Details

analyze5.1s (7.9%)

Algorithm

1×

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)

sample892.0ms (1.4%)

Algorithm

1×

intervals

Results

627.0ms	2111×	body	128	invalid
53.0ms	256×	body	128	valid

Compiler

Compiled 191 to 143 computations (25.1% saved)

simplify142.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5169	142

prune7.0ms (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

Merged error: 28.6b

Counts

2 → 1

Compiler

Compiled 190 to 126 computations (33.7% saved)

localize68.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.5b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
11.5b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
12.2b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
12.2b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))

rewrite74.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64_15086` `flip--_binary64_15057`
20×	`add-sqr-sqrt_binary64_15104`
16×	`frac-times_binary64_15092`
12×	`add-cube-cbrt_binary64_15117` `add-cbrt-cube_binary64_15118` `-un-lft-identity_binary64_15082` `pow1_binary64_15143` `associate-l_binary64_15023` `add-exp-log_binary64_15120` `associate-r*_binary64_15022`
8×	`cancel-sign-sub-inv_binary64_15048` `distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `sub-neg_binary64_15075` `associate-l/_binary64_15025` `associate-r/_binary64_15024`
4×	`pow-prod-down_binary64_15153` `unswap-sqr_binary64_15050` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `add-log-exp_binary64_15121` `*-commutative_binary64_15013`

Counts

4 → 120

Calls

4 calls:

11.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
11.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c 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)))

series3.8s (5.9%)

Counts

4 → 192

Calls

4 calls:

971.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
958.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
937.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
928.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

Compiler

Compiled 30144 to 19548 computations (35.2% saved)

simplify104.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

312 → 312

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5354	10220

prune777.0ms (1.2%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	287	25	312
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	288	25	313

Merged error: 18.9b

Counts

313 → 25

Compiler

Compiled 35250 to 3665 computations (89.6% saved)

localize74.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.4b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
9.5b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
12.2b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
12.2b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))

rewrite81.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64_15086` `flip--_binary64_15057`
20×	`add-sqr-sqrt_binary64_15104`
16×	`frac-times_binary64_15092`
12×	`add-cube-cbrt_binary64_15117` `add-cbrt-cube_binary64_15118` `-un-lft-identity_binary64_15082` `pow1_binary64_15143` `associate-l_binary64_15023` `add-exp-log_binary64_15120` `associate-r*_binary64_15022`
8×	`cancel-sign-sub-inv_binary64_15048` `distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `sub-neg_binary64_15075` `associate-l/_binary64_15025` `associate-r/_binary64_15024`
4×	`pow-prod-down_binary64_15153` `unswap-sqr_binary64_15050` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `add-log-exp_binary64_15121` `*-commutative_binary64_15013`

Counts

4 → 120

Calls

4 calls:

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

series3.7s (5.8%)

Counts

4 → 190

Calls

4 calls:

966.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
960.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
938.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
884.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

Compiler

Compiled 34498 to 21338 computations (38.1% saved)

simplify105.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

310 → 310

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5436	10128

prune762.0ms (1.2%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	300	10	310
Fresh	4	20	24
Picked	1	0	1
Done	0	0	0
Total	305	30	335

Merged error: 16.1b

Counts

335 → 30

Compiler

Compiled 40673 to 3935 computations (90.3% saved)

localize89.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.2b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
8.4b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
9.5b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
12.2b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))

rewrite80.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64_15086` `flip--_binary64_15057`
20×	`add-sqr-sqrt_binary64_15104`
16×	`frac-times_binary64_15092`
12×	`add-cube-cbrt_binary64_15117` `add-cbrt-cube_binary64_15118` `-un-lft-identity_binary64_15082` `pow1_binary64_15143` `associate-l_binary64_15023` `add-exp-log_binary64_15120` `associate-r*_binary64_15022`
8×	`cancel-sign-sub-inv_binary64_15048` `distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `sub-neg_binary64_15075` `associate-l/_binary64_15025` `associate-r/_binary64_15024`
4×	`pow-prod-down_binary64_15153` `unswap-sqr_binary64_15050` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `add-log-exp_binary64_15121` `*-commutative_binary64_15013`

Counts

4 → 120

Calls

4 calls:

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

series3.8s (5.9%)

Counts

4 → 190

Calls

4 calls:

983.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
969.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
962.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
935.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

Compiler

Compiled 39074 to 23616 computations (39.6% saved)

simplify104.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

310 → 310

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5339	10128

prune872.0ms (1.3%)

Pruning

39 alts after pruning (39 fresh and 0 done)

	Pruned	Kept	Total
New	296	14	310
Fresh	4	25	29
Picked	1	0	1
Done	0	0	0
Total	301	39	340

Merged error: 13.3b

Counts

340 → 39

Compiler

Compiled 46973 to 4638 computations (90.1% saved)

localize95.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.5b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
12.2b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
12.2b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
12.2b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))

rewrite96.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64_15086` `flip--_binary64_15057`
20×	`add-sqr-sqrt_binary64_15104`
16×	`frac-times_binary64_15092`
12×	`add-cube-cbrt_binary64_15117` `add-cbrt-cube_binary64_15118` `-un-lft-identity_binary64_15082` `pow1_binary64_15143` `associate-l_binary64_15023` `add-exp-log_binary64_15120` `associate-r*_binary64_15022`
8×	`cancel-sign-sub-inv_binary64_15048` `distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `sub-neg_binary64_15075` `associate-l/_binary64_15025` `associate-r/_binary64_15024`
4×	`pow-prod-down_binary64_15153` `unswap-sqr_binary64_15050` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `add-log-exp_binary64_15121` `*-commutative_binary64_15013`

Counts

4 → 120

Calls

4 calls:

15.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
11.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c 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)))

series4.2s (6.4%)

Counts

4 → 192

Calls

4 calls:

1.1s	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
1.0s	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
1.0s	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
1.0s	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

Compiler

Compiled 49440 to 26274 computations (46.9% saved)

simplify119.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

312 → 312

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4993	10154
1	4993	10154

prune792.0ms (1.2%)

Pruning

38 alts after pruning (38 fresh and 0 done)

	Pruned	Kept	Total
New	311	1	312
Fresh	1	37	38
Picked	1	0	1
Done	0	0	0
Total	313	38	351

Merged error: 13.3b

Counts

351 → 38

Compiler

Compiled 53448 to 2107 computations (96.1% saved)

regimes11.4s (17.6%)

Compiler: Compiled 208642 to 127900 computations (38.7% saved)

bsearch26.0ms (0%)

Compiler: Compiled 95 to 63 computations (33.7% saved)

simplify119.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	2779	816
1	2779	816

end0.0ms (0%)

sample27.3s (42.1%)

Algorithm

1×

intervals

Results

14.4s	64863×	body	128	invalid
1.8s	8000×	body	128	valid

Compiler

Compiled 13608 to 7869 computations (42.2% saved)

Details

analyze5.1s (7.9%)

sample892.0ms (1.4%)

simplify142.0ms (0.2%)

prune7.0ms (0%)

localize68.0ms (0.1%)

rewrite74.0ms (0.1%)

series3.8s (5.9%)

simplify104.0ms (0.2%)

prune777.0ms (1.2%)

localize74.0ms (0.1%)

rewrite81.0ms (0.1%)

series3.7s (5.8%)

simplify105.0ms (0.2%)

prune762.0ms (1.2%)

localize89.0ms (0.1%)

rewrite80.0ms (0.1%)

series3.8s (5.9%)

simplify104.0ms (0.2%)

prune872.0ms (1.3%)

localize95.0ms (0.1%)

rewrite96.0ms (0.1%)

series4.2s (6.4%)

simplify119.0ms (0.2%)

prune792.0ms (1.2%)

regimes11.4s (17.6%)

bsearch26.0ms (0%)

simplify119.0ms (0.2%)

end0.0ms (0%)

sample27.3s (42.1%)

Profiling