Details

analyze266.0ms (4.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample33.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	244×	body	128	valid
9.0ms	290×	pre	128	true
2.0ms	34×	body	128	nan
1.0ms	12×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify367.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (273.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 28.9b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
28.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite37.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_2146`
14×	`add-exp-log_binary64_2162` `*-un-lft-identity_binary64_2124` `add-cbrt-cube_binary64_2160`
9×	`pow1_binary64_2185`
8×	`add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159`
6×	`difference-of-squares_binary64_2093` `associate-/l*_binary64_2069` `times-frac_binary64_2130`
4×	`cancel-sign-sub-inv_binary64_2090` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
3×	`flip--_binary64_2099` `pow-prod-down_binary64_2195` `flip3--_binary64_2128` `distribute-lft-out--_binary64_2076` `sqrt-prod_binary64_2140` `associate-r_binary64_2064`
2×	`cbrt-undiv_binary64_2158` `diff-log_binary64_2216` `sub-neg_binary64_2117` `associate-/l/_binary64_2071` `div-exp_binary64_2175`
1×	`clear-num_binary64_2123` `-commutative_binary64_2055` `associate-/r_binary64_2068` `associate-l_binary64_2065` `div-sub_binary64_2129` `div-inv_binary64_2121` `frac-2neg_binary64_2135`

Counts

4 → 77

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
6.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series221.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

104.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
67.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
36.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
15.0ms	(.f64 (.f64 3 a) c)

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5180	1823

prune131.0ms (2.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	72	17	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	17	90

Merged error: 9.5b

Counts

90 → 17

Compiler

Compiled 2464 to 1513 computations (38.6% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune22.0ms (0.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	16	16
Picked	1	1
Done	0	0
Total	17	17

Merged error: 9.5b

Counts

17 → 17

Compiler

Compiled 483 to 347 computations (28.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(.f64 -3/2 (/.f64 (.f64 a c) b))
0.3b	(/.f64 (*.f64 a c) b)
0.4b	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
17×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
16×	`cbrt-undiv_binary64_2158` `div-exp_binary64_2175`
10×	`add-sqr-sqrt_binary64_2146`
8×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
7×	`associate-r_binary64_2064` `times-frac_binary64_2130`
5×	`pow1_binary64_2185`
4×	`associate-/r*_binary64_2068`
3×	`add-log-exp_binary64_2163` `associate-l_binary64_2065` `div-inv_binary64_2121`
2×	`clear-num_binary64_2123` `associate-/l_binary64_2069` `associate-r/_binary64_2066` `frac-2neg_binary64_2135`
1×	`pow-prod-down_binary64_2195` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `associate-/l/_binary64_2071`

Counts

3 → 78

Calls

3 calls:

9.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
7.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
4.0ms	(/.f64 (*.f64 a c) b)

series64.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

23.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
21.0ms	(/.f64 (*.f64 a c) b)
20.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4962	874
1	4962	874

prune101.0ms (1.7%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	73	14	87
Fresh	0	15	15
Picked	1	0	1
Done	1	0	1
Total	75	29	104

Merged error: 9.3b

Counts

104 → 29

Compiler

Compiled 1754 to 1049 computations (40.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 3 (/.f64 c b))
0.3b	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))

rewrite54.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64_2130`
229×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
57×	`associate-/r*_binary64_2068`
22×	`div-inv_binary64_2121`
16×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
9×	`cbrt-undiv_binary64_2158` `div-exp_binary64_2175`
6×	`associate-/r/_binary64_2070` `associate-/l*_binary64_2069`
2×	`clear-num_binary64_2123` `pow1_binary64_2185` `add-log-exp_binary64_2163` `frac-2neg_binary64_2135`

Counts

2 → 266

Calls

2 calls:

13.0ms	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
6.0ms	(/.f64 3 (/.f64 c b))

series27.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
13.0ms	(/.f64 3 (/.f64 c b))

simplify128.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5023	6058

prune286.0ms (4.7%)

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	257	15	272
Fresh	8	20	28
Picked	0	1	1
Done	0	0	0
Total	265	36	301

Merged error: 9.3b

Counts

301 → 36

Compiler

Compiled 4635 to 2656 computations (42.7% saved)

regimes1.3s (21.8%)

Compiler: Compiled 10481 to 8316 computations (20.7% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	87	81
1	87	81

end0.0ms (0%)

sample2.8s (46.3%)

Algorithm

1×

intervals

Results

396.0ms	7681×	body	128	valid
278.0ms	9017×	pre	128	true
47.0ms	1017×	body	128	nan
30.0ms	319×	body	256	valid

Compiler

Compiled 2171 to 1713 computations (21.1% saved)

Details

analyze266.0ms (4.4%)

sample33.0ms (0.5%)

simplify367.0ms (6.1%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite37.0ms (0.6%)

series221.0ms (3.7%)

simplify60.0ms (1%)

prune131.0ms (2.2%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify9.0ms (0.1%)

prune22.0ms (0.4%)

localize8.0ms (0.1%)

rewrite26.0ms (0.4%)

series64.0ms (1.1%)

simplify54.0ms (0.9%)

prune101.0ms (1.7%)

localize5.0ms (0.1%)

rewrite54.0ms (0.9%)

series27.0ms (0.5%)

simplify128.0ms (2.1%)

prune286.0ms (4.7%)

regimes1.3s (21.8%)

bsearch5.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.8s (46.3%)

Profiling