Details

analyze2.5s (10%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
0%	99.5%	0.5%	11
0%	99.1%	0.9%	12
0.4%	97.3%	2.3%	13
0.7%	95.8%	3.5%	14

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample414.0ms (1.7%)

Algorithm

1×

intervals

Results

147.0ms	42×	body	4096	invalid
67.0ms	33×	body	2048	invalid
66.0ms	117×	body	1024	valid
38.0ms	16×	body	4096	valid
22.0ms	24×	body	2048	valid
18.0ms	49×	body	512	valid
15.0ms	27×	body	1024	invalid
8.0ms	21×	body	512	invalid
6.0ms	22×	body	256	valid
4.0ms	28×	body	128	valid
3.0ms	25×	body	128	invalid
2.0ms	6×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify105.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5185	32

prune9.0ms (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

Merged error: 38.4b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
0.6b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
16.2b	(/.f64 (pow.f64 t 3) (*.f64 l l))
26.8b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite94.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

405×	`add-exp-log_binary64_457`
237×	`prod-exp_binary64_468`
115×	`div-exp_binary64_470`
70×	`add-cbrt-cube_binary64_455`
56×	`pow-exp_binary64_487`
38×	`pow-to-exp_binary64_488`
35×	`cbrt-unprod_binary64_452`
24×	`times-frac_binary64_425`
21×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-r*_binary64_359` `add-sqr-sqrt_binary64_441`
19×	`unpow-prod-down_binary64_498`
15×	`associate-l/_binary64_362` `associate-/l_binary64_364`
14×	`cbrt-undiv_binary64_453`
9×	`pow1_binary64_480`
6×	`cube-prod_binary64_447` `tan-quot_binary64_578`
4×	`add-log-exp_binary64_458`
3×	`pow-prod-down_binary64_490` `div-inv_binary64_416` `frac-times_binary64_429` `sqr-pow_binary64_391` `associate-*r/_binary64_361` `associate-/r/_binary64_365`
2×	`clear-num_binary64_418` `unpow3_binary64_485` `cube-mult_binary64_449` `-commutative_binary64_350` `associate-l_binary64_360` `frac-2neg_binary64_430` `associate-/r_binary64_363`
1×	`unpow2_binary64_484`

Counts

4 → 206

Calls

4 calls:

21.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
21.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
13.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
7.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

series2.2s (8.8%)

Counts

4 → 40

Calls

4 calls:

818.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
651.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
583.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
116.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 1615 to 1418 computations (12.2% saved)

simplify142.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

246 → 246

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5044	6516

prune361.0ms (1.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	229	17	246
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	230	17	247

Merged error: 13.9b

Counts

247 → 17

Compiler

Compiled 6397 to 3327 computations (48% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (sin.f64 k) 2)
1.8b	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.1b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
20.2b	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite50.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

163×	`add-exp-log_binary64_457`
102×	`prod-exp_binary64_468`
87×	`add-cbrt-cube_binary64_455`
48×	`cbrt-unprod_binary64_452`
27×	`div-exp_binary64_470`
15×	`add-sqr-sqrt_binary64_441` `cbrt-undiv_binary64_453`
10×	`pow-exp_binary64_487` `pow-to-exp_binary64_488` `pow1_binary64_480`
9×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-r*_binary64_359`
7×	`unpow-prod-down_binary64_498`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `associate-l_binary64_360`
3×	`pow-prod-down_binary64_490` `sqr-pow_binary64_391` `pow-unpow_binary64_496` `unpow2_binary64_484`
2×	`*-commutative_binary64_350`
1×	`clear-num_binary64_418` `times-frac_binary64_425` `div-inv_binary64_416` `frac-2neg_binary64_430` `pow-pow_binary64_491` `associate-/r_binary64_363` `associate-/l_binary64_364`

Counts

4 → 124

Calls

4 calls:

16.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))
9.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

series922.0ms (3.7%)

Counts

4 → 33

Calls

4 calls:

584.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))
184.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
120.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
34.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1252 to 1048 computations (16.3% saved)

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5040	3018

prune179.0ms (0.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	149	8	157
Fresh	4	12	16
Picked	1	0	1
Done	0	0	0
Total	154	20	174

Merged error: 11.9b

Counts

174 → 20

Compiler

Compiled 3917 to 1790 computations (54.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))
0.3b	(pow.f64 (sin.f64 k) 2)
1.8b	(*.f64 t (pow.f64 (sin.f64 k) 2))
20.2b	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))

rewrite42.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

107×	`add-exp-log_binary64_457`
65×	`add-cbrt-cube_binary64_455`
64×	`prod-exp_binary64_468`
34×	`cbrt-unprod_binary64_452`
18×	`div-exp_binary64_470`
16×	`add-sqr-sqrt_binary64_441`
12×	`cbrt-undiv_binary64_453`
10×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
9×	`associate-r_binary64_359`
7×	`unpow-prod-down_binary64_498` `pow1_binary64_480`
6×	`pow-exp_binary64_487` `pow-to-exp_binary64_488` `associate-l_binary64_360`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387`
3×	`sqr-pow_binary64_391` `pow-unpow_binary64_496` `unpow2_binary64_484`
2×	`*-commutative_binary64_350`
1×	`pow-prod-down_binary64_490` `clear-num_binary64_418` `times-frac_binary64_425` `div-inv_binary64_416` `frac-2neg_binary64_430` `pow-pow_binary64_491` `associate-/r_binary64_363` `associate-/l_binary64_364`

Counts

4 → 107

Calls

4 calls:

15.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
7.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

series928.0ms (3.7%)

Counts

4 → 33

Calls

4 calls:

586.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
179.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))
133.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
29.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1264 to 1046 computations (17.2% saved)

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5024	2524

prune167.0ms (0.7%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	134	6	140
Fresh	4	15	19
Picked	1	0	1
Done	0	0	0
Total	139	21	160

Merged error: 11.2b

Counts

160 → 21

Compiler

Compiled 3590 to 1804 computations (49.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (sin.f64 k) 2)
1.8b	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.7b	(/.f64 (*.f64 l l) k)
13.9b	(/.f64 (.f64 (/.f64 (.f64 l l) k) (cos.f64 k)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite39.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

109×	`add-exp-log_binary64_457`
65×	`add-cbrt-cube_binary64_455`
52×	`prod-exp_binary64_468`
32×	`div-exp_binary64_470`
26×	`cbrt-unprod_binary64_452`
20×	`cbrt-undiv_binary64_453`
17×	`add-sqr-sqrt_binary64_441`
11×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
8×	`associate-r_binary64_359`
7×	`unpow-prod-down_binary64_498`
6×	`pow-exp_binary64_487` `pow-to-exp_binary64_488`
5×	`pow1_binary64_480`
4×	`times-frac_binary64_425` `add-log-exp_binary64_458` `unswap-sqr_binary64_387` `associate-/r*_binary64_363`
3×	`sqr-pow_binary64_391` `associate-l_binary64_360` `pow-unpow_binary64_496` `unpow2_binary64_484`
2×	`clear-num_binary64_418` `div-inv_binary64_416` `frac-2neg_binary64_430` `associate-/l*_binary64_364`
1×	`associate-l/_binary64_362` `-commutative_binary64_350` `pow-pow_binary64_491` `associate-/l/_binary64_366`

Counts

4 → 112

Calls

4 calls:

13.0ms	(/.f64 (.f64 (/.f64 (.f64 l l) k) (cos.f64 k)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.0ms	(/.f64 (*.f64 l l) k)
3.0ms	(pow.f64 (sin.f64 k) 2)

series790.0ms (3.2%)

Counts

4 → 31

Calls

4 calls:

555.0ms	(/.f64 (.f64 (/.f64 (.f64 l l) k) (cos.f64 k)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))
130.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
68.0ms	(/.f64 (*.f64 l l) k)
35.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1186 to 996 computations (16% saved)

simplify72.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4982	2465
1	4982	2465

prune141.0ms (0.6%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	136	7	143
Fresh	6	14	20
Picked	1	0	1
Done	0	0	0
Total	143	21	164

Merged error: 8.3b

Counts

164 → 21

Compiler

Compiled 3184 to 1344 computations (57.8% saved)

regimes1.1s (4.5%)

Compiler: Compiled 15166 to 11365 computations (25.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	29
1	19	29

end0.0ms (0%)

sample14.4s (58%)

Algorithm

1×

intervals

Results

4.1s	1248×	body	4096	invalid
2.1s	3872×	body	1024	valid
2.1s	1060×	body	2048	invalid
1.1s	481×	body	4096	valid
1.0s	1057×	body	2048	valid
517.0ms	1355×	body	512	valid
389.0ms	691×	body	1024	invalid
184.0ms	484×	body	512	invalid
138.0ms	1040×	body	128	invalid
135.0ms	476×	body	256	valid
108.0ms	759×	body	128	valid
69.0ms	264×	body	256	invalid

Compiler

Compiled 2251 to 1689 computations (25% saved)

Details

analyze2.5s (10%)

sample414.0ms (1.7%)

simplify105.0ms (0.4%)

prune9.0ms (0%)

localize16.0ms (0.1%)

rewrite94.0ms (0.4%)

series2.2s (8.8%)

simplify142.0ms (0.6%)

prune361.0ms (1.5%)

localize14.0ms (0.1%)

rewrite50.0ms (0.2%)

series922.0ms (3.7%)

simplify66.0ms (0.3%)

prune179.0ms (0.7%)

localize14.0ms (0.1%)

rewrite42.0ms (0.2%)

series928.0ms (3.7%)

simplify63.0ms (0.3%)

prune167.0ms (0.7%)

localize14.0ms (0.1%)

rewrite39.0ms (0.2%)

series790.0ms (3.2%)

simplify72.0ms (0.3%)

prune141.0ms (0.6%)

regimes1.1s (4.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample14.4s (58%)

Profiling