Details

analyze289.0ms (4.1%)

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)

sample71.0ms (1%)

Algorithm

1×

intervals

Results

30.0ms	69×	body	1024	valid
14.0ms	145×	body	128	valid
8.0ms	28×	body	512	valid
3.0ms	14×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify126.0ms (1.8%)

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%)

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

0.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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))

rewrite83.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

3 → 47

Calls

3 calls:

8.0ms	(*.f64 z (sin.f64 y))
7.0ms	(*.f64 x (cos.f64 y))
5.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 730 to 175 computations (76% saved)

series460.0ms (6.5%)

Error

0.1b

Counts

3 → 34

Calls

3 calls:

249.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
108.0ms	(*.f64 x (cos.f64 y))
70.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 830 to 531 computations (36% saved)

simplify139.0ms (2%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4838	905
1	4838	905

prune83.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	70	11	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	11	82

Error

0.0b

Counts

82 → 11

Compiler

Compiled 1173 to 330 computations (71.9% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

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))

rewrite92.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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×	`add-exp-log_binary64_6936` `swap-sqr_binary64_6865` `associate-l_binary64_6839` `associate-r_binary64_6838`
4×	`add-log-exp_binary64_6937` `add-cbrt-cube_binary64_6934` `unswap-sqr_binary64_6866`
2×	`pow-prod-down_binary64_6969` `pow-prod-up_binary64_6968` `pow-sqr_binary64_6871`
1×	`pow2_binary64_6979` `pow-plus_binary64_6961` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `*-commutative_binary64_6829`

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))

Compiler

Compiled 1730 to 366 computations (78.8% saved)

series496.0ms (7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

151.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
112.0ms	(cbrt.f64 (cos.f64 y))
105.0ms	(cbrt.f64 (cos.f64 y))
101.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1212 to 763 computations (37% saved)

simplify107.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4915	928
1	4915	928

prune108.0ms (1.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	97	11	108

Error

0.0b

Counts

108 → 11

Compiler

Compiled 2233 to 686 computations (69.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite182.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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×	`cbrt-prod_binary64_6929` `unswap-sqr_binary64_6866`
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:

16.0ms	(.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))

Compiler

Compiled 2148 to 1014 computations (52.8% saved)

series600.0ms (8.5%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

341.0ms	(*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
95.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
95.0ms	(cbrt.f64 (cos.f64 y))
32.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 1284 to 900 computations (29.9% saved)

simplify88.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4916	1233
1	4916	1233

prune339.0ms (4.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	120	11	131

Error

0.0b

Counts

131 → 11

Compiler

Compiled 2381 to 977 computations (59% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 6)) 1/3)) (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cos.f64 y))
0.4b	(cbrt.f64 (pow.f64 (cos.f64 y) 6))
0.7b	(pow.f64 (cos.f64 y) 6)

rewrite131.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 66

Calls

4 calls:

19.0ms	(.f64 (.f64 x (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 6)) 1/3)) (cbrt.f64 (cos.f64 y)))
4.0ms	(pow.f64 (cos.f64 y) 6)
4.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 6))
2.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1617 to 803 computations (50.3% saved)

series287.0ms (4.1%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

91.0ms	(.f64 (.f64 x (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 6)) 1/3)) (cbrt.f64 (cos.f64 y)))
75.0ms	(cbrt.f64 (cos.f64 y))
67.0ms	(pow.f64 (cos.f64 y) 6)
25.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 6))

Compiler

Compiled 1167 to 843 computations (27.8% saved)

simplify93.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4922	892
1	4922	892

prune95.0ms (1.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	93	11	104

Error

0.0b

Counts

104 → 11

Compiler

Compiled 1762 to 779 computations (55.8% saved)

regimes429.0ms (6.1%)

Accuracy

Total 0.1b remaining (79.1%)

Threshold costs 0.1b (79.1%)

Compiler

Compiled 3252 to 2290 computations (29.6% 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%)

sample2.7s (38.3%)

Algorithm

1×

intervals

Results

669.0ms	1971×	body	1024	valid
367.0ms	4530×	body	128	valid
234.0ms	980×	body	512	valid
92.0ms	512×	body	256	valid
5.0ms	7×	body	2048	valid

Compiler

Compiled 826 to 584 computations (29.3% saved)

Details

analyze289.0ms (4.1%)

sample71.0ms (1%)

simplify126.0ms (1.8%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite83.0ms (1.2%)

series460.0ms (6.5%)

simplify139.0ms (2%)

prune83.0ms (1.2%)

localize20.0ms (0.3%)

rewrite92.0ms (1.3%)

series496.0ms (7%)

simplify107.0ms (1.5%)

prune108.0ms (1.5%)

localize14.0ms (0.2%)

rewrite182.0ms (2.6%)

series600.0ms (8.5%)

simplify88.0ms (1.2%)

prune339.0ms (4.8%)

localize28.0ms (0.4%)

rewrite131.0ms (1.8%)

series287.0ms (4.1%)

simplify93.0ms (1.3%)

prune95.0ms (1.3%)

regimes429.0ms (6.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.7s (38.3%)

Profiling