Details

analyze4.8s (12.3%)

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)

sample649.0ms (1.7%)

Algorithm

1×

intervals

Results

388.0ms	1936×	body	128	invalid
63.0ms	256×	body	128	valid

Compiler

Compiled 191 to 143 computations (25.1% saved)

simplify146.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

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

Error

29.8b

Counts

2 → 1

Compiler

Compiled 190 to 126 computations (33.7% saved)

localize68.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.4b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
9.7b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
10.5b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
11.4b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))

rewrite71.0ms (0.2%)

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

series882.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

222.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
222.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
219.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
218.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

simplify59.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5042	4424

prune396.0ms (1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	112	20	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	20	133

Error

21.7b

Counts

133 → 20

Compiler

Compiled 16400 to 2189 computations (86.7% saved)

localize67.0ms (0.2%)

Local error

Found 4 expressions with local error:

10.5b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
11.4b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
11.4b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
11.4b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))

rewrite90.0ms (0.2%)

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:

18.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
13.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 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)))

series889.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

227.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
224.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
220.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
217.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))

simplify91.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5045	4406

prune365.0ms (0.9%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	19	19
Picked	0	1	1
Done	0	0	0
Total	132	20	152

Error

21.7b

Counts

152 → 20

Compiler

Compiled 20878 to 2273 computations (89.1% saved)

localize77.0ms (0.2%)

Local error

Found 4 expressions with local error:

10.5b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y1 y4) (*.f64 y0 y5)))
10.5b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y1 y4) (*.f64 y0 y5)))
10.5b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y1 y4) (*.f64 y0 y5)))
11.4b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))

rewrite88.0ms (0.2%)

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

series859.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

217.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y1 y4) (*.f64 y0 y5)))
214.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y1 y4) (*.f64 y0 y5)))
214.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y1 y4) (*.f64 y0 y5)))
213.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))

simplify89.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5030	4394

prune352.0ms (0.9%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	4	14	18
Picked	1	0	1
Done	0	1	1
Total	135	17	152

Error

20.0b

Counts

152 → 17

Compiler

Compiled 20581 to 1856 computations (91% saved)

localize84.0ms (0.2%)

Local error

Found 4 expressions with local error:

9.7b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
10.5b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y1 y4) (*.f64 y0 y5)))
10.5b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y1 y4) (*.f64 y0 y5)))
11.4b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))

rewrite92.0ms (0.2%)

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

series859.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

219.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
216.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
214.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y1 y4) (*.f64 y0 y5)))
210.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y1 y4) (*.f64 y0 y5)))

simplify78.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5042	4418

prune343.0ms (0.9%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	15	15
Picked	0	1	1
Done	0	1	1
Total	132	17	149

Error

20.0b

Counts

149 → 17

Compiler

Compiled 21404 to 901 computations (95.8% saved)

regimes4.3s (11%)

Accuracy

Total 6.1b remaining (23.8%)

Threshold costs 0b (0%)

Compiler

Compiled 86140 to 51944 computations (39.7% saved)

bsearch15.0ms (0%)

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

simplify92.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	2139	655
1	2139	655

end0.0ms (0%)

sample22.9s (59.1%)

Algorithm

1×

intervals

Results

13.1s	64827×	body	128	invalid
1.7s	8000×	body	128	valid

Compiler

Compiled 6293 to 3380 computations (46.3% saved)

Details

analyze4.8s (12.3%)

sample649.0ms (1.7%)

simplify146.0ms (0.4%)

prune7.0ms (0%)

localize68.0ms (0.2%)

rewrite71.0ms (0.2%)

series882.0ms (2.3%)

simplify59.0ms (0.2%)

prune396.0ms (1%)

localize67.0ms (0.2%)

rewrite90.0ms (0.2%)

series889.0ms (2.3%)

simplify91.0ms (0.2%)

prune365.0ms (0.9%)

localize77.0ms (0.2%)

rewrite88.0ms (0.2%)

series859.0ms (2.2%)

simplify89.0ms (0.2%)

prune352.0ms (0.9%)

localize84.0ms (0.2%)

rewrite92.0ms (0.2%)

series859.0ms (2.2%)

simplify78.0ms (0.2%)

prune343.0ms (0.9%)

regimes4.3s (11%)

bsearch15.0ms (0%)

simplify92.0ms (0.2%)

end0.0ms (0%)

sample22.9s (59.1%)

Profiling