Details

analyze5.1s (3.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5274	17182
0	16	16
1	16	16

Search

True	Other	False	Iter
0%	99.2%	0.8%	0
0%	99.2%	0.8%	1
0%	99.2%	0.8%	2
0%	99.2%	0.8%	3
0%	99.2%	0.8%	4
0%	99.2%	0.8%	5
0%	99.2%	0.8%	6
0%	99.2%	0.8%	7
0%	99.2%	0.8%	8
0%	99.2%	0.8%	9
0%	99.2%	0.8%	10
0%	99.2%	0.8%	11
0%	99.2%	0.8%	12
0%	99.2%	0.8%	13
0%	99.2%	0.8%	14

Compiler

Compiled 96 to 64 computations (33.3% saved)

sample711.0ms (0.5%)

Algorithm

1×

intervals

Results

424.0ms	2052×	body	128	invalid
52.0ms	256×	body	128	valid

Compiler

Compiled 191 to 143 computations (25.1% saved)

simplify43.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5169	142

prune10.0ms (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

30.6b

Counts

2 → 1

Compiler

Compiled 190 to 126 computations (33.7% saved)

localize69.0ms (0%)

Local error

Found 4 expressions with local error:

10.3b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
10.5b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
10.6b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
11.3b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

rewrite714.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

30.5b

Rules

24×	`flip3--_binary64_18837` `flip--_binary64_18808`
20×	`add-sqr-sqrt_binary64_18855`
16×	`frac-times_binary64_18843`
12×	`pow1_binary64_18894` `add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869` `add-cube-cbrt_binary64_18868` `-un-lft-identity_binary64_18833` `associate-l_binary64_18774` `associate-r*_binary64_18773`
8×	`sub-neg_binary64_18826` `distribute-rgt-in_binary64_18783` `cancel-sign-sub-inv_binary64_18799` `distribute-lft-in_binary64_18782` `associate-l/_binary64_18776` `associate-r/_binary64_18775`
4×	`pow-prod-down_binary64_18904` `prod-exp_binary64_18882` `add-log-exp_binary64_18872` `cbrt-unprod_binary64_18866` `unswap-sqr_binary64_18801` `*-commutative_binary64_18764`

Counts

4 → 120

Calls

4 calls:

15.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
11.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
10.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
10.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

Compiler

Compiled 12680 to 860 computations (93.2% saved)

series5.8s (3.9%)

Error

17.6b

Counts

4 → 192

Calls

4 calls:

1.4s	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
1.4s	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
1.4s	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
1.4s	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))

Compiler

Compiled 35108 to 19958 computations (43.2% saved)

simplify119.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

312 → 312

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5036	10220

prune846.0ms (0.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	292	20	312
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	293	20	313

Error

19.4b

Counts

313 → 20

Compiler

Compiled 15497 to 2268 computations (85.4% saved)

localize77.0ms (0.1%)

Local error

Found 4 expressions with local error:

10.2b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
10.3b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
10.6b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
11.3b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

rewrite995.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

19.3b

Rules

24×	`flip3--_binary64_18837` `flip--_binary64_18808`
20×	`add-sqr-sqrt_binary64_18855`
16×	`frac-times_binary64_18843`
12×	`pow1_binary64_18894` `add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869` `add-cube-cbrt_binary64_18868` `-un-lft-identity_binary64_18833` `associate-l_binary64_18774` `associate-r*_binary64_18773`
8×	`sub-neg_binary64_18826` `distribute-rgt-in_binary64_18783` `cancel-sign-sub-inv_binary64_18799` `distribute-lft-in_binary64_18782` `associate-l/_binary64_18776` `associate-r/_binary64_18775`
4×	`pow-prod-down_binary64_18904` `prod-exp_binary64_18882` `add-log-exp_binary64_18872` `cbrt-unprod_binary64_18866` `unswap-sqr_binary64_18801` `*-commutative_binary64_18764`

Counts

4 → 120

Calls

4 calls:

15.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
10.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
10.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
10.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

Compiler

Compiled 13688 to 834 computations (93.9% saved)

series5.9s (4%)

Error

14.1b

Counts

4 → 192

Calls

4 calls:

1.5s	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
1.4s	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
1.4s	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
1.4s	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))

Compiler

Compiled 37874 to 20506 computations (45.9% saved)

simplify120.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

312 → 312

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4977	10220
1	4977	10220

prune1.1s (0.7%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	297	15	312
Fresh	9	10	19
Picked	1	0	1
Done	0	0	0
Total	307	25	332

Error

15.8b

Counts

332 → 25

Compiler

Compiled 17278 to 2621 computations (84.8% saved)

localize81.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.7b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
10.3b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
10.6b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
11.3b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

rewrite1.2s (0.8%)

Algorithm

1×	rewrite-expression-head

Error

15.8b

Rules

24×	`flip3--_binary64_18837` `flip--_binary64_18808`
20×	`add-sqr-sqrt_binary64_18855`
16×	`frac-times_binary64_18843`
12×	`pow1_binary64_18894` `add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869` `add-cube-cbrt_binary64_18868` `-un-lft-identity_binary64_18833` `associate-l_binary64_18774` `associate-r*_binary64_18773`
8×	`sub-neg_binary64_18826` `distribute-rgt-in_binary64_18783` `cancel-sign-sub-inv_binary64_18799` `distribute-lft-in_binary64_18782` `associate-l/_binary64_18776` `associate-r/_binary64_18775`
4×	`pow-prod-down_binary64_18904` `prod-exp_binary64_18882` `add-log-exp_binary64_18872` `cbrt-unprod_binary64_18866` `unswap-sqr_binary64_18801` `*-commutative_binary64_18764`

Counts

4 → 120

Calls

4 calls:

10.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
10.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
10.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
9.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

Compiler

Compiled 14696 to 864 computations (94.1% saved)

series6.0s (4%)

Error

10.8b

Counts

4 → 192

Calls

4 calls:

1.5s	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
1.5s	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
1.4s	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
1.4s	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))

Compiler

Compiled 41156 to 21115 computations (48.7% saved)

simplify119.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

312 → 312

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5029	10220

prune1.4s (0.9%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	304	8	312
Fresh	2	22	24
Picked	1	0	1
Done	0	0	0
Total	307	30	337

Error

12.8b

Counts

337 → 30

Compiler

Compiled 19039 to 3005 computations (84.2% saved)

localize82.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.7b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
10.3b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
10.4b	(.f64 (.f64 y4 y1) (-.f64 (.f64 y2 k) (.f64 y3 j)))
11.3b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

rewrite1.8s (1.2%)

Algorithm

1×	rewrite-expression-head

Error

12.7b

Rules

19×	`flip3--_binary64_18837` `flip--_binary64_18808`
17×	`add-sqr-sqrt_binary64_18855`
15×	`pow1_binary64_18894` `add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
12×	`frac-times_binary64_18843` `associate-r_binary64_18773`
11×	`add-cube-cbrt_binary64_18868` `*-un-lft-identity_binary64_18833`
10×	`associate-l_binary64_18774`
8×	`sub-neg_binary64_18826` `distribute-rgt-in_binary64_18783` `cancel-sign-sub-inv_binary64_18799` `distribute-lft-in_binary64_18782` `associate-*r/_binary64_18775`
6×	`pow-prod-down_binary64_18904` `prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `associate-*l/_binary64_18776`
4×	`add-log-exp_binary64_18872` `*-commutative_binary64_18764`
3×	`unswap-sqr_binary64_18801`

Counts

4 → 114

Calls

4 calls:

11.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
10.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
10.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
8.0ms	(.f64 (.f64 y4 y1) (-.f64 (.f64 y2 k) (.f64 y3 j)))

Compiler

Compiled 14688 to 840 computations (94.3% saved)

series5.6s (3.8%)

Error

10.7b

Counts

4 → 174

Calls

4 calls:

1.5s	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
1.4s	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
1.4s	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
777.0ms	(.f64 (.f64 y4 y1) (-.f64 (.f64 y2 k) (.f64 y3 j)))

Compiler

Compiled 40506 to 19840 computations (51% saved)

simplify122.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5373	8534

prune1.2s (0.8%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	281	7	288
Fresh	7	22	29
Picked	1	0	1
Done	0	0	0
Total	289	29	318

Error

11.9b

Counts

318 → 29

Compiler

Compiled 14394 to 867 computations (94% saved)

regimes1.8min (73.9%)

Compiler: Compiled 1384735 to 828030 computations (40.2% saved)

Details

analyze5.1s (3.4%)

sample711.0ms (0.5%)

simplify43.0ms (0%)

prune10.0ms (0%)

localize69.0ms (0%)

rewrite714.0ms (0.5%)

series5.8s (3.9%)

simplify119.0ms (0.1%)

prune846.0ms (0.6%)

localize77.0ms (0.1%)

rewrite995.0ms (0.7%)

series5.9s (4%)

simplify120.0ms (0.1%)

prune1.1s (0.7%)

localize81.0ms (0.1%)

rewrite1.2s (0.8%)

series6.0s (4%)

simplify119.0ms (0.1%)

prune1.4s (0.9%)

localize82.0ms (0.1%)

rewrite1.8s (1.2%)

series5.6s (3.8%)

simplify122.0ms (0.1%)

prune1.2s (0.8%)

regimes1.8min (73.9%)

Profiling