Details

analyze1.3s (11.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4881	464
1	4881	464
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	10
0%	74.8%	25.2%	11
0%	74.8%	25.2%	12
24.9%	49.9%	25.2%	13
24.9%	37.4%	37.7%	14

Compiler

Compiled 20 to 20 computations (0% saved)

sample75.0ms (0.7%)

Algorithm

1×

intervals

Results

17.0ms	161×	body	128	valid
15.0ms	45×	body	1024	valid
9.0ms	19×	body	2048	valid
6.0ms	74×	body	128	nan
5.0ms	21×	body	512	valid
2.0ms	27×	body	128	invalid
2.0ms	10×	body	256	valid

Compiler

Compiled 39 to 45 computations (-15.4% saved)

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	757	29
1	757	29

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

18.4b

Counts

2 → 1

Compiler

Compiled 38 to 38 computations (0% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 a (*.f64 b 3))
0.2b	(/.f64 (*.f64 z t) 3)
0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
22.0b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

rewrite38.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802`
11×	`add-sqr-sqrt_binary64_15786` `add-cube-cbrt_binary64_15799` `*-un-lft-identity_binary64_15764`
9×	`times-frac_binary64_15770` `pow1_binary64_15825`
8×	`cos-sum_binary64_15898`
7×	`cancel-sign-sub-inv_binary64_15730`
5×	`cbrt-unprod_binary64_15797` `prod-exp_binary64_15813`
4×	`add-log-exp_binary64_15803` `cbrt-undiv_binary64_15798` `associate-/r_binary64_15708` `associate-/l_binary64_15709` `div-exp_binary64_15815`
3×	`cos-diff_binary64_15901` `div-inv_binary64_15761` `associate-r_binary64_15704` `pow-prod-down_binary64_15835`
2×	`frac-2neg_binary64_15775` `clear-num_binary64_15763`
1×	`distribute-lft-in_binary64_15713` `sub-neg_binary64_15757` `distribute-rgt-in_binary64_15714` `associate-l_binary64_15705` `*-commutative_binary64_15695`

Counts

4 → 78

Calls

4 calls:

10.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
9.0ms	(/.f64 (*.f64 z t) 3)
8.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
5.0ms	(/.f64 a (*.f64 b 3))

series199.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

129.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
42.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
15.0ms	(/.f64 (*.f64 z t) 3)
13.0ms	(/.f64 a (*.f64 b 3))

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4928	1387
1	4928	1387

prune177.0ms (1.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	70	20	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	20	91

Error

12.9b

Counts

91 → 20

Compiler

Compiled 2679 to 1795 computations (33% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x)))
2.0b	(.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x)))
25.6b	(cos.f64 (/.f64 (*.f64 z t) 3))
25.6b	(sin.f64 (/.f64 (*.f64 z t) 3))

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802` `pow1_binary64_15825`
16×	`cbrt-unprod_binary64_15797` `prod-exp_binary64_15813` `pow-prod-down_binary64_15835`
4×	`add-log-exp_binary64_15803` `add-sqr-sqrt_binary64_15786` `add-cube-cbrt_binary64_15799` `*-un-lft-identity_binary64_15764`
2×	`associate-l/_binary64_15707` `associate-l_binary64_15705` `associate-r_binary64_15704` `-commutative_binary64_15695`
1×	`cos-mult_binary64_15918` `sin-mult_binary64_15919`

Counts

4 → 60

Calls

4 calls:

10.0ms	(.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x)))
8.0ms	(.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x)))
2.0ms	(sin.f64 (/.f64 (*.f64 z t) 3))
2.0ms	(cos.f64 (/.f64 (*.f64 z t) 3))

series539.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

328.0ms	(.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x)))
186.0ms	(.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x)))
14.0ms	(sin.f64 (/.f64 (*.f64 z t) 3))
11.0ms	(cos.f64 (/.f64 (*.f64 z t) 3))

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5040	1463

prune177.0ms (1.6%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	62	10	72
Fresh	4	15	19
Picked	1	0	1
Done	0	0	0
Total	67	25	92

Error

12.8b

Counts

92 → 25

Compiler

Compiled 3577 to 2273 computations (36.5% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

25.6b	(cos.f64 (/.f64 (*.f64 z t) 3))
25.6b	(sin.f64 (/.f64 (*.f64 z t) 3))
25.6b	(sin.f64 (/.f64 (*.f64 z t) 3))
25.6b	(sin.f64 (/.f64 (*.f64 z t) 3))

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-log-exp_binary64_15803` `add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802` `add-sqr-sqrt_binary64_15786` `add-cube-cbrt_binary64_15799` `*-un-lft-identity_binary64_15764` `pow1_binary64_15825`

Counts

4 → 28

Calls

4 calls:

2.0ms	(sin.f64 (/.f64 (*.f64 z t) 3))
2.0ms	(sin.f64 (/.f64 (*.f64 z t) 3))
2.0ms	(sin.f64 (/.f64 (*.f64 z t) 3))
2.0ms	(cos.f64 (/.f64 (*.f64 z t) 3))

series52.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(sin.f64 (/.f64 (*.f64 z t) 3))
14.0ms	(sin.f64 (/.f64 (*.f64 z t) 3))
13.0ms	(sin.f64 (/.f64 (*.f64 z t) 3))
11.0ms	(cos.f64 (/.f64 (*.f64 z t) 3))

simplify179.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (169.0ms)

Iter	Nodes	Cost
0	5200	458

prune165.0ms (1.5%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	1	23	24
Picked	1	0	1
Done	0	0	0
Total	39	26	65

Error

12.8b

Counts

65 → 26

Compiler

Compiled 3765 to 2400 computations (36.3% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

25.6b	(cos.f64 (/.f64 (*.f64 z t) 3))
25.6b	(sin.f64 (/.f64 (*.f64 z t) 3))
25.6b	(sin.f64 (/.f64 (*.f64 z t) 3))
25.6b	(sin.f64 (/.f64 (*.f64 z t) 3))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-log-exp_binary64_15803` `add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802` `add-sqr-sqrt_binary64_15786` `add-cube-cbrt_binary64_15799` `*-un-lft-identity_binary64_15764` `pow1_binary64_15825`

Counts

4 → 28

Calls

4 calls:

2.0ms	(sin.f64 (/.f64 (*.f64 z t) 3))
2.0ms	(sin.f64 (/.f64 (*.f64 z t) 3))
2.0ms	(sin.f64 (/.f64 (*.f64 z t) 3))
2.0ms	(cos.f64 (/.f64 (*.f64 z t) 3))

series50.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(sin.f64 (/.f64 (*.f64 z t) 3))
13.0ms	(sin.f64 (/.f64 (*.f64 z t) 3))
13.0ms	(sin.f64 (/.f64 (*.f64 z t) 3))
11.0ms	(cos.f64 (/.f64 (*.f64 z t) 3))

simplify178.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (168.0ms)

Iter	Nodes	Cost
0	5200	458

prune159.0ms (1.5%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	36	4	40
Fresh	0	25	25
Picked	1	0	1
Done	0	0	0
Total	37	29	66

Error

12.8b

Counts

66 → 29

Compiler

Compiled 3540 to 2077 computations (41.3% saved)

regimes2.9s (26.9%)

Accuracy

Total 1.7b remaining (9.1%)

Threshold costs 0b (0%)

Compiler

Compiled 36530 to 30744 computations (15.8% saved)

bsearch4.0ms (0%)

Compiler: Compiled 7 to 10 computations (-42.9% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	139	168
1	139	168

Compiler

Compiled 214 to 146 computations (31.8% saved)

end0.0ms (0%)

sample4.4s (39.9%)

Algorithm

1×

intervals

Results

582.0ms	1656×	body	1024	valid
381.0ms	761×	body	2048	valid
373.0ms	4480×	body	128	valid
201.0ms	788×	body	512	valid
189.0ms	2321×	body	128	nan
92.0ms	1124×	body	128	invalid
55.0ms	315×	body	256	valid

Compiler

Compiled 2373 to 1966 computations (17.2% saved)

Details

analyze1.3s (11.6%)

sample75.0ms (0.7%)

simplify52.0ms (0.5%)

prune4.0ms (0%)

localize15.0ms (0.1%)

rewrite38.0ms (0.3%)

series199.0ms (1.8%)

simplify69.0ms (0.6%)

prune177.0ms (1.6%)

localize27.0ms (0.2%)

rewrite30.0ms (0.3%)

series539.0ms (4.9%)

simplify66.0ms (0.6%)

prune177.0ms (1.6%)

localize33.0ms (0.3%)

rewrite14.0ms (0.1%)

series52.0ms (0.5%)

simplify179.0ms (1.6%)

prune165.0ms (1.5%)

localize37.0ms (0.3%)

rewrite15.0ms (0.1%)

series50.0ms (0.5%)

simplify178.0ms (1.6%)

prune159.0ms (1.5%)

regimes2.9s (26.9%)

bsearch4.0ms (0%)

simplify15.0ms (0.1%)

end0.0ms (0%)

sample4.4s (39.9%)

Profiling