Details

analyze2.7s (18.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1713	273
1	1713	273
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
7.8%	92%	0.2%	9
7.8%	92%	0.2%	10
10.1%	89.7%	0.2%	11
10.1%	89.7%	0.2%	12
13.9%	85.9%	0.2%	13
13.9%	85.9%	0.2%	14

Compiler

Compiled 25 to 18 computations (28% saved)

sample211.0ms (1.5%)

Algorithm

1×

intervals

Results

158.0ms	179×	body	1024	valid
27.0ms	41×	body	512	valid
5.0ms	3×	body	2048	valid
4.0ms	23×	body	128	valid
3.0ms	10×	body	256	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	385	39
1	385	39

prune3.0ms (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

12.7b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
4.6b	(cos.f64 (-.f64 lambda1 lambda2))
4.6b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite27.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_2185` `add-sqr-sqrt_binary64_2146` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
9×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
6×	`cancel-sign-sub-inv_binary64_2090` `associate-r_binary64_2064`
4×	`pow-prod-down_binary64_2195` `add-log-exp_binary64_2163` `associate-l_binary64_2065` `prod-exp_binary64_2173` `sin-sum_binary64_2257` `cos-sum_binary64_2258` `cbrt-unprod_binary64_2157`
3×	`cos-diff_binary64_2261`
2×	`*-commutative_binary64_2055` `sub-neg_binary64_2117`
1×	`sin-cos-mult_binary64_2280` `unswap-sqr_binary64_2092` `associate-*l/_binary64_2067` `sin-diff_binary64_2260` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`

Counts

4 → 63

Calls

4 calls:

7.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(sin.f64 (-.f64 lambda1 lambda2))
5.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))

series175.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

101.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
37.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
20.0ms	(cos.f64 (-.f64 lambda1 lambda2))
18.0ms	(sin.f64 (-.f64 lambda1 lambda2))

simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4860	1037
1	4860	1037

prune105.0ms (0.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	63	12	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	12	76

Error

7.0b

Counts

76 → 12

Compiler

Compiled 2514 to 531 computations (78.9% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
0.2b	(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
4.6b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite32.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_2146`
13×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
10×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
9×	`associate-r_binary64_2064`
7×	`associate-l_binary64_2065`
5×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
4×	`add-log-exp_binary64_2163` `cos-sum_binary64_2258`
3×	`cos-diff_binary64_2261` `cancel-sign-sub-inv_binary64_2090` `*-commutative_binary64_2055`
2×	`sin-cos-mult_binary64_2280` `unswap-sqr_binary64_2092`
1×	`associate-*l/_binary64_2067` `distribute-rgt-in_binary64_2074` `sub-neg_binary64_2117` `distribute-lft-in_binary64_2073`

Counts

4 → 70

Calls

4 calls:

7.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
7.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))

series201.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
41.0ms	(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
35.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
16.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify105.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4869	1103
1	4869	1103

prune111.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	84	10	94

Error

0.1b

Counts

94 → 10

Compiler

Compiled 3257 to 584 computations (82.1% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
0.2b	(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

rewrite36.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_2146`
15×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
12×	`associate-r_binary64_2064`
11×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
10×	`associate-l_binary64_2065`
6×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
5×	`sin-cos-mult_binary64_2280`
4×	`*-commutative_binary64_2055` `add-log-exp_binary64_2163`
3×	`unswap-sqr_binary64_2092` `sin-mult_binary64_2279` `associate-*r/_binary64_2066` `frac-times_binary64_2134`
2×	`cos-mult_binary64_2278` `flip3-+_binary64_2127` `flip-+_binary64_2098` `frac-add_binary64_2132`
1×	`associate-*l/_binary64_2067` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`

Counts

4 → 83

Calls

4 calls:

11.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
5.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))

series319.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

207.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
38.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
37.0ms	(*.f64 (sin.f64 lambda1) (cos.f64 lambda2))
36.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5008	1744

prune152.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	88	7	95
Fresh	7	2	9
Picked	1	0	1
Done	0	0	0
Total	96	9	105

Error

0.1b

Counts

105 → 9

Compiler

Compiled 4572 to 719 computations (84.3% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.5b	(pow.f64 (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))) 3)
20.9b	(cbrt.f64 (pow.f64 (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))) 3))

rewrite51.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
14×	`cube-div_binary64_2153`
12×	`sin-cos-mult_binary64_2280`
11×	`add-sqr-sqrt_binary64_2146`
9×	`add-cube-cbrt_binary64_2159` `associate-r/_binary64_2066` `frac-times_binary64_2134` `-un-lft-identity_binary64_2124`
8×	`cbrt-prod_binary64_2155`
7×	`cbrt-div_binary64_2156` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `sin-mult_binary64_2279` `cbrt-unprod_binary64_2157`
6×	`cos-mult_binary64_2278` `flip3-+_binary64_2127` `associate-r_binary64_2064` `flip-+_binary64_2098` `frac-add_binary64_2132`
4×	`add-log-exp_binary64_2163` `associate-l_binary64_2065`
3×	`pow-unpow_binary64_2201` `pow-pow_binary64_2196` `pow-exp_binary64_2192` `associate-*l/_binary64_2067` `rem-cube-cbrt_binary64_2147`
2×	`unpow3_binary64_2190` `unpow-prod-down_binary64_2203` `cube-mult_binary64_2154` `*-commutative_binary64_2055` `sqr-pow_binary64_2096` `cube-prod_binary64_2152`
1×	`unswap-sqr_binary64_2092` `rem-cbrt-cube_binary64_2148` `pow1/3_binary64_2206` `distribute-rgt-in_binary64_2074` `pow-to-exp_binary64_2193` `distribute-lft-in_binary64_2073`

Counts

4 → 102

Calls

4 calls:

12.0ms	(pow.f64 (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))) 3)
11.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))
7.0ms	(cbrt.f64 (pow.f64 (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))) 3))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

series1.0s (7.1%)

Counts

4 → 12

Calls

4 calls:

592.0ms	(pow.f64 (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))) 3)
204.0ms	(cbrt.f64 (pow.f64 (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))) 3))
195.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))))
36.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

simplify106.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4964	3633
1	4964	3633

prune157.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	113	10	123

Error

0.0b

Counts

123 → 10

Compiler

Compiled 5717 to 863 computations (84.9% saved)

regimes756.0ms (5.2%)

Accuracy

Total 0.1b remaining (73.8%)

Threshold costs 0.1b (73.8%)

Compiler

Compiled 10656 to 6573 computations (38.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	148	73
1	148	73

end0.0ms (0%)

sample7.8s (54.3%)

Algorithm

1×

intervals

Results

4.8s	5394×	body	1024	valid
693.0ms	1279×	body	512	valid
370.0ms	199×	body	2048	valid
136.0ms	767×	body	128	valid
128.0ms	361×	body	256	valid

Compiler

Compiled 1750 to 1074 computations (38.6% saved)

Details

analyze2.7s (18.8%)

sample211.0ms (1.5%)

simplify22.0ms (0.2%)

prune3.0ms (0%)

localize19.0ms (0.1%)

rewrite27.0ms (0.2%)

series175.0ms (1.2%)

simplify99.0ms (0.7%)

prune105.0ms (0.7%)

localize27.0ms (0.2%)

rewrite32.0ms (0.2%)

series201.0ms (1.4%)

simplify105.0ms (0.7%)

prune111.0ms (0.8%)

localize31.0ms (0.2%)

rewrite36.0ms (0.2%)

series319.0ms (2.2%)

simplify62.0ms (0.4%)

prune152.0ms (1.1%)

localize34.0ms (0.2%)

rewrite51.0ms (0.4%)

series1.0s (7.1%)

simplify106.0ms (0.7%)

prune157.0ms (1.1%)

regimes756.0ms (5.2%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample7.8s (54.3%)

Profiling