Details

analyze339.0ms (3.6%)

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
12.5%	87.4%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample114.0ms (1.2%)

Algorithm

1×

intervals

Results

47.0ms	124×	body	1024	valid
15.0ms	69×	body	1024	invalid
15.0ms	74×	body	512	valid
7.0ms	42×	body	512	invalid
5.0ms	91×	body	128	invalid
4.0ms	7×	body	2048	valid
4.0ms	32×	body	256	valid
2.0ms	16×	body	256	invalid
1.0ms	19×	body	128	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify161.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4793	18
1	4793	18

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

Merged error: 43.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.2b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
9×	`cancel-sign-sub-inv_binary64_2090`
7×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
6×	`add-cube-cbrt_binary64_2159`
5×	`associate-r_binary64_2064`
4×	`add-log-exp_binary64_2163` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
3×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `sub-neg_binary64_2117` `cbrt-unprod_binary64_2157`
2×	`flip--_binary64_2099` `difference-of-squares_binary64_2093` `flip3--_binary64_2128` `distribute-lft-out--_binary64_2076` `associate-*r/_binary64_2066`
1×	`-commutative_binary64_2055` `diff-log_binary64_2216` `associate-l*_binary64_2065`

Counts

2 → 46

Calls

2 calls:

11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series96.0ms (1%)

Counts

2 → 6

Calls

2 calls:

75.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
21.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4892	911
1	4892	911

prune57.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	3	53

Merged error: 0.4b

Counts

53 → 3

Compiler

Compiled 880 to 346 computations (60.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))
0.1b	(*.f64 (pow.f64 im 5) -1/60)
0.1b	(*.f64 1/3 (pow.f64 im 3))
0.1b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

rewrite37.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_2146`
19×	`add-exp-log_binary64_2162`
18×	`associate-r_binary64_2064`
13×	`add-cbrt-cube_binary64_2160`
12×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
11×	`associate-l_binary64_2065`
9×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `prod-exp_binary64_2173`
8×	`unpow-prod-down_binary64_2203`
7×	`unswap-sqr_binary64_2092`
5×	`cbrt-unprod_binary64_2157`
4×	`sqr-pow_binary64_2096` `cube-prod_binary64_2152`
3×	`pow-prod-down_binary64_2195` `*-commutative_binary64_2055`
2×	`sum-log_binary64_2215` `pow-exp_binary64_2192` `pow-to-exp_binary64_2193` `associate-*r/_binary64_2066` `flip3-+_binary64_2127` `associate-+l+_binary64_2057` `flip-+_binary64_2098`
1×	`unpow3_binary64_2190` `cancel-sign-sub-inv_binary64_2090` `cube-mult_binary64_2154` `associate-+l-_binary64_2059` `diff-log_binary64_2216` `+-commutative_binary64_2054` `distribute-rgt-in_binary64_2074` `sub-neg_binary64_2117` `distribute-lft-in_binary64_2073`

Counts

4 → 93

Calls

4 calls:

10.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
7.0ms	(+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))
6.0ms	(*.f64 1/3 (pow.f64 im 3))
5.0ms	(*.f64 (pow.f64 im 5) -1/60)

series243.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

154.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
36.0ms	(+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))
29.0ms	(*.f64 (pow.f64 im 5) -1/60)
24.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5098	1865

prune172.0ms (1.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	98	7	105
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	99	9	108

Merged error: 0.3b

Counts

108 → 9

Compiler

Compiled 3090 to 2371 computations (23.3% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 im)
0.6b	(cbrt.f64 im)
0.6b	(cbrt.f64 im)
0.6b	(pow.f64 (cbrt.f64 im) 5)

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_2155`
10×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
6×	`unpow-prod-down_binary64_2203`
5×	`pow1_binary64_2185` `add-exp-log_binary64_2162`
4×	`add-log-exp_binary64_2163` `pow1/3_binary64_2206` `add-cbrt-cube_binary64_2160`
3×	`pow-unpow_binary64_2201`
2×	`pow-pow_binary64_2196`
1×	`pow-exp_binary64_2192` `sqr-pow_binary64_2096` `pow-to-exp_binary64_2193`

Counts

4 → 54

Calls

4 calls:

3.0ms	(pow.f64 (cbrt.f64 im) 5)
1.0ms	(cbrt.f64 im)
1.0ms	(cbrt.f64 im)
1.0ms	(cbrt.f64 im)

series382.0ms (4%)

Counts

4 → 12

Calls

4 calls:

142.0ms	(pow.f64 (cbrt.f64 im) 5)
82.0ms	(cbrt.f64 im)
79.0ms	(cbrt.f64 im)
78.0ms	(cbrt.f64 im)

simplify95.0ms (1%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4922	467
1	4922	467

prune120.0ms (1.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	65	10	75

Merged error: 0.3b

Counts

75 → 10

Compiler

Compiled 2517 to 1684 computations (33.1% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60)))) (cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))))
14.6b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
14.6b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
14.6b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))

rewrite57.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_2066`
18×	`cbrt-div_binary64_2156`
11×	`pow1_binary64_2185`
10×	`add-sqr-sqrt_binary64_2146`
9×	`pow1/3_binary64_2206` `flip3-+_binary64_2127` `flip-+_binary64_2098`
8×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
7×	`cbrt-prod_binary64_2155`
6×	`add-exp-log_binary64_2162`
4×	`swap-sqr_binary64_2091` `add-log-exp_binary64_2163` `associate-l_binary64_2065` `associate-r_binary64_2064` `frac-times_binary64_2134` `add-cbrt-cube_binary64_2160`
2×	`pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `associate-*l/_binary64_2067` `pow-sqr_binary64_2097`
1×	`unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `prod-exp_binary64_2173` `pow-plus_binary64_2187` `pow2_binary64_2205` `cbrt-unprod_binary64_2157`

Counts

4 → 72

Calls

4 calls:

13.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
11.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60)))) (cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))))
10.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
9.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))

series1.5s (16.2%)

Counts

4 → 12

Calls

4 calls:

549.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60)))) (cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))))
331.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
324.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
324.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4947	4064
1	4947	4064

prune383.0ms (4.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	82	12	94

Merged error: 0.3b

Counts

94 → 12

Compiler

Compiled 6225 to 4839 computations (22.3% saved)

regimes535.0ms (5.7%)

Compiler: Compiled 7822 to 6404 computations (18.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	30
1	51	30

end0.0ms (0%)

sample4.8s (51%)

Algorithm

1×

intervals

Results

1.6s	4075×	body	1024	valid
462.0ms	1968×	body	1024	invalid
439.0ms	2046×	body	512	valid
180.0ms	1062×	body	512	invalid
160.0ms	2614×	body	128	invalid
141.0ms	1033×	body	256	valid
126.0ms	219×	body	2048	valid
64.0ms	482×	body	256	invalid
52.0ms	627×	body	128	valid

Compiler

Compiled 1351 to 1103 computations (18.4% saved)

Details

analyze339.0ms (3.6%)

sample114.0ms (1.2%)

simplify161.0ms (1.7%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite21.0ms (0.2%)

series96.0ms (1%)

simplify77.0ms (0.8%)

prune57.0ms (0.6%)

localize14.0ms (0.1%)

rewrite37.0ms (0.4%)

series243.0ms (2.6%)

simplify43.0ms (0.5%)

prune172.0ms (1.8%)

localize19.0ms (0.2%)

rewrite11.0ms (0.1%)

series382.0ms (4%)

simplify95.0ms (1%)

prune120.0ms (1.3%)

localize18.0ms (0.2%)

rewrite57.0ms (0.6%)

series1.5s (16.2%)

simplify79.0ms (0.8%)

prune383.0ms (4.1%)

regimes535.0ms (5.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.8s (51%)

Profiling