924` `*-commutative_binary64_5806`
1×	`flip-+_binary64_5849` `flip3-+_binary64_5878` `sum-log_binary64_5966` `+-commutative_binary64_5805`

Counts

3 → 47

Calls

6 calls:

5.0ms	(*.f64 x (cos.f64 y))
4.0ms	(*.f64 z (sin.f64 y))
4.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
0.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
0.0ms	(*.f64 z (sin.f64 y))

series353.0ms (6.4%)

Counts

3 → 33

Calls

3 calls:

214.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
71.0ms	(*.f64 x (cos.f64 y))
68.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 508 to 453 computations (10.8% saved)

simplify92.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5172	874

prune93.0ms (1.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	70	10	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	10	81

Error

0.0b

Counts

81 → 10

Compiler

Compiled 1111 to 302 computations (72.8% saved)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

rewrite17.0ms (0.3%)

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

8 calls:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
0.0ms	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cos.f64 y))) (.f64 z (sin.f64 y)))

series293.0ms (5.3%)

Counts

4 → 16

Calls

4 calls:

92.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
69.0ms	(cbrt.f64 (cos.f64 y))
68.0ms	(cbrt.f64 (cos.f64 y))
64.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 548 to 413 computations (24.6% saved)

simplify82.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4872	740
1	4872	740

prune92.0ms (1.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	88	11	99

Error

0.0b

Counts

99 → 11

Compiler

Compiled 1963 to 552 computations (71.9% saved)

localize15.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
0.1b	(*.f64 z (sin.f64 y))
0.1b	(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
0.0b	(+.f64 (.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
0.1b	(*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
0.1b	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
0.2b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log_binary64_5913`
22×	`add-sqr-sqrt_binary64_5897`
19×	`unpow-prod-down_binary64_5954`
18×	`associate-r_binary64_5815`
16×	`prod-exp_binary64_5924`
13×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
11×	`add-cbrt-cube_binary64_5911`
9×	`pow-exp_binary64_5943`
7×	`cbrt-unprod_binary64_5908` `pow1_binary64_5936`
6×	`cbrt-prod_binary64_5906` `unswap-sqr_binary64_5843`
5×	`sqr-pow_binary64_5847` `pow-to-exp_binary64_5944`
4×	`associate-l_binary64_5816` `add-log-exp_binary64_5914`
3×	`pow-unpow_binary64_5952` `unpow2_binary64_5940`
2×	`unpow1/3_binary64_5942` `*-commutative_binary64_5806`
1×	`pow-pow_binary64_5947` `pow-prod-down_binary64_5946` `pow1/3_binary64_5957`

Counts

4 → 90

Calls

8 calls:

10.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
8.0ms	(*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
2.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))
0.0ms	(+.f64 (.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))

series424.0ms (7.7%)

Counts

4 → 24

Calls

4 calls:

256.0ms	(*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
72.0ms	(cbrt.f64 (cos.f64 y))
71.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
25.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 675 to 574 computations (15% saved)

simplify66.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5178	1077

prune103.0ms (1.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	114	11	125

Error

0.0b

Counts

125 → 11

Compiler

Compiled 2183 to 862 computations (60.5% saved)

localize12.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (sin.f64 y)))
0.2b	(.f64 z (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))))
0.1b	(*.f64 x (cos.f64 y))
0.0b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 z (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (sin.f64 y))))
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 (0.3%)

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

8 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))
0.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 z (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (sin.f64 y))))

series299.0ms (5.4%)

Counts

4 → 16

Calls

4 calls:

90.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
71.0ms	(cbrt.f64 (sin.f64 y))
71.0ms	(cbrt.f64 (sin.f64 y))
67.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 602 to 455 computations (24.4% saved)

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4890	770
1	4890	770

prune95.0ms (1.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	3	5	8
Picked	1	0	1
Done	0	2	2
Total	90	10	100

Error

0.0b

Counts

100 → 10

Compiler

Compiled 1821 to 449 computations (75.3% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	243	706
1	243	706

regimes160.0ms (2.9%)

Compiler: Compiled 1326 to 1008 computations (24% saved)

bsearch0.0ms (0%)

regimes138.0ms (2.5%)

Compiler: Compiled 174 to 207 computations (-19% saved)

bsearch60.0ms (1.1%)

Steps

Iters	Range		Point
11	3.5626211425141256e+84	2.0249346582370426e+109	1.2283565887335996e+85
5	-2.891182136648741e+62	-1.2622681149058688e+62	-1.470539932393163e+62

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes130.0ms (2.3%)

Compiler: Compiled 90 to 135 computations (-50% saved)

bsearch155.0ms (2.8%)

Steps

Iters	Range		Point
9	9.643666707406733e+284	3.0236728682975033e+293	3.7818007728958533e+291
10	2.497724315629227e+242	3.122274864337252e+255	1.0783110509492972e+250
7	3.970244235274639e-06	0.00012771932569782867	0.0001253325168202152
8	-0.00031753722337157916	-1.3309388321197191e-07	-0.0003122042002747951

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes107.0ms (1.9%)

Compiler: Compiled 78 to 120 computations (-53.8% saved)

bsearch45.0ms (0.8%)

Steps

Iters	Range		Point
9	148216.87020837155	386186386728203.6	152215.74440737173
8	-0.00031753722337157916	-1.3309388321197191e-07	-0.0003122042002747951

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes35.0ms (0.6%)

Compiler: Compiled 66 to 105 computations (-59.1% saved)

bsearch0.0ms (0%)

regimes28.0ms (0.5%)

Compiler: Compiled 18 to 63 computations (-250% saved)

bsearch0.0ms (0%)

regimes26.0ms (0.5%)

Accuracy

Total 0.1b remaining (79.9%)

Threshold costs 0.1b (79.9%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch6.0ms (0.1%)

Compiler: Compiled 108 to 76 computations (29.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	148
1	63	148

end0.0ms (0%)

sample2.0s (36.8%)

Algorithm

1×

intervals

Results

565.0ms	1955×	body	1024	valid
334.0ms	4548×	body	128	valid
198.0ms	1011×	body	512	valid
71.0ms	482×	body	256	valid
2.0ms	4×	body	2048	valid

Compiler

Compiled 549 to 421 computations (23.3% saved)

Pareto

0.4629767504176834

Details

analyze266.0ms (4.8%)

sample45.0ms (0.8%)

simplify94.0ms (1.7%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite16.0ms (0.3%)

series353.0ms (6.4%)

simplify92.0ms (1.7%)

prune93.0ms (1.7%)

localize13.0ms (0.2%)

rewrite17.0ms (0.3%)

series293.0ms (5.3%)

simplify82.0ms (1.5%)

prune92.0ms (1.7%)

localize15.0ms (0.3%)

rewrite30.0ms (0.5%)

series424.0ms (7.7%)

simplify66.0ms (1.2%)

prune103.0ms (1.9%)

localize12.0ms (0.2%)

rewrite18.0ms (0.3%)

series299.0ms (5.4%)

simplify60.0ms (1.1%)

prune95.0ms (1.7%)

simplify14.0ms (0.2%)

regimes160.0ms (2.9%)

bsearch0.0ms (0%)

regimes138.0ms (2.5%)

bsearch60.0ms (1.1%)

regimes130.0ms (2.3%)

bsearch155.0ms (2.8%)

regimes107.0ms (1.9%)

bsearch45.0ms (0.8%)

regimes35.0ms (0.6%)

bsearch0.0ms (0%)

regimes28.0ms (0.5%)

bsearch0.0ms (0%)

regimes26.0ms (0.5%)

bsearch6.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.0s (36.8%)

Profiling