Details

analyze271.0ms (6.2%)

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
25%	74.9%	0.1%	6
49.9%	49.9%	0.1%	7
56.2%	43.7%	0.1%	8
56.2%	43.7%	0.1%	9
71.8%	28.1%	0.1%	10
76.5%	23.4%	0.1%	11
76.5%	23.4%	0.1%	12
85%	14.8%	0.1%	13
87.8%	12.1%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample45.0ms (1%)

Algorithm

1×

intervals

Results

19.0ms	71×	body	1024	valid
10.0ms	141×	body	128	valid
5.0ms	27×	body	512	valid
2.0ms	17×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify96.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune2.0ms (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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_6920`
7×	`add-cube-cbrt_binary64_6933` `pow1_binary64_6959` `add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934` `*-un-lft-identity_binary64_6898`
6×	`associate-r_binary64_6838` `associate-l_binary64_6839`
5×	`add-log-exp_binary64_6937`
2×	`prod-exp_binary64_6947` `unswap-sqr_binary64_6866` `cbrt-unprod_binary64_6931` `*-commutative_binary64_6829` `pow-prod-down_binary64_6969`
1×	`flip-+_binary64_6872` `+-commutative_binary64_6828` `flip3-+_binary64_6901` `sum-log_binary64_6989`

Counts

3 → 47

Calls

3 calls:

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

series136.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

72.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
32.0ms	(*.f64 z (cos.f64 y))
31.0ms	(*.f64 x (sin.f64 y))

simplify87.0ms (2%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5087	625

prune51.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	47	9	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	9	57

Error

0.1b

Counts

57 → 9

Compiler

Compiled 881 to 251 computations (71.5% saved)

localize11.0ms (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))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6929`
23×	`add-sqr-sqrt_binary64_6920`
15×	`add-cube-cbrt_binary64_6933` `*-un-lft-identity_binary64_6898`
11×	`pow1_binary64_6959`
9×	`pow1/3_binary64_6980`
6×	`associate-r_binary64_6838` `swap-sqr_binary64_6865` `add-exp-log_binary64_6936` `associate-l_binary64_6839`
4×	`add-log-exp_binary64_6937` `add-cbrt-cube_binary64_6934` `unswap-sqr_binary64_6866`
2×	`pow-sqr_binary64_6871` `pow-prod-up_binary64_6968` `pow-prod-down_binary64_6969`
1×	`pow2_binary64_6979` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `*-commutative_binary64_6829` `pow-plus_binary64_6961`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.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))

series319.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

103.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
75.0ms	(cbrt.f64 (cos.f64 y))
72.0ms	(cbrt.f64 (cos.f64 y))
68.0ms	(cbrt.f64 (cos.f64 y))

simplify86.0ms (2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4921	772
1	4921	772

prune87.0ms (2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	84	10	94

Error

0.0b

Counts

94 → 10

Compiler

Compiled 1943 to 563 computations (71% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
0.2b	(.f64 (.f64 z (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))

rewrite32.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log_binary64_6936`
22×	`add-sqr-sqrt_binary64_6920`
19×	`unpow-prod-down_binary64_6977`
18×	`associate-r_binary64_6838`
16×	`prod-exp_binary64_6947`
13×	`add-cube-cbrt_binary64_6933` `*-un-lft-identity_binary64_6898`
11×	`add-cbrt-cube_binary64_6934`
9×	`pow-exp_binary64_6966`
7×	`pow1_binary64_6959` `cbrt-unprod_binary64_6931`
6×	`unswap-sqr_binary64_6866` `cbrt-prod_binary64_6929`
5×	`pow-to-exp_binary64_6967` `sqr-pow_binary64_6870`
4×	`add-log-exp_binary64_6937` `associate-l_binary64_6839`
3×	`pow-unpow_binary64_6975` `unpow2_binary64_6963`
2×	`unpow1/3_binary64_6965` `*-commutative_binary64_6829`
1×	`pow1/3_binary64_6980` `pow-pow_binary64_6970` `pow-prod-down_binary64_6969`

Counts

4 → 90

Calls

4 calls:

11.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
10.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
2.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

series203.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
75.0ms	(cbrt.f64 (cos.f64 y))
31.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
13.0ms	(pow.f64 (cos.f64 y) 2)

simplify63.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5027	984

prune97.0ms (2.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	101	11	112

Error

0.0b

Counts

112 → 11

Compiler

Compiled 2057 to 839 computations (59.2% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 z (pow.f64 (log.f64 (exp.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))
0.8b	(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-exp-log_binary64_6936`
12×	`add-cube-cbrt_binary64_6933` `add-sqr-sqrt_binary64_6920` `*-un-lft-identity_binary64_6898`
9×	`log-pow_binary64_6987`
8×	`pow1_binary64_6959` `add-cbrt-cube_binary64_6934` `exp-prod_binary64_6950`
7×	`prod-exp_binary64_6947`
6×	`associate-r_binary64_6838` `cbrt-prod_binary64_6929` `unpow-prod-down_binary64_6977`
5×	`cbrt-unprod_binary64_6931`
4×	`add-log-exp_binary64_6937`
3×	`pow-unpow_binary64_6975` `log-prod_binary64_6984`
2×	`pow-to-exp_binary64_6967` `sqr-pow_binary64_6870` `pow-exp_binary64_6966` `unpow2_binary64_6963`
1×	`pow1/3_binary64_6980` `rem-log-exp_binary64_6939` `unpow1/3_binary64_6965` `pow-pow_binary64_6970` `-commutative_binary64_6829` `pow-prod-down_binary64_6969` `associate-l*_binary64_6839`

Counts

4 → 72

Calls

4 calls:

11.0ms	(.f64 (.f64 z (pow.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2))) 1/3)) (cbrt.f64 (cos.f64 y)))
4.0ms	(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))
2.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

series339.0ms (7.7%)

Counts

4 → 12

Calls

4 calls:

180.0ms	(.f64 (.f64 z (pow.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2))) 1/3)) (cbrt.f64 (cos.f64 y)))
75.0ms	(cbrt.f64 (cos.f64 y))
71.0ms	(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))
13.0ms	(pow.f64 (cos.f64 y) 2)

simplify61.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5157	683

prune78.0ms (1.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	84	11	95

Error

0.0b

Counts

95 → 11

Compiler

Compiled 1625 to 714 computations (56.1% saved)

regimes185.0ms (4.2%)

Accuracy

Total 0.1b remaining (65.1%)

Threshold costs 0.1b (65.1%)

Compiler

Compiled 1652 to 1194 computations (27.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample2.0s (46.5%)

Algorithm

1×

intervals

Results

579.0ms	2018×	body	1024	valid
509.0ms	4424×	body	128	valid
205.0ms	1030×	body	512	valid
76.0ms	524×	body	256	valid
2.0ms	4×	body	2048	valid

Compiler

Compiled 426 to 310 computations (27.2% saved)

Details

analyze271.0ms (6.2%)

sample45.0ms (1%)

simplify96.0ms (2.2%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite16.0ms (0.4%)

series136.0ms (3.1%)

simplify87.0ms (2%)

prune51.0ms (1.2%)

localize11.0ms (0.3%)

rewrite16.0ms (0.4%)

series319.0ms (7.3%)

simplify86.0ms (2%)

prune87.0ms (2%)

localize14.0ms (0.3%)

rewrite32.0ms (0.7%)

series203.0ms (4.6%)

simplify63.0ms (1.4%)

prune97.0ms (2.2%)

localize21.0ms (0.5%)

rewrite25.0ms (0.6%)

series339.0ms (7.7%)

simplify61.0ms (1.4%)

prune78.0ms (1.8%)

regimes185.0ms (4.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.0s (46.5%)

Profiling