Details

analyze5.1s (12.7%)

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)

sample697.0ms (1.7%)

Algorithm

1×

intervals

Results

427.0ms	2061×	body	128	invalid
56.0ms	256×	body	128	valid

Compiler

Compiled 191 to 143 computations (25.1% saved)

simplify201.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5138	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

Merged error: 25.9b

Counts

2 → 1

Compiler

Compiled 190 to 126 computations (33.7% saved)

localize63.0ms (0.2%)

Local error

Found 4 expressions with local error:

9.1b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
9.1b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
9.1b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
9.3b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))

rewrite79.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64_18953` `flip--_binary64_18924`
20×	`add-sqr-sqrt_binary64_18970`
16×	`frac-times_binary64_18959`
12×	`add-cube-cbrt_binary64_18981` `pow1_binary64_19007` `associate-r_binary64_18891` `add-exp-log_binary64_18984` `associate-l_binary64_18892` `*-un-lft-identity_binary64_18949` `add-cbrt-cube_binary64_18982`
8×	`associate-l/_binary64_18894` `associate-r/_binary64_18893` `sub-neg_binary64_18942`
4×	`distribute-lft-in_binary64_18900` `prod-exp_binary64_18995` `cbrt-unprod_binary64_18979` `pow-prod-down_binary64_19017` `*-commutative_binary64_18882` `distribute-rgt-in_binary64_18901` `add-log-exp_binary64_18985` `unswap-sqr_binary64_18917`

Counts

4 → 112

Calls

4 calls:

14.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
11.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
11.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
11.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))

series1.8s (4.3%)

Counts

4 → 12

Calls

4 calls:

453.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
439.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
434.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
432.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))

simplify76.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4996	4158
1	4996	4158

prune401.0ms (1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	106	18	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	18	125

Merged error: 17.9b

Counts

125 → 18

Compiler

Compiled 15335 to 2186 computations (85.7% saved)

localize70.0ms (0.2%)

Local error

Found 4 expressions with local error:

9.1b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 c y0) (*.f64 a y1)))
9.1b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 c y0) (*.f64 a y1)))
9.1b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
9.3b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))

rewrite85.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64_18953` `flip--_binary64_18924`
20×	`add-sqr-sqrt_binary64_18970`
16×	`frac-times_binary64_18959`
12×	`add-cube-cbrt_binary64_18981` `pow1_binary64_19007` `associate-r_binary64_18891` `add-exp-log_binary64_18984` `associate-l_binary64_18892` `*-un-lft-identity_binary64_18949` `add-cbrt-cube_binary64_18982`
8×	`associate-l/_binary64_18894` `associate-r/_binary64_18893` `sub-neg_binary64_18942`
4×	`distribute-lft-in_binary64_18900` `prod-exp_binary64_18995` `cbrt-unprod_binary64_18979` `pow-prod-down_binary64_19017` `*-commutative_binary64_18882` `distribute-rgt-in_binary64_18901` `add-log-exp_binary64_18985` `unswap-sqr_binary64_18917`

Counts

4 → 112

Calls

4 calls:

12.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 c y0) (*.f64 a y1)))
11.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 c y0) (*.f64 a y1)))
11.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
11.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

series1.8s (4.4%)

Counts

4 → 12

Calls

4 calls:

449.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
446.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
436.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 c y0) (*.f64 a y1)))
434.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 c y0) (*.f64 a y1)))

simplify72.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5094	4152

prune368.0ms (0.9%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	17	17
Picked	0	1	1
Done	0	0	0
Total	123	19	142

Merged error: 17.9b

Counts

142 → 19

Compiler

Compiled 19690 to 2197 computations (88.8% saved)

localize79.0ms (0.2%)

Local error

Found 4 expressions with local error:

9.1b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 c y0) (*.f64 a y1)))
9.1b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 c y0) (*.f64 a y1)))
9.1b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
9.3b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))

rewrite92.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64_18953` `flip--_binary64_18924`
20×	`add-sqr-sqrt_binary64_18970`
16×	`frac-times_binary64_18959`
12×	`add-cube-cbrt_binary64_18981` `pow1_binary64_19007` `associate-r_binary64_18891` `add-exp-log_binary64_18984` `associate-l_binary64_18892` `*-un-lft-identity_binary64_18949` `add-cbrt-cube_binary64_18982`
8×	`associate-l/_binary64_18894` `associate-r/_binary64_18893` `sub-neg_binary64_18942`
4×	`distribute-lft-in_binary64_18900` `prod-exp_binary64_18995` `cbrt-unprod_binary64_18979` `pow-prod-down_binary64_19017` `*-commutative_binary64_18882` `distribute-rgt-in_binary64_18901` `add-log-exp_binary64_18985` `unswap-sqr_binary64_18917`

Counts

4 → 112

Calls

4 calls:

13.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 c y0) (*.f64 a y1)))
12.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 c y0) (*.f64 a y1)))
11.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
11.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

series1.7s (4.2%)

Counts

4 → 12

Calls

4 calls:

435.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
432.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
425.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 c y0) (*.f64 a y1)))
418.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 c y0) (*.f64 a y1)))

simplify72.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5094	4152

prune399.0ms (1%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	17	17
Picked	0	1	1
Done	0	1	1
Total	124	19	143

Merged error: 17.9b

Counts

143 → 19

Compiler

Compiled 21897 to 2154 computations (90.2% saved)

localize71.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.5b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
9.1b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
9.1b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
9.1b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

rewrite80.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64_18953` `flip--_binary64_18924`
20×	`add-sqr-sqrt_binary64_18970`
16×	`frac-times_binary64_18959`
12×	`add-cube-cbrt_binary64_18981` `pow1_binary64_19007` `associate-r_binary64_18891` `add-exp-log_binary64_18984` `associate-l_binary64_18892` `*-un-lft-identity_binary64_18949` `add-cbrt-cube_binary64_18982`
8×	`associate-l/_binary64_18894` `associate-r/_binary64_18893` `sub-neg_binary64_18942`
4×	`distribute-lft-in_binary64_18900` `prod-exp_binary64_18995` `cbrt-unprod_binary64_18979` `pow-prod-down_binary64_19017` `*-commutative_binary64_18882` `distribute-rgt-in_binary64_18901` `add-log-exp_binary64_18985` `unswap-sqr_binary64_18917`

Counts

4 → 112

Calls

4 calls:

12.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
11.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
11.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
11.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

series1.7s (4.2%)

Counts

4 → 12

Calls

4 calls:

437.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
431.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
424.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
421.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

simplify79.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5063	4152

prune311.0ms (0.8%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	115	9	124
Fresh	0	16	16
Picked	1	0	1
Done	0	2	2
Total	116	27	143

Merged error: 15.6b

Counts

143 → 27

Compiler

Compiled 15804 to 956 computations (94% saved)

regimes2.4s (5.9%)

Compiler: Compiled 48992 to 29120 computations (40.6% saved)

bsearch674.0ms (1.7%)

Steps

Iters	Range		Point
10	-1.4516961962038668e-285	-2.9121981845816255e-299	-1.9547856442546088e-292
8	-6.252837674585014e-68	-3.2979465916308735e-72	-9.16140766052301e-71

Compiler

Compiled 1 to 16 computations (-1500% saved)

simplify33.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	1055	537
1	1055	537

end0.0ms (0%)

sample22.0s (54.3%)

Algorithm

1×

intervals

Results

12.9s	63441×	body	128	invalid
1.6s	8000×	body	128	valid

Compiler

Compiled 4219 to 2149 computations (49.1% saved)

Details

analyze5.1s (12.7%)

sample697.0ms (1.7%)

simplify201.0ms (0.5%)

prune10.0ms (0%)

localize63.0ms (0.2%)

rewrite79.0ms (0.2%)

series1.8s (4.3%)

simplify76.0ms (0.2%)

prune401.0ms (1%)

localize70.0ms (0.2%)

rewrite85.0ms (0.2%)

series1.8s (4.4%)

simplify72.0ms (0.2%)

prune368.0ms (0.9%)

localize79.0ms (0.2%)

rewrite92.0ms (0.2%)

series1.7s (4.2%)

simplify72.0ms (0.2%)

prune399.0ms (1%)

localize71.0ms (0.2%)

rewrite80.0ms (0.2%)

series1.7s (4.2%)

simplify79.0ms (0.2%)

prune311.0ms (0.8%)

regimes2.4s (5.9%)

bsearch674.0ms (1.7%)

simplify33.0ms (0.1%)

end0.0ms (0%)

sample22.0s (54.3%)

Profiling