Details

analyze664.0ms (6.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	56
1	34	56
0	3	3
1	3	3

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)

sample82.0ms (0.8%)

Algorithm

1×

intervals

Results

34.0ms	59×	body	1024	valid
18.0ms	158×	body	128	valid
8.0ms	23×	body	512	valid
4.0ms	16×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune4.0ms (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)

localize16.0ms (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 x (sin.f64 y))
0.1b	(*.f64 z (cos.f64 y))

rewrite99.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_6238`
7×	`pow1_binary64_6277` `add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252` `add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
6×	`associate-l_binary64_6157` `associate-r_binary64_6156`
5×	`add-log-exp_binary64_6255`
2×	`pow-prod-down_binary64_6287` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `unswap-sqr_binary64_6184` `*-commutative_binary64_6147`
1×	`sum-log_binary64_6307` `flip3-+_binary64_6219` `flip-+_binary64_6190` `+-commutative_binary64_6146`

Counts

3 → 47

Calls

3 calls:

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

Compiler

Compiled 730 to 175 computations (76% saved)

series639.0ms (6.1%)

Error

0.1b

Counts

3 → 32

Calls

3 calls:

373.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
118.0ms	(*.f64 z (cos.f64 y))
113.0ms	(*.f64 x (sin.f64 y))

Compiler

Compiled 748 to 476 computations (36.4% saved)

simplify159.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	5105	852

prune125.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	70	9	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	9	80

Error

0.0b

Counts

80 → 9

Compiler

Compiled 1099 to 285 computations (74.1% saved)

localize23.0ms (0.2%)

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))

rewrite164.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_6247`
23×	`add-sqr-sqrt_binary64_6238`
15×	`add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
11×	`pow1_binary64_6277`
9×	`pow1/3_binary64_6298`
6×	`add-exp-log_binary64_6254` `swap-sqr_binary64_6183` `associate-l_binary64_6157` `associate-r_binary64_6156`
4×	`add-log-exp_binary64_6255` `add-cbrt-cube_binary64_6252` `unswap-sqr_binary64_6184`
2×	`pow-prod-down_binary64_6287` `pow-prod-up_binary64_6286` `pow-sqr_binary64_6189`
1×	`pow2_binary64_6297` `pow-plus_binary64_6279` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 73

Calls

4 calls:

14.0ms	(*.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))

Compiler

Compiled 1730 to 366 computations (78.8% saved)

series552.0ms (5.3%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

143.0ms	(cbrt.f64 (cos.f64 y))
140.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
132.0ms	(cbrt.f64 (cos.f64 y))
112.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 798 to 492 computations (38.3% saved)

simplify169.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	4815	730
1	4815	730

prune160.0ms (1.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	86	11	97

Error

0.0b

Counts

97 → 11

Compiler

Compiled 1970 to 554 computations (71.9% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
0.1b	(.f64 (.f64 z (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))

rewrite563.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-exp-log_binary64_6254`
22×	`add-sqr-sqrt_binary64_6238`
19×	`unpow-prod-down_binary64_6295`
18×	`associate-r_binary64_6156`
16×	`prod-exp_binary64_6265`
13×	`add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
11×	`add-cbrt-cube_binary64_6252`
9×	`pow-exp_binary64_6284`
7×	`pow1_binary64_6277` `cbrt-unprod_binary64_6249`
6×	`cbrt-prod_binary64_6247` `unswap-sqr_binary64_6184`
5×	`pow-to-exp_binary64_6285` `sqr-pow_binary64_6188`
4×	`add-log-exp_binary64_6255` `associate-l_binary64_6157`
3×	`pow-unpow_binary64_6293` `unpow2_binary64_6281`
2×	`unpow1/3_binary64_6283` `*-commutative_binary64_6147`
1×	`pow1/3_binary64_6298` `pow-pow_binary64_6288` `pow-prod-down_binary64_6287`

Counts

4 → 90

Calls

4 calls:

20.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
18.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
5.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 2148 to 1014 computations (52.8% saved)

series727.0ms (7%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

416.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
122.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
119.0ms	(cbrt.f64 (cos.f64 y))
40.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 845 to 595 computations (29.6% saved)

simplify113.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4901	1019
1	4901	1019

prune186.0ms (1.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	110	11	121

Error

0.0b

Counts

121 → 11

Compiler

Compiled 2132 to 841 computations (60.6% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite134.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_6247`
23×	`add-sqr-sqrt_binary64_6238`
15×	`add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
11×	`pow1_binary64_6277`
9×	`pow1/3_binary64_6298`
6×	`add-exp-log_binary64_6254` `swap-sqr_binary64_6183` `associate-l_binary64_6157` `associate-r_binary64_6156`
4×	`add-log-exp_binary64_6255` `add-cbrt-cube_binary64_6252` `unswap-sqr_binary64_6184`
2×	`pow-prod-down_binary64_6287` `pow-prod-up_binary64_6286` `pow-sqr_binary64_6189`
1×	`pow2_binary64_6297` `pow-plus_binary64_6279` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 73

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

Compiler

Compiled 1524 to 318 computations (79.1% saved)

series550.0ms (5.3%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

141.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
138.0ms	(cbrt.f64 x)
137.0ms	(cbrt.f64 x)
119.0ms	(cbrt.f64 x)

Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify135.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune120.0ms (1.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	84	12	96

Error

0.0b

Counts

96 → 12

Compiler

Compiled 1573 to 371 computations (76.4% saved)

regimes653.0ms (6.3%)

Accuracy

Total 0.1b remaining (71.1%)

Threshold costs 0.1b (71.1%)

Compiler

Compiled 3408 to 2378 computations (30.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample4.3s (41.4%)

Algorithm

1×

intervals

Results

1.1s	2015×	body	1024	valid
537.0ms	4469×	body	128	valid
381.0ms	1009×	body	512	valid
119.0ms	499×	body	256	valid
7.0ms	8×	body	2048	valid

Compiler

Compiled 865 to 606 computations (29.9% saved)

Details

analyze664.0ms (6.4%)

sample82.0ms (0.8%)

simplify13.0ms (0.1%)

prune4.0ms (0%)

localize16.0ms (0.2%)

rewrite99.0ms (0.9%)

series639.0ms (6.1%)

simplify159.0ms (1.5%)

prune125.0ms (1.2%)

localize23.0ms (0.2%)

rewrite164.0ms (1.6%)

series552.0ms (5.3%)

simplify169.0ms (1.6%)

prune160.0ms (1.5%)

localize28.0ms (0.3%)

rewrite563.0ms (5.4%)

series727.0ms (7%)

simplify113.0ms (1.1%)

prune186.0ms (1.8%)

localize23.0ms (0.2%)

rewrite134.0ms (1.3%)

series550.0ms (5.3%)

simplify135.0ms (1.3%)

prune120.0ms (1.1%)

regimes653.0ms (6.3%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample4.3s (41.4%)

Profiling