Details

analyze1.0s (8.6%)

Algorithm

1×

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
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample56.0ms (0.5%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
8.0ms	91×	body	128	invalid

Compiler

Compiled 31 to 31 computations (0% saved)

simplify613.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (501.0ms)

Iter	Nodes	Cost
0	4800	16
1	4800	16

prune4.0ms (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

Error

0.3b

Counts

2 → 2

Compiler

Compiled 37 to 33 computations (10.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
0.3b	(/.f64 y (*.f64 z 3))
0.4b	(.f64 (.f64 z 3) y)
6.3b	(/.f64 t (.f64 (.f64 z 3) y))

rewrite170.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
16×	`*-un-lft-identity_binary64_19174`
11×	`add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196`
9×	`pow1_binary64_19235` `add-log-exp_binary64_19213` `times-frac_binary64_19180`
8×	`associate-+l+_binary64_19107`
7×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `cancel-sign-sub-inv_binary64_19140`
6×	`associate-/l*_binary64_19119`
5×	`div-exp_binary64_19225` `cbrt-undiv_binary64_19208`
3×	`div-inv_binary64_19171` `pow-prod-down_binary64_19245` `associate-r_binary64_19114`
2×	`frac-2neg_binary64_19185` `clear-num_binary64_19173` `associate-/r*_binary64_19118` `sum-log_binary64_19265` `frac-add_binary64_19182` `distribute-lft-out_binary64_19125`
1×	`associate-l_binary64_19115` `*-commutative_binary64_19105` `diff-log_binary64_19266` `flip3--_binary64_19178` `flip--_binary64_19149` `flip3-+_binary64_19177` `flip-+_binary64_19148` `distribute-lft-out--_binary64_19126` `associate-+l-_binary64_19109` `sub-neg_binary64_19167` `+-commutative_binary64_19104`

Counts

4 → 87

Calls

4 calls:

12.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
7.0ms	(/.f64 y (*.f64 z 3))
6.0ms	(/.f64 t (.f64 (.f64 z 3) y))
6.0ms	(.f64 (.f64 z 3) y)

Compiler

Compiled 1982 to 1218 computations (38.5% saved)

series784.0ms (6.8%)

Error

0.1b

Counts

4 → 48

Calls

4 calls:

480.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
127.0ms	(/.f64 t (.f64 (.f64 z 3) y))
68.0ms	(.f64 (.f64 z 3) y)
61.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 1663 to 1240 computations (25.4% saved)

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4969	1888
1	4969	1888

prune171.0ms (1.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	125	10	135
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	126	11	137

Error

0.0b

Counts

137 → 11

Compiler

Compiled 2499 to 1383 computations (44.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t (.f64 z 3)) y))
0.3b	(/.f64 y (*.f64 z 3))
0.4b	(/.f64 t (*.f64 z 3))
4.9b	(/.f64 (/.f64 t (*.f64 z 3)) y)

rewrite194.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`times-frac_binary64_19180`
31×	`*-un-lft-identity_binary64_19174`
26×	`add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196`
23×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
13×	`associate-/l*_binary64_19119`
9×	`div-exp_binary64_19225` `add-log-exp_binary64_19213` `cbrt-undiv_binary64_19208`
8×	`div-inv_binary64_19171` `associate-+l+_binary64_19107`
7×	`cancel-sign-sub-inv_binary64_19140`
5×	`associate-/r*_binary64_19118`
4×	`pow1_binary64_19235`
3×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `frac-2neg_binary64_19185` `clear-num_binary64_19173`
2×	`sum-log_binary64_19265` `frac-add_binary64_19182` `distribute-lft-out_binary64_19125`
1×	`associate-/l/_binary64_19121` `diff-log_binary64_19266` `flip3--_binary64_19178` `flip--_binary64_19149` `flip3-+_binary64_19177` `flip-+_binary64_19148` `distribute-lft-out--_binary64_19126` `associate-+l-_binary64_19109` `sub-neg_binary64_19167` `+-commutative_binary64_19104`

Counts

4 → 115

Calls

4 calls:

17.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t (.f64 z 3)) y))
6.0ms	(/.f64 (/.f64 t (*.f64 z 3)) y)
4.0ms	(/.f64 t (*.f64 z 3))
4.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 2647 to 1585 computations (40.1% saved)

series750.0ms (6.5%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

442.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t (.f64 z 3)) y))
154.0ms	(/.f64 (/.f64 t (*.f64 z 3)) y)
62.0ms	(/.f64 t (*.f64 z 3))
53.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 1663 to 1241 computations (25.4% saved)

simplify98.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4973	2312
1	4973	2312

prune201.0ms (1.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	160	3	163
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	166	8	174

Error

Counts

174 → 8

Compiler

Compiled 3017 to 1600 computations (47% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) 3) y))
0.2b	(/.f64 (/.f64 t z) 3)
0.3b	(/.f64 y (*.f64 z 3))
4.9b	(/.f64 (/.f64 (/.f64 t z) 3) y)

rewrite679.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

474×	`times-frac_binary64_19180`
239×	`*-un-lft-identity_binary64_19174`
234×	`add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196`
59×	`associate-/l*_binary64_19119`
24×	`div-inv_binary64_19171`
23×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
11×	`div-exp_binary64_19225` `cbrt-undiv_binary64_19208`
9×	`add-log-exp_binary64_19213`
8×	`associate-+l+_binary64_19107`
7×	`associate-/r*_binary64_19118` `cancel-sign-sub-inv_binary64_19140`
4×	`pow1_binary64_19235`
3×	`frac-2neg_binary64_19185` `clear-num_binary64_19173`
2×	`associate-/l/_binary64_19121` `sum-log_binary64_19265` `frac-add_binary64_19182` `distribute-lft-out_binary64_19125`
1×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `diff-log_binary64_19266` `flip3--_binary64_19178` `flip--_binary64_19149` `flip3-+_binary64_19177` `flip-+_binary64_19148` `distribute-lft-out--_binary64_19126` `associate-+l-_binary64_19109` `sub-neg_binary64_19167` `+-commutative_binary64_19104`

Counts

4 → 308

Calls

4 calls:

61.0ms	(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) 3) y))
17.0ms	(/.f64 (/.f64 (/.f64 t z) 3) y)
6.0ms	(/.f64 (/.f64 t z) 3)
4.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 8374 to 4418 computations (47.2% saved)

series760.0ms (6.6%)

Error

Counts

4 → 48

Calls

4 calls:

439.0ms	(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) 3) y))
148.0ms	(/.f64 (/.f64 (/.f64 t z) 3) y)
75.0ms	(/.f64 (/.f64 t z) 3)
62.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 1663 to 1235 computations (25.7% saved)

simplify107.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5110	7530

prune592.0ms (5.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	354	2	356
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	356	8	364

Error

Counts

364 → 8

Compiler

Compiled 8488 to 4235 computations (50.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (.f64 1/3 (/.f64 t z)) y))
0.3b	(/.f64 y (*.f64 z 3))
0.3b	(*.f64 1/3 (/.f64 t z))
4.9b	(/.f64 (*.f64 1/3 (/.f64 t z)) y)

rewrite172.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210` `add-sqr-sqrt_binary64_19196` `*-un-lft-identity_binary64_19174`
19×	`times-frac_binary64_19180`
18×	`add-cube-cbrt_binary64_19209`
13×	`associate-r_binary64_19114`
9×	`add-log-exp_binary64_19213`
8×	`associate-+l+_binary64_19107`
7×	`div-exp_binary64_19225` `cbrt-undiv_binary64_19208` `cancel-sign-sub-inv_binary64_19140`
6×	`pow1_binary64_19235`
5×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207`
4×	`div-inv_binary64_19171` `associate-/l_binary64_19119` `associate-/r_binary64_19118`
3×	`associate-l_binary64_19115`
2×	`frac-2neg_binary64_19185` `clear-num_binary64_19173` `associate-*r/_binary64_19116` `unswap-sqr_binary64_19142` `sum-log_binary64_19265` `frac-add_binary64_19182` `distribute-lft-out_binary64_19125`
1×	`associate-/l/_binary64_19121` `pow-prod-down_binary64_19245` `*-commutative_binary64_19105` `diff-log_binary64_19266` `flip3--_binary64_19178` `flip--_binary64_19149` `flip3-+_binary64_19177` `flip-+_binary64_19148` `distribute-lft-out--_binary64_19126` `associate-+l-_binary64_19109` `sub-neg_binary64_19167` `+-commutative_binary64_19104`

Counts

4 → 102

Calls

4 calls:

15.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (.f64 1/3 (/.f64 t z)) y))
9.0ms	(/.f64 (*.f64 1/3 (/.f64 t z)) y)
7.0ms	(*.f64 1/3 (/.f64 t z))
4.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 2318 to 1287 computations (44.5% saved)

series782.0ms (6.7%)

Error

Counts

4 → 48

Calls

4 calls:

421.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (.f64 1/3 (/.f64 t z)) y))
190.0ms	(/.f64 (*.f64 1/3 (/.f64 t z)) y)
70.0ms	(*.f64 1/3 (/.f64 t z))
63.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 1663 to 1235 computations (25.7% saved)

simplify110.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4971	1924
1	4971	1924

prune155.0ms (1.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	150	8	158

Error

Counts

158 → 8

Compiler

Compiled 2510 to 1249 computations (50.2% saved)

regimes1.4s (11.7%)

Accuracy

Total 1.0b remaining (99.7%)

Threshold costs 1.0b (99.7%)

Compiler

Compiled 10127 to 8362 computations (17.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	46
1	39	46

end0.0ms (0%)

sample2.7s (23.1%)

Algorithm

1×

intervals

Results

420.0ms	8000×	body	128	valid
160.0ms	3070×	body	128	invalid

Compiler

Compiled 1659 to 1366 computations (17.7% saved)

Details

analyze1.0s (8.6%)

sample56.0ms (0.5%)

simplify613.0ms (5.3%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite170.0ms (1.5%)

series784.0ms (6.8%)

simplify97.0ms (0.8%)

prune171.0ms (1.5%)

localize13.0ms (0.1%)

rewrite194.0ms (1.7%)

series750.0ms (6.5%)

simplify98.0ms (0.8%)

prune201.0ms (1.7%)

localize11.0ms (0.1%)

rewrite679.0ms (5.9%)

series760.0ms (6.6%)

simplify107.0ms (0.9%)

prune592.0ms (5.1%)

localize11.0ms (0.1%)

rewrite172.0ms (1.5%)

series782.0ms (6.7%)

simplify110.0ms (0.9%)

prune155.0ms (1.3%)

regimes1.4s (11.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.7s (23.1%)

Profiling