Details

sample48.0ms

Algorithm

intervals

Results

28.0ms

668×

body

valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	26	8
1	51	8
2	88	7
3	153	7
4	357	7
5	1563	7
6	5002	7

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.2b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.0b	(* 4.0 (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
21×	`associate-r`
17×	`associate-l`
16×	`add-cube-cbrt`
15×	`fma-def`
11×	`swap-sqr`
10×	`distribute-lft-out`
9×	`pow1` `add-exp-log`
8×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
5×	`add-log-exp`
4×	`*-commutative`
3×	`expm1-log1p-u` `pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `pow-exp` `sum-log` `flip-+` `sqr-pow`

Counts

3 → 96

Calls

3 calls:

20.0ms	(+ (* a a) (* b b))
12.0ms	(* 4.0 (* b b))
29.0ms	(pow (+ (* a a) (* b b)) 2.0)

series262.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (* a a) (* b b))
49.0ms	(* 4.0 (* b b))
166.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify77.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	318	359
1	1483	328
2	5002	313

prune221.0ms

Filtered

105 candidates to 67 candidates (36.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	5	106

Merged error: 0.0b

Counts

106 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

178×	`*-un-lft-identity`
148×	`cbrt-prod`
104×	`unpow-prod-down`
75×	`associate-l`
67×	`distribute-lft-out`
49×	`swap-sqr`
46×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
16×	`unswap-sqr`
15×	`associate-r` `sqr-pow`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 170

Calls

4 calls:

53.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
20.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
29.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series750.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
174.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
167.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
240.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify133.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	233	2165
1	757	2047
2	3734	1712
3	5001	1705

prune373.0ms

Filtered

182 candidates to 97 candidates (46.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	177	5	182
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	179	8	187

Merged error: 0.0b

Counts

187 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

2.3b	(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`unpow-prod-down`
20×	`distribute-lft-out`
16×	`add-sqr-sqrt` `associate-l`
15×	`sqrt-prod`
13×	`add-cube-cbrt`
8×	`swap-sqr`
5×	`pow1` `sqr-pow`
4×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-pow1`
1×	`pow1/2`

Counts

4 → 97

Calls

4 calls:

17.0ms	(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
16.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
23.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series662.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
166.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
170.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
170.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	163	862
1	386	820
2	1264	779
3	5001	779

prune352.0ms

Filtered

109 candidates to 75 candidates (31.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	108	9	117

Merged error: 0.0b

Counts

117 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

9.3b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
9.3b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
54×	`cbrt-prod`
38×	`unpow-prod-down`
20×	`distribute-lft-out`
16×	`associate-l` `sqrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`swap-sqr`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

18.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
17.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
22.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series647.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
165.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
163.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
164.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	190	940
1	416	890
2	1323	850
3	5001	850

prune421.0ms

Filtered

106 candidates to 72 candidates (32.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	6	6
Picked	0	1	1
Done	1	1	2
Total	106	9	115

Merged error: 0.0b

Counts

115 → 9

regimes301.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

803.0ms

20764×

body

valid