Details

analyze4.9s (11%)

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)

sample692.0ms (1.5%)

Algorithm

1×

intervals

Results

410.0ms	2065×	body	128	invalid
56.0ms	256×	body	128	valid

Compiler

Compiled 191 to 143 computations (25.1% saved)

simplify206.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5138	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: 25.5b

Counts

2 → 1

Compiler

Compiled 190 to 126 computations (33.7% saved)

localize68.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.1b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
8.8b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
9.3b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
9.4b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))

rewrite80.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64_12887` `flip--_binary64_12858`
20×	`add-sqr-sqrt_binary64_12904`
16×	`frac-times_binary64_12893`
12×	`associate-l_binary64_12826` `add-exp-log_binary64_12918` `pow1_binary64_12941` `add-cbrt-cube_binary64_12916` `associate-r_binary64_12825` `*-un-lft-identity_binary64_12883` `add-cube-cbrt_binary64_12915`
8×	`associate-l/_binary64_12828` `sub-neg_binary64_12876` `associate-r/_binary64_12827`
4×	`*-commutative_binary64_12816` `distribute-rgt-in_binary64_12835` `prod-exp_binary64_12929` `pow-prod-down_binary64_12951` `cbrt-unprod_binary64_12913` `distribute-lft-in_binary64_12834` `add-log-exp_binary64_12919` `unswap-sqr_binary64_12851`

Counts

4 → 112

Calls

4 calls:

11.0ms	(.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)))
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)))

series1.8s (4%)

Counts

4 → 12

Calls

4 calls:

459.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
456.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
446.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
440.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))

simplify73.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5016	4152

prune418.0ms (0.9%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	102	22	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	22	125

Merged error: 19.0b

Counts

125 → 22

Compiler

Compiled 15773 to 2379 computations (84.9% saved)

localize69.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.8b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 b y0) (*.f64 i y1)))
8.8b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 b y0) (*.f64 i y1)))
9.3b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
9.4b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))

rewrite91.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64_12887` `flip--_binary64_12858`
20×	`add-sqr-sqrt_binary64_12904`
16×	`frac-times_binary64_12893`
12×	`associate-l_binary64_12826` `add-exp-log_binary64_12918` `pow1_binary64_12941` `add-cbrt-cube_binary64_12916` `associate-r_binary64_12825` `*-un-lft-identity_binary64_12883` `add-cube-cbrt_binary64_12915`
8×	`associate-l/_binary64_12828` `sub-neg_binary64_12876` `associate-r/_binary64_12827`
4×	`*-commutative_binary64_12816` `distribute-rgt-in_binary64_12835` `prod-exp_binary64_12929` `pow-prod-down_binary64_12951` `cbrt-unprod_binary64_12913` `distribute-lft-in_binary64_12834` `add-log-exp_binary64_12919` `unswap-sqr_binary64_12851`

Counts

4 → 112

Calls

4 calls:

19.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
12.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 b y0) (*.f64 i y1)))
11.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 b y0) (*.f64 i y1)))
10.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

series1.8s (3.9%)

Counts

4 → 12

Calls

4 calls:

450.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
447.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
431.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 b y0) (*.f64 i y1)))
425.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 b y0) (*.f64 i y1)))

simplify84.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5039	4158

prune396.0ms (0.9%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	121	3	124
Fresh	0	21	21
Picked	1	0	1
Done	0	0	0
Total	122	24	146

Merged error: 19.0b

Counts

146 → 24

Compiler

Compiled 20351 to 2590 computations (87.3% saved)

localize76.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.9b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
8.1b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
8.8b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
9.4b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))

rewrite84.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64_12887` `flip--_binary64_12858`
20×	`add-sqr-sqrt_binary64_12904`
16×	`frac-times_binary64_12893`
12×	`associate-l_binary64_12826` `add-exp-log_binary64_12918` `pow1_binary64_12941` `add-cbrt-cube_binary64_12916` `associate-r_binary64_12825` `*-un-lft-identity_binary64_12883` `add-cube-cbrt_binary64_12915`
8×	`associate-l/_binary64_12828` `sub-neg_binary64_12876` `associate-r/_binary64_12827`
4×	`*-commutative_binary64_12816` `distribute-rgt-in_binary64_12835` `prod-exp_binary64_12929` `pow-prod-down_binary64_12951` `cbrt-unprod_binary64_12913` `distribute-lft-in_binary64_12834` `add-log-exp_binary64_12919` `unswap-sqr_binary64_12851`

Counts

4 → 112

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

series1.7s (3.9%)

Counts

4 → 12

Calls

4 calls:

447.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
434.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
431.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
427.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))

simplify74.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5005	4152

prune420.0ms (0.9%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	117	7	124
Fresh	0	23	23
Picked	1	0	1
Done	0	0	0
Total	118	30	148

Merged error: 16.3b

Counts

148 → 30

Compiler

Compiled 19092 to 2991 computations (84.3% saved)

localize76.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.9b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
8.1b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
9.3b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
9.4b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))

rewrite86.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64_12887` `flip--_binary64_12858`
20×	`add-sqr-sqrt_binary64_12904`
16×	`frac-times_binary64_12893`
12×	`associate-l_binary64_12826` `add-exp-log_binary64_12918` `pow1_binary64_12941` `add-cbrt-cube_binary64_12916` `associate-r_binary64_12825` `*-un-lft-identity_binary64_12883` `add-cube-cbrt_binary64_12915`
8×	`associate-l/_binary64_12828` `sub-neg_binary64_12876` `associate-r/_binary64_12827`
4×	`*-commutative_binary64_12816` `distribute-rgt-in_binary64_12835` `prod-exp_binary64_12929` `pow-prod-down_binary64_12951` `cbrt-unprod_binary64_12913` `distribute-lft-in_binary64_12834` `add-log-exp_binary64_12919` `unswap-sqr_binary64_12851`

Counts

4 → 112

Calls

4 calls:

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

series1.7s (3.8%)

Counts

4 → 12

Calls

4 calls:

435.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
430.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c 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)))

simplify74.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5006	4146

prune279.0ms (0.6%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	120	4	124
Fresh	3	26	29
Picked	1	0	1
Done	0	0	0
Total	124	30	154

Merged error: 16.0b

Counts

154 → 30

Compiler

Compiled 15800 to 926 computations (94.1% saved)

regimes5.1s (11.5%)

Compiler: Compiled 107254 to 63385 computations (40.9% saved)

bsearch869.0ms (1.9%)

Steps

Iters	Range		Point
8	-2.1195546439701633e-268	-5.201967693185356e-271	-2.0990870376740834e-268
9	-9.198045648495777e+67	-2.559915372790826e+62	-5.801600502751738e+66

Compiler

Compiled 1 to 16 computations (-1500% saved)

simplify48.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	1390	486
1	1390	486

end0.0ms (0%)

sample23.5s (52.4%)

Algorithm

1×

intervals

Results

12.8s	64585×	body	128	invalid
1.6s	8000×	body	128	valid

Compiler

Compiled 7423 to 4055 computations (45.4% saved)

Details

analyze4.9s (11%)

sample692.0ms (1.5%)

simplify206.0ms (0.5%)

prune7.0ms (0%)

localize68.0ms (0.2%)

rewrite80.0ms (0.2%)

series1.8s (4%)

simplify73.0ms (0.2%)

prune418.0ms (0.9%)

localize69.0ms (0.2%)

rewrite91.0ms (0.2%)

series1.8s (3.9%)

simplify84.0ms (0.2%)

prune396.0ms (0.9%)

localize76.0ms (0.2%)

rewrite84.0ms (0.2%)

series1.7s (3.9%)

simplify74.0ms (0.2%)

prune420.0ms (0.9%)

localize76.0ms (0.2%)

rewrite86.0ms (0.2%)

series1.7s (3.8%)

simplify74.0ms (0.2%)

prune279.0ms (0.6%)

regimes5.1s (11.5%)

bsearch869.0ms (1.9%)

simplify48.0ms (0.1%)

end0.0ms (0%)

sample23.5s (52.4%)

Profiling