Details

analyze910.0ms (7.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4785	15
1	4785	15
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0.1%	14

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample176.0ms (1.5%)

Algorithm

1×

intervals

Results

68.0ms	41×	body	8192	exit
56.0ms	152×	body	1024	valid
16.0ms	53×	body	512	valid
7.0ms	29×	body	1024	nan
4.0ms	29×	body	256	valid
4.0ms	23×	body	512	nan
2.0ms	17×	body	256	nan
2.0ms	4×	body	2048	valid
1.0ms	18×	body	128	valid
0.0ms	5×	body	128	nan

Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify112.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4785	15
1	4785	15

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

60.3b

Counts

2 → 1

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (cos.f64 x))
0.2b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
2.9b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite89.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

60.2b

Rules

13×	`add-sqr-sqrt_binary64_782`
12×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
9×	`times-frac_binary64_766`
5×	`add-cbrt-cube_binary64_796`
4×	`pow1_binary64_821` `add-exp-log_binary64_798`
3×	`add-log-exp_binary64_799` `associate-/l_binary64_705` `associate-/r_binary64_704` `sqrt-prod_binary64_776`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773`

Counts

3 → 47

Calls

3 calls:

4.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
1.0ms	(sqrt.f64 (cos.f64 x))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 772 to 159 computations (79.4% saved)

series144.0ms (1.2%)

Error

60.3b

Counts

3 → 15

Calls

3 calls:

77.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
33.0ms	(sqrt.f64 (cos.f64 x))
19.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 443 to 248 computations (44% saved)

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5248	1052

prune87.0ms (0.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	4	63

Error

60.2b

Counts

63 → 4

Compiler

Compiled 808 to 217 computations (73.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (cos.f64 x))
0.2b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
1.9b	(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
2.9b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite173.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

60.2b

Rules

22×	`add-sqr-sqrt_binary64_782`
21×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
18×	`times-frac_binary64_766`
14×	`log-pow_binary64_849`
13×	`exp-prod_binary64_812`
6×	`pow1_binary64_821` `add-cbrt-cube_binary64_796`
5×	`add-exp-log_binary64_798`
4×	`add-log-exp_binary64_799`
3×	`log-prod_binary64_846` `associate-/l_binary64_705` `associate-/r_binary64_704` `sqrt-prod_binary64_776`
2×	`div-inv_binary64_757`
1×	`rem-log-exp_binary64_801` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773`

Counts

4 → 72

Calls

4 calls:

5.0ms	(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
4.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
1.0ms	(sqrt.f64 (cos.f64 x))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 1399 to 325 computations (76.8% saved)

series404.0ms (3.5%)

Error

60.2b

Counts

4 → 21

Calls

4 calls:

249.0ms	(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
74.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
34.0ms	(sqrt.f64 (cos.f64 x))
19.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 737 to 415 computations (43.7% saved)

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5512	1662

prune158.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	93	4	97

Error

60.2b

Counts

97 → 4

Compiler

Compiled 1378 to 354 computations (74.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
0.2b	(cbrt.f64 (cos.f64 x))
0.2b	(cbrt.f64 (cos.f64 x))
2.9b	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))

rewrite130.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

60.2b

Rules

16×	`add-sqr-sqrt_binary64_782`
10×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760` `cbrt-prod_binary64_791`
9×	`associate-r_binary64_700`
8×	`sqrt-prod_binary64_776`
6×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
4×	`add-log-exp_binary64_799`
3×	`unswap-sqr_binary64_728` `associate-l_binary64_701`
2×	`pow1/3_binary64_842`
1×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

4 → 55

Calls

4 calls:

7.0ms	(*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
1.0ms	(cbrt.f64 (cos.f64 x))
1.0ms	(cbrt.f64 (cos.f64 x))
0.0ms	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))

Compiler

Compiled 1147 to 263 computations (77.1% saved)

series487.0ms (4.2%)

Error

60.2b

Counts

4 → 21

Calls

4 calls:

170.0ms	(*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
126.0ms	(cbrt.f64 (cos.f64 x))
118.0ms	(cbrt.f64 (cos.f64 x))
32.0ms	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))

Compiler

Compiled 920 to 624 computations (32.2% saved)

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5480	1206

prune138.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	75	5	80

Error

60.2b

Counts

80 → 5

Compiler

Compiled 1319 to 406 computations (69.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (cbrt.f64 (cos.f64 x)))
0.1b	(*.f64 (fabs.f64 (pow.f64 (cos.f64 x) 1/3)) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
0.2b	(cbrt.f64 (cos.f64 x))
2.9b	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (pow.f64 (cos.f64 x) 1/3)) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))

rewrite161.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

60.2b

Rules

19×	`add-sqr-sqrt_binary64_782`
14×	`sqrt-prod_binary64_776`
11×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760` `cbrt-prod_binary64_791`
9×	`associate-r_binary64_700`
7×	`pow1_binary64_821`
6×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
4×	`add-log-exp_binary64_799`
3×	`unswap-sqr_binary64_728` `associate-l_binary64_701`
2×	`pow1/3_binary64_842` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773`
1×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `*-commutative_binary64_691` `pow1/2_binary64_840`

Counts

4 → 62

Calls

4 calls:

7.0ms	(*.f64 (fabs.f64 (pow.f64 (cos.f64 x) 1/3)) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
2.0ms	(sqrt.f64 (cbrt.f64 (cos.f64 x)))
1.0ms	(cbrt.f64 (cos.f64 x))
0.0ms	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (pow.f64 (cos.f64 x) 1/3)) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))

Compiler

Compiled 1341 to 563 computations (58% saved)

series486.0ms (4.2%)

Error

60.2b

Counts

4 → 21

Calls

4 calls:

168.0ms	(*.f64 (fabs.f64 (pow.f64 (cos.f64 x) 1/3)) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
125.0ms	(sqrt.f64 (cbrt.f64 (cos.f64 x)))
122.0ms	(cbrt.f64 (cos.f64 x))
33.0ms	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (pow.f64 (cos.f64 x) 1/3)) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))

Compiler

Compiled 933 to 654 computations (29.9% saved)

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5196	1287

prune159.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	83	5	88

Error

60.2b

Counts

88 → 5

Compiler

Compiled 1422 to 534 computations (62.4% saved)

regimes892.0ms (7.7%)

Accuracy

Total 1.4b remaining (5.8%)

Threshold costs 0b (0%)

Compiler

Compiled 8008 to 5156 computations (35.6% saved)

bsearch12.0ms (0.1%)

Compiler: Compiled 10 to 8 computations (20% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	24
1	21	24

end1.0ms (0%)

Compiler: Compiled 15 to 13 computations (13.3% saved)

sample6.5s (56.2%)

Algorithm

1×

intervals

Results

2.8s	1555×	body	8192	exit
1.6s	3994×	body	1024	valid
500.0ms	1970×	body	512	valid
441.0ms	1570×	body	1024	nan
151.0ms	982×	body	256	valid
148.0ms	802×	body	512	nan
95.0ms	159×	body	2048	valid
71.0ms	895×	body	128	valid
55.0ms	406×	body	256	nan
27.0ms	383×	body	128	nan
1.0ms	2×	body	2048	nan

Compiler

Compiled 117 to 73 computations (37.6% saved)

Details

analyze910.0ms (7.9%)

sample176.0ms (1.5%)

simplify112.0ms (1%)

prune4.0ms (0%)

localize7.0ms (0.1%)

rewrite89.0ms (0.8%)

series144.0ms (1.2%)

simplify69.0ms (0.6%)

prune87.0ms (0.8%)

localize9.0ms (0.1%)

rewrite173.0ms (1.5%)

series404.0ms (3.5%)

simplify82.0ms (0.7%)

prune158.0ms (1.4%)

localize11.0ms (0.1%)

rewrite130.0ms (1.1%)

series487.0ms (4.2%)

simplify76.0ms (0.7%)

prune138.0ms (1.2%)

localize13.0ms (0.1%)

rewrite161.0ms (1.4%)

series486.0ms (4.2%)

simplify61.0ms (0.5%)

prune159.0ms (1.4%)

regimes892.0ms (7.7%)

bsearch12.0ms (0.1%)

simplify2.0ms (0%)

end1.0ms (0%)

sample6.5s (56.2%)

Profiling