Details

analyze5.0s (12.7%)

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)

sample678.0ms (1.7%)

Algorithm

1×

intervals

Results

413.0ms	2041×	body	128	invalid
52.0ms	256×	body	128	valid

Compiler

Compiled 191 to 143 computations (25.1% saved)

simplify46.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5169	142

prune6.0ms (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

29.8b

Counts

2 → 1

Compiler

Compiled 190 to 126 computations (33.7% saved)

localize64.0ms (0.2%)

Local error

Found 4 expressions with local error:

9.4b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
9.5b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
10.6b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
10.7b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))

rewrite80.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64_15427` `flip--_binary64_15398`
20×	`add-sqr-sqrt_binary64_15445`
16×	`frac-times_binary64_15433`
12×	`add-cube-cbrt_binary64_15458` `associate-r_binary64_15363` `pow1_binary64_15484` `-un-lft-identity_binary64_15423` `add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459` `associate-l*_binary64_15364`
8×	`distribute-lft-in_binary64_15372` `distribute-rgt-in_binary64_15373` `associate-r/_binary64_15365` `sub-neg_binary64_15416` `associate-l/_binary64_15366` `cancel-sign-sub-inv_binary64_15389`
4×	`*-commutative_binary64_15354` `prod-exp_binary64_15472` `unswap-sqr_binary64_15391` `pow-prod-down_binary64_15494` `cbrt-unprod_binary64_15456` `add-log-exp_binary64_15462`

Counts

4 → 120

Calls

4 calls:

17.0ms	(.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 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
10.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))

series865.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

217.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
217.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
216.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
215.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))

simplify60.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5045	4424

prune412.0ms (1%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	108	24	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	24	133

Error

19.8b

Counts

133 → 24

Compiler

Compiled 16809 to 2551 computations (84.8% saved)

localize72.0ms (0.2%)

Local error

Found 4 expressions with local error:

9.0b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
9.5b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
10.6b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
10.7b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))

rewrite84.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64_15427` `flip--_binary64_15398`
20×	`add-sqr-sqrt_binary64_15445`
16×	`frac-times_binary64_15433`
12×	`add-cube-cbrt_binary64_15458` `associate-r_binary64_15363` `pow1_binary64_15484` `-un-lft-identity_binary64_15423` `add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459` `associate-l*_binary64_15364`
8×	`distribute-lft-in_binary64_15372` `distribute-rgt-in_binary64_15373` `associate-r/_binary64_15365` `sub-neg_binary64_15416` `associate-l/_binary64_15366` `cancel-sign-sub-inv_binary64_15389`
4×	`*-commutative_binary64_15354` `prod-exp_binary64_15472` `unswap-sqr_binary64_15391` `pow-prod-down_binary64_15494` `cbrt-unprod_binary64_15456` `add-log-exp_binary64_15462`

Counts

4 → 120

Calls

4 calls:

16.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
11.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
11.0ms	(.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)))

series845.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

214.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
212.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
210.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
209.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))

simplify56.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5034	4424

prune386.0ms (1%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	127	5	132
Fresh	0	23	23
Picked	1	0	1
Done	0	0	0
Total	128	28	156

Error

17.9b

Counts

156 → 28

Compiler

Compiled 19820 to 2763 computations (86.1% saved)

localize70.0ms (0.2%)

Local error

Found 4 expressions with local error:

9.0b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
9.4b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
9.5b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
10.7b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))

rewrite84.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64_15427` `flip--_binary64_15398`
20×	`add-sqr-sqrt_binary64_15445`
16×	`frac-times_binary64_15433`
12×	`add-cube-cbrt_binary64_15458` `associate-r_binary64_15363` `pow1_binary64_15484` `-un-lft-identity_binary64_15423` `add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459` `associate-l*_binary64_15364`
8×	`distribute-lft-in_binary64_15372` `distribute-rgt-in_binary64_15373` `associate-r/_binary64_15365` `sub-neg_binary64_15416` `associate-l/_binary64_15366` `cancel-sign-sub-inv_binary64_15389`
4×	`*-commutative_binary64_15354` `prod-exp_binary64_15472` `unswap-sqr_binary64_15391` `pow-prod-down_binary64_15494` `cbrt-unprod_binary64_15456` `add-log-exp_binary64_15462`

Counts

4 → 120

Calls

4 calls:

18.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
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)))
10.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

series835.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

213.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
210.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
207.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
204.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))

simplify61.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5045	4430

prune370.0ms (0.9%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	129	3	132
Fresh	1	26	27
Picked	1	0	1
Done	0	0	0
Total	131	29	160

Error

17.9b

Counts

160 → 29

Compiler

Compiled 19910 to 2841 computations (85.7% saved)

localize83.0ms (0.2%)

Local error

Found 4 expressions with local error:

9.0b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
9.4b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
10.6b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
10.7b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))

rewrite79.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip3--_binary64_15427` `flip--_binary64_15398`
20×	`add-sqr-sqrt_binary64_15445`
16×	`frac-times_binary64_15433`
12×	`add-cube-cbrt_binary64_15458` `associate-r_binary64_15363` `pow1_binary64_15484` `-un-lft-identity_binary64_15423` `add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459` `associate-l*_binary64_15364`
8×	`distribute-lft-in_binary64_15372` `distribute-rgt-in_binary64_15373` `associate-r/_binary64_15365` `sub-neg_binary64_15416` `associate-l/_binary64_15366` `cancel-sign-sub-inv_binary64_15389`
4×	`*-commutative_binary64_15354` `prod-exp_binary64_15472` `unswap-sqr_binary64_15391` `pow-prod-down_binary64_15494` `cbrt-unprod_binary64_15456` `add-log-exp_binary64_15462`

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 y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
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)))

series856.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

224.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
214.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
210.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
208.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

simplify55.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5021	4430

prune281.0ms (0.7%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	2	26	28
Picked	1	0	1
Done	0	0	0
Total	133	28	161

Error

17.9b

Counts

161 → 28

Compiler

Compiled 16792 to 1025 computations (93.9% saved)

regimes5.3s (13.2%)

Accuracy

Total 8.3b remaining (32.1%)

Threshold costs 0b (0%)

Compiler

Compiled 104313 to 62212 computations (40.4% saved)

bsearch15.0ms (0%)

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

simplify74.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	1694	705
1	1694	705

end0.0ms (0%)

sample22.9s (57.7%)

Algorithm

1×

intervals

Results

12.8s	64228×	body	128	invalid
1.6s	8000×	body	128	valid

Compiler

Compiled 7397 to 3967 computations (46.4% saved)

Details

analyze5.0s (12.7%)

sample678.0ms (1.7%)

simplify46.0ms (0.1%)

prune6.0ms (0%)

localize64.0ms (0.2%)

rewrite80.0ms (0.2%)

series865.0ms (2.2%)

simplify60.0ms (0.1%)

prune412.0ms (1%)

localize72.0ms (0.2%)

rewrite84.0ms (0.2%)

series845.0ms (2.1%)

simplify56.0ms (0.1%)

prune386.0ms (1%)

localize70.0ms (0.2%)

rewrite84.0ms (0.2%)

series835.0ms (2.1%)

simplify61.0ms (0.2%)

prune370.0ms (0.9%)

localize83.0ms (0.2%)

rewrite79.0ms (0.2%)

series856.0ms (2.2%)

simplify55.0ms (0.1%)

prune281.0ms (0.7%)

regimes5.3s (13.2%)

bsearch15.0ms (0%)

simplify74.0ms (0.2%)

end0.0ms (0%)

sample22.9s (57.7%)

Profiling