Details

analyze4.3s (26.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample151.0ms (1%)

Algorithm

1×

intervals

Results

50.0ms	366×	body	128	invalid
41.0ms	256×	body	128	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify1.3s (8.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.1s)

Iter	Nodes	Cost
0	4635	43
1	4635	43

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

Merged error: 10.3b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 i a))))
4.0b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
4.8b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
5.4b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite86.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_14422`
14×	`associate-*r/_binary64_14342`
11×	`sub-neg_binary64_14393` `cancel-sign-sub-inv_binary64_14366`
10×	`add-exp-log_binary64_14438` `add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400` `pow1_binary64_14461` `distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349` `add-cbrt-cube_binary64_14436`
9×	`associate-l_binary64_14341` `associate-r_binary64_14340`
8×	`flip--_binary64_14375` `flip3--_binary64_14404`
6×	`add-log-exp_binary64_14439`
4×	`associate--l+_binary64_14337` `frac-sub_binary64_14409` `associate--r+_binary64_14336`
3×	`cbrt-unprod_binary64_14433` `pow-prod-down_binary64_14471` `prod-exp_binary64_14449` `*-commutative_binary64_14331` `unswap-sqr_binary64_14368`
1×	`diff-log_binary64_14492`

Counts

4 → 96

Calls

4 calls:

19.0ms	(-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 i a))))
14.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
13.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
13.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

series796.0ms (5%)

Counts

4 → 12

Calls

4 calls:

394.0ms	(-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 i a))))
160.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
133.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
109.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

simplify105.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5172	2497

prune273.0ms (1.7%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	85	23	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	23	109

Merged error: 6.9b

Counts

109 → 23

Compiler

Compiled 4915 to 1033 computations (79% saved)

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.0b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
4.6b	(.f64 b (neg.f64 (.f64 a i)))
5.1b	(.f64 b (.f64 z c))
5.4b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite37.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_14422`
15×	`add-exp-log_binary64_14438` `pow1_binary64_14461` `add-cbrt-cube_binary64_14436`
13×	`associate-r_binary64_14340`
12×	`associate-l_binary64_14341`
11×	`add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400`
6×	`cbrt-unprod_binary64_14433` `pow-prod-down_binary64_14471` `prod-exp_binary64_14449`
4×	`sub-neg_binary64_14393` `cancel-sign-sub-inv_binary64_14366` `associate-r/_binary64_14342` `add-log-exp_binary64_14439` `distribute-rgt-in_binary64_14350` `-commutative_binary64_14331` `distribute-lft-in_binary64_14349`
3×	`unswap-sqr_binary64_14368`
2×	`flip--_binary64_14375` `flip3--_binary64_14404`
1×	`distribute-lft-neg-in_binary64_14357` `distribute-rgt-neg-in_binary64_14358` `distribute-rgt-neg-out_binary64_14360` `neg-mul-1_binary64_14396`

Counts

4 → 88

Calls

4 calls:

10.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
5.0ms	(.f64 b (neg.f64 (.f64 a i)))
5.0ms	(.f64 b (.f64 z c))

series354.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

145.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
138.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
43.0ms	(.f64 b (.f64 z c))
28.0ms	(.f64 b (neg.f64 (.f64 a i)))

simplify101.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5054	1271

prune225.0ms (1.4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	5	17	22
Picked	1	0	1
Done	0	0	0
Total	101	22	123

Merged error: 4.7b

Counts

123 → 22

Compiler

Compiled 4499 to 982 computations (78.2% saved)

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.4b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
14.5b	(cbrt.f64 (.f64 b (neg.f64 (.f64 a i))))
14.5b	(cbrt.f64 (.f64 b (neg.f64 (.f64 a i))))
14.5b	(cbrt.f64 (.f64 b (neg.f64 (.f64 a i))))

rewrite43.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_14422`
6×	`add-exp-log_binary64_14438` `add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400` `pow1_binary64_14461` `add-cbrt-cube_binary64_14436`
4×	`add-log-exp_binary64_14439`
3×	`pow1/3_binary64_14482` `cbrt-prod_binary64_14431` `associate-l_binary64_14341` `associate-r_binary64_14340`
2×	`sub-neg_binary64_14393` `cancel-sign-sub-inv_binary64_14366` `associate-*r/_binary64_14342` `distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349`
1×	`cbrt-unprod_binary64_14433` `pow-prod-down_binary64_14471` `prod-exp_binary64_14449` `flip--_binary64_14375` `flip3--_binary64_14404` `*-commutative_binary64_14331` `unswap-sqr_binary64_14368`

Counts

4 → 51

Calls

4 calls:

13.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
6.0ms	(cbrt.f64 (.f64 b (neg.f64 (.f64 a i))))
6.0ms	(cbrt.f64 (.f64 b (neg.f64 (.f64 a i))))
6.0ms	(cbrt.f64 (.f64 b (neg.f64 (.f64 a i))))

series589.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt.f64 (.f64 b (neg.f64 (.f64 a i))))
161.0ms	(cbrt.f64 (.f64 b (neg.f64 (.f64 a i))))
132.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
126.0ms	(cbrt.f64 (.f64 b (neg.f64 (.f64 a i))))

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5173	904

prune145.0ms (0.9%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	21	21
Picked	0	1	1
Done	0	0	0
Total	63	22	85

Merged error: 4.7b

Counts

85 → 22

Compiler

Compiled 4187 to 909 computations (78.3% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.0b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
5.1b	(.f64 b (.f64 z c))
5.4b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
6.3b	(.f64 (.f64 a b) (neg.f64 i))

rewrite69.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64_14438` `pow1_binary64_14461` `add-cbrt-cube_binary64_14436`
17×	`associate-r_binary64_14340`
16×	`add-sqr-sqrt_binary64_14422`
12×	`add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400`
10×	`associate-l_binary64_14341`
8×	`cbrt-unprod_binary64_14433` `pow-prod-down_binary64_14471` `prod-exp_binary64_14449`
4×	`sub-neg_binary64_14393` `cancel-sign-sub-inv_binary64_14366` `associate-r/_binary64_14342` `add-log-exp_binary64_14439` `distribute-rgt-in_binary64_14350` `-commutative_binary64_14331` `distribute-lft-in_binary64_14349`
3×	`distribute-lft-neg-in_binary64_14357` `distribute-rgt-neg-in_binary64_14358`
2×	`flip--_binary64_14375` `flip3--_binary64_14404` `unswap-sqr_binary64_14368`
1×	`distribute-rgt-neg-out_binary64_14360` `neg-mul-1_binary64_14396`

Counts

4 → 92

Calls

4 calls:

16.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
13.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
12.0ms	(.f64 (.f64 a b) (neg.f64 i))
9.0ms	(.f64 b (.f64 z c))

series298.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

123.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
105.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
38.0ms	(.f64 b (.f64 z c))
32.0ms	(.f64 (.f64 a b) (neg.f64 i))

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5019	1305

prune182.0ms (1.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	1	19	20
Picked	1	0	1
Done	0	1	1
Total	104	22	126

Merged error: 4.7b

Counts

126 → 22

Compiler

Compiled 3781 to 433 computations (88.5% saved)

regimes1.5s (9.2%)

Compiler: Compiled 16346 to 11248 computations (31.2% saved)

bsearch8.0ms (0.1%)

Compiler: Compiled 29 to 23 computations (20.7% saved)

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	879	219
1	879	219

end0.0ms (0%)

sample5.0s (31.5%)

Algorithm

1×

intervals

Results

1.3s	11439×	body	128	invalid
892.0ms	8000×	body	128	valid

Compiler

Compiled 1989 to 1243 computations (37.5% saved)

Details

analyze4.3s (26.7%)

sample151.0ms (1%)

simplify1.3s (8.2%)

prune6.0ms (0%)

localize42.0ms (0.3%)

rewrite86.0ms (0.5%)

series796.0ms (5%)

simplify105.0ms (0.7%)

prune273.0ms (1.7%)

localize48.0ms (0.3%)

rewrite37.0ms (0.2%)

series354.0ms (2.2%)

simplify101.0ms (0.6%)

prune225.0ms (1.4%)

localize52.0ms (0.3%)

rewrite43.0ms (0.3%)

series589.0ms (3.7%)

simplify83.0ms (0.5%)

prune145.0ms (0.9%)

localize30.0ms (0.2%)

rewrite69.0ms (0.4%)

series298.0ms (1.9%)

simplify92.0ms (0.6%)

prune182.0ms (1.1%)

regimes1.5s (9.2%)

bsearch8.0ms (0.1%)

simplify58.0ms (0.4%)

end0.0ms (0%)

sample5.0s (31.5%)

Profiling