Details

analyze9.4s (6.8%)

Algorithm

2×	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%	0
0%	99.2%	0.8%	1
0%	99.2%	0.8%	1
0%	99.2%	0.8%	2
0%	99.2%	0.8%	2
0%	99.2%	0.8%	3
0%	99.2%	0.8%	3
0%	99.2%	0.8%	4
0%	99.2%	0.8%	4
0%	99.2%	0.8%	5
0%	99.2%	0.8%	5
0%	99.2%	0.8%	6
0%	99.2%	0.8%	6
0%	99.2%	0.8%	7
0%	99.2%	0.8%	7
0%	99.2%	0.8%	8
0%	99.2%	0.8%	8
0%	99.2%	0.8%	9
0%	99.2%	0.8%	9
0%	99.2%	0.8%	10
0%	99.2%	0.8%	10
0%	99.2%	0.8%	11
0%	99.2%	0.8%	11
0%	99.2%	0.8%	12
0%	99.2%	0.8%	12
0%	99.2%	0.8%	13
0%	99.2%	0.8%	13
0%	99.2%	0.8%	14
0%	99.2%	0.8%	14

Compiler

Compiled 192 to 128 computations (33.3% saved)

sample49.6s (35.9%)

Algorithm

2×

intervals

Results

911.0ms	4260×	body	128	invalid
102.0ms	512×	body	128	valid

Compiler

Compiled 229631 to 191343 computations (16.7% saved)

simplify45.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5169	142

prune8.0ms (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

24.5b

Counts

2 → 1

Compiler

Compiled 190 to 126 computations (33.7% saved)

localize64.0ms (0%)

Local error

Found 4 expressions with local error:

7.4b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
8.2b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
8.7b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
10.2b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

rewrite455.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

24.4b

Rules

24×	`flip3--_binary64_16109` `flip--_binary64_16080`
20×	`add-sqr-sqrt_binary64_16127`
16×	`frac-times_binary64_16115`
12×	`pow1_binary64_16166` `add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141` `add-cube-cbrt_binary64_16140` `-un-lft-identity_binary64_16105` `associate-l_binary64_16046` `associate-r*_binary64_16045`
8×	`sub-neg_binary64_16098` `distribute-rgt-in_binary64_16055` `cancel-sign-sub-inv_binary64_16071` `distribute-lft-in_binary64_16054` `associate-l/_binary64_16048` `associate-r/_binary64_16047`
4×	`pow-prod-down_binary64_16176` `prod-exp_binary64_16154` `add-log-exp_binary64_16144` `cbrt-unprod_binary64_16138` `unswap-sqr_binary64_16073` `*-commutative_binary64_16036`

Counts

4 → 120

Calls

4 calls:

16.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
10.0ms	(.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)))
9.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

Compiler

Compiled 13456 to 929 computations (93.1% saved)

series5.9s (4.3%)

Error

12.8b

Counts

4 → 192

Calls

4 calls:

1.4s	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
1.4s	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
1.3s	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
1.3s	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))

Compiler

Compiled 49632 to 20175 computations (59.4% saved)

simplify118.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

312 → 312

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4985	10220
1	4985	10220

prune889.0ms (0.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	293	19	312
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	294	19	313

Error

13.1b

Counts

313 → 19

Compiler

Compiled 34519 to 2276 computations (93.4% saved)

localize74.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.3b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
8.2b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
8.7b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
10.2b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

rewrite462.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

13.1b

Rules

24×	`flip3--_binary64_16109` `flip--_binary64_16080`
20×	`add-sqr-sqrt_binary64_16127`
16×	`frac-times_binary64_16115`
12×	`pow1_binary64_16166` `add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141` `add-cube-cbrt_binary64_16140` `-un-lft-identity_binary64_16105` `associate-l_binary64_16046` `associate-r*_binary64_16045`
8×	`sub-neg_binary64_16098` `distribute-rgt-in_binary64_16055` `cancel-sign-sub-inv_binary64_16071` `distribute-lft-in_binary64_16054` `associate-l/_binary64_16048` `associate-r/_binary64_16047`
4×	`pow-prod-down_binary64_16176` `prod-exp_binary64_16154` `add-log-exp_binary64_16144` `cbrt-unprod_binary64_16138` `unswap-sqr_binary64_16073` `*-commutative_binary64_16036`

Counts

4 → 120

Calls

4 calls:

16.0ms	(.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 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
10.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

Compiler

Compiled 15736 to 991 computations (93.7% saved)

series5.9s (4.3%)

Error

10.6b

Counts

4 → 192

Calls

4 calls:

1.4s	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
1.4s	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
1.3s	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
1.3s	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

Compiler

Compiled 58752 to 21040 computations (64.2% saved)

simplify117.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

312 → 312

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4984	10220
1	4984	10220

prune965.0ms (0.7%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	307	5	312
Fresh	0	18	18
Picked	1	0	1
Done	0	0	0
Total	308	23	331

Error

10.8b

Counts

331 → 23

Compiler

Compiled 40956 to 2610 computations (93.6% saved)

localize82.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.3b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
7.4b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
8.2b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
10.2b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

rewrite450.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

10.8b

Rules

24×	`flip3--_binary64_16109` `flip--_binary64_16080`
20×	`add-sqr-sqrt_binary64_16127`
16×	`frac-times_binary64_16115`
12×	`pow1_binary64_16166` `add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141` `add-cube-cbrt_binary64_16140` `-un-lft-identity_binary64_16105` `associate-l_binary64_16046` `associate-r*_binary64_16045`
8×	`sub-neg_binary64_16098` `distribute-rgt-in_binary64_16055` `cancel-sign-sub-inv_binary64_16071` `distribute-lft-in_binary64_16054` `associate-l/_binary64_16048` `associate-r/_binary64_16047`
4×	`pow-prod-down_binary64_16176` `prod-exp_binary64_16154` `add-log-exp_binary64_16144` `cbrt-unprod_binary64_16138` `unswap-sqr_binary64_16073` `*-commutative_binary64_16036`

Counts

4 → 120

Calls

4 calls:

11.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
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 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

Compiler

Compiled 15736 to 905 computations (94.2% saved)

series6.0s (4.4%)

Error

10.3b

Counts

4 → 192

Calls

4 calls:

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)))
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)))

Compiler

Compiled 58752 to 22171 computations (62.3% saved)

simplify121.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

312 → 312

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5036	10220

prune918.0ms (0.7%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	311	1	312
Fresh	1	21	22
Picked	1	0	1
Done	0	0	0
Total	313	22	335

Error

10.8b

Counts

335 → 22

Compiler

Compiled 40842 to 2449 computations (94% saved)

localize80.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.3b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
7.4b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
8.7b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
10.2b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

rewrite433.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

10.8b

Rules

24×	`flip3--_binary64_16109` `flip--_binary64_16080`
20×	`add-sqr-sqrt_binary64_16127`
16×	`frac-times_binary64_16115`
12×	`pow1_binary64_16166` `add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141` `add-cube-cbrt_binary64_16140` `-un-lft-identity_binary64_16105` `associate-l_binary64_16046` `associate-r*_binary64_16045`
8×	`sub-neg_binary64_16098` `distribute-rgt-in_binary64_16055` `cancel-sign-sub-inv_binary64_16071` `distribute-lft-in_binary64_16054` `associate-l/_binary64_16048` `associate-r/_binary64_16047`
4×	`pow-prod-down_binary64_16176` `prod-exp_binary64_16154` `add-log-exp_binary64_16144` `cbrt-unprod_binary64_16138` `unswap-sqr_binary64_16073` `*-commutative_binary64_16036`

Counts

4 → 120

Calls

4 calls:

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

Compiler

Compiled 15376 to 876 computations (94.3% saved)

series6.0s (4.3%)

Error

9.8b

Counts

4 → 192

Calls

4 calls:

1.4s	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
1.4s	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
1.3s	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
1.3s	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

Compiler

Compiled 57312 to 22360 computations (61% saved)

simplify119.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

312 → 312

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4977	10220
1	4977	10220

prune867.0ms (0.6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	307	5	312
Fresh	4	17	21
Picked	1	0	1
Done	0	0	0
Total	312	22	334

Error

10.3b

Counts

334 → 22

Compiler

Compiled 37580 to 963 computations (97.4% saved)

regimes19.5s (14.1%)

Accuracy

Total 17.3b remaining (58.7%)

Threshold costs 0b (0%)

Compiler

Compiled 304573 to 186771 computations (38.7% saved)

bsearch2.6s (1.9%)

Steps

Iters	Range		Point
9	8.263627430766668e+88	1.2854199726115243e+95	8.391859697589803e+88
7	3.0680524233495136e+49	4.7827870574608685e+51	1.6725093304244018e+50
9	8.218111294575544e-59	2.4393642373670584e-51	8.616277803303492e-57
6	3.8619341703463996e-294	2.515285642913693e-293	1.1086569669250416e-293
7	-5.258467533705047e-59	-4.337437697925697e-61	-1.9060067637888443e-60
9	-6.929958755455365e+143	-5.684389349704475e+138	-1.6144458140145836e+142

Compiler

Compiled 1 to 16 computations (-1500% saved)

simplify210.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (198.0ms)

Iter	Nodes	Cost
0	4228	1240
1	4228	1240

end0.0ms (0%)

sample26.8s (19.4%)

Algorithm

1×

intervals

Results

12.3s	63495×	body	128	invalid
1.5s	8000×	body	128	valid

Compiler

Compiled 19534 to 11398 computations (41.7% saved)

Details

analyze9.4s (6.8%)

sample49.6s (35.9%)

simplify45.0ms (0%)

prune8.0ms (0%)

localize64.0ms (0%)

rewrite455.0ms (0.3%)

series5.9s (4.3%)

simplify118.0ms (0.1%)

prune889.0ms (0.6%)

localize74.0ms (0.1%)

rewrite462.0ms (0.3%)

series5.9s (4.3%)

simplify117.0ms (0.1%)

prune965.0ms (0.7%)

localize82.0ms (0.1%)

rewrite450.0ms (0.3%)

series6.0s (4.4%)

simplify121.0ms (0.1%)

prune918.0ms (0.7%)

localize80.0ms (0.1%)

rewrite433.0ms (0.3%)

series6.0s (4.3%)

simplify119.0ms (0.1%)

prune867.0ms (0.6%)

regimes19.5s (14.1%)

bsearch2.6s (1.9%)

simplify210.0ms (0.2%)

end0.0ms (0%)

sample26.8s (19.4%)

Profiling