Details

analyze2.7s (12.7%)

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)

sample493.0ms (2.3%)

Algorithm

1×

intervals

Results

430.0ms	168×	body	1024	valid
23.0ms	42×	body	512	valid
15.0ms	8×	body	2048	valid
5.0ms	15×	body	256	valid
4.0ms	23×	body	128	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	385	39
1	385	39

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

8.9b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.9b	(cos.f64 (-.f64 lambda1 lambda2))
3.0b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite120.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

Rules

11×	`add-sqr-sqrt_binary64_2487` `pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
9×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
6×	`cancel-sign-sub-inv_binary64_2431` `associate-r_binary64_2405`
4×	`sin-sum_binary64_2598` `add-log-exp_binary64_2504` `cos-sum_binary64_2599` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-l_binary64_2406`
3×	`cos-diff_binary64_2602`
2×	`sub-neg_binary64_2458` `sin-cos-mult_binary64_2621` `*-commutative_binary64_2396`
1×	`sin-diff_binary64_2601` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `associate-*l/_binary64_2408` `unswap-sqr_binary64_2433`

Counts

4 → 64

Calls

4 calls:

8.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
7.0ms	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
5.0ms	(sin.f64 (-.f64 lambda1 lambda2))
4.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2066 to 344 computations (83.3% saved)

series762.0ms (3.5%)

Error

6.4b

Counts

4 → 60

Calls

4 calls:

388.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
189.0ms	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
59.0ms	(cos.f64 (-.f64 lambda1 lambda2))
55.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4543 to 2128 computations (53.2% saved)

simplify88.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5098	2077

prune176.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	112	12	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	12	125

Error

5.2b

Counts

125 → 12

Compiler

Compiled 4005 to 761 computations (81% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.9b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite126.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-sqr-sqrt_binary64_2487`
13×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
10×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
9×	`associate-r_binary64_2405`
7×	`associate-l_binary64_2406`
5×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
4×	`cos-sum_binary64_2599` `add-log-exp_binary64_2504`
3×	`cos-diff_binary64_2602` `cancel-sign-sub-inv_binary64_2431` `associate-l/_binary64_2408` `-commutative_binary64_2396`
2×	`unswap-sqr_binary64_2433`
1×	`sub-neg_binary64_2458` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `sin-cos-mult_binary64_2621` `flip3--_binary64_2469` `flip--_binary64_2440`

Counts

4 → 71

Calls

4 calls:

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

Compiler

Compiled 2860 to 385 computations (86.5% saved)

series1.0s (4.8%)

Error

5.1b

Counts

4 → 58

Calls

4 calls:

405.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
375.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
112.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
61.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 5472 to 2631 computations (51.9% saved)

simplify75.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5023	2615

prune166.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	125	4	129
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	131	10	141

Error

0.1b

Counts

141 → 10

Compiler

Compiled 5090 to 805 computations (84.2% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite169.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_2487`
15×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
12×	`associate-r_binary64_2405`
11×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
10×	`associate-l_binary64_2406`
6×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
4×	`add-log-exp_binary64_2504` `sin-cos-mult_binary64_2621` `*-commutative_binary64_2396`
3×	`sin-mult_binary64_2620` `frac-times_binary64_2475` `associate-l/_binary64_2408` `associate-r/_binary64_2407` `unswap-sqr_binary64_2433`
2×	`cos-mult_binary64_2619` `frac-add_binary64_2473` `flip3-+_binary64_2468` `flip-+_binary64_2439`
1×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `flip3--_binary64_2469` `flip--_binary64_2440`

Counts

4 → 84

Calls

4 calls:

11.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
8.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))

Compiler

Compiled 4101 to 503 computations (87.7% saved)

series1.4s (6.5%)

Error

0.1b

Counts

4 → 56

Calls

4 calls:

703.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
411.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
110.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
101.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 6461 to 2803 computations (56.6% saved)

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5218	3559

prune205.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	134	6	140
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	139	11	150

Error

0.0b

Counts

150 → 11

Compiler

Compiled 6768 to 1006 computations (85.1% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
0.2b	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (log.f64 (exp.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
3.5b	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))

rewrite142.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`pow1_binary64_2526` `add-sqr-sqrt_binary64_2487`
13×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
10×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
9×	`associate-r_binary64_2405`
7×	`associate-l_binary64_2406`
5×	`add-log-exp_binary64_2504` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
3×	`log-pow_binary64_2554` `log-prod_binary64_2551` `sin-cos-mult_binary64_2621` `associate-l/_binary64_2408` `-commutative_binary64_2396`
2×	`flip3-+_binary64_2468` `frac-times_binary64_2475` `flip-+_binary64_2439` `associate-*r/_binary64_2407` `unswap-sqr_binary64_2433`
1×	`exp-to-pow_binary64_2527` `exp-prod_binary64_2517` `rem-log-exp_binary64_2506` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `sin-mult_binary64_2620` `flip3--_binary64_2469` `flip--_binary64_2440`

Counts

4 → 78

Calls

4 calls:

11.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (log.f64 (exp.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
7.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
5.0ms	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
3.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))

Compiler

Compiled 4016 to 502 computations (87.5% saved)

series1.8s (8.3%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

953.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (log.f64 (exp.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
410.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
251.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
99.0ms	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))

Compiler

Compiled 6546 to 2870 computations (56.2% saved)

simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5141	3374

prune172.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	132	11	143

Error

0.0b

Counts

143 → 11

Compiler

Compiled 6107 to 750 computations (87.7% saved)

regimes1.9s (8.6%)

Accuracy

Total 0.1b remaining (77.1%)

Threshold costs 0.1b (77.1%)

Compiler

Compiled 26506 to 16369 computations (38.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	128	67
1	128	67

end0.0ms (0%)

sample9.7s (45.2%)

Algorithm

1×

intervals

Results

4.7s	5339×	body	1024	valid
683.0ms	1233×	body	512	valid
372.0ms	194×	body	2048	valid
160.0ms	421×	body	256	valid
128.0ms	813×	body	128	valid

Compiler

Compiled 4304 to 2659 computations (38.2% saved)

Details

analyze2.7s (12.7%)

sample493.0ms (2.3%)

simplify23.0ms (0.1%)

prune4.0ms (0%)

localize19.0ms (0.1%)

rewrite120.0ms (0.6%)

series762.0ms (3.5%)

simplify88.0ms (0.4%)

prune176.0ms (0.8%)

localize26.0ms (0.1%)

rewrite126.0ms (0.6%)

series1.0s (4.8%)

simplify75.0ms (0.3%)

prune166.0ms (0.8%)

localize31.0ms (0.1%)

rewrite169.0ms (0.8%)

series1.4s (6.5%)

simplify80.0ms (0.4%)

prune205.0ms (1%)

localize33.0ms (0.2%)

rewrite142.0ms (0.7%)

series1.8s (8.3%)

simplify85.0ms (0.4%)

prune172.0ms (0.8%)

regimes1.9s (8.6%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample9.7s (45.2%)

Profiling