Details

Time bar (total: 2.6s)

sample22.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
4.0ms231×body80nan

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
043

prune211.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ a (neg (acos a)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/r*
4×neg-mul-1
3×add-exp-log add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 55
Calls
1 calls:
4.0ms
(/ a (neg (acos a)))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ a (neg (acos a)))

simplify90.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0164371
1483359
21375359
33633358
45001358

prune133.0ms

Filtered
58 candidates to 42 candidates (27.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New49958
Fresh000
Picked011
Done000
Total491059

Merged error: 0.0b

Counts
59 → 10

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (neg (acos a)) a))
0.3b
(/ (neg (acos a)) a)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
140×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
48×distribute-lft-neg-in distribute-rgt-neg-in
37×associate-/r*
16×neg-mul-1
15×add-exp-log
13×associate-/l*
9×add-cbrt-cube
8×div-exp
6×div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×neg-sub0 pow-flip div-sub distribute-frac-neg associate-/r/ inv-pow
Counts
2 → 217
Calls
2 calls:
9.0ms
(/ 1 (/ (neg (acos a)) a))
4.0ms
(/ (neg (acos a)) a)

series9.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 1 (/ (neg (acos a)) a))
4.0ms
(/ (neg (acos a)) a)

simplify72.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06591893
129531699
250031507

prune491.0ms

Filtered
223 candidates to 106 candidates (52.5%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New2185223
Fresh268
Picked011
Done011
Total22013233

Merged error: 0.0b

Counts
233 → 13

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (acos a))
0.4b
(/ (* -1 (/ 1 (acos a))) (/ 1 a))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
71×add-exp-log
40×times-frac div-exp
25×add-cbrt-cube
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×prod-exp associate-/r*
12×cbrt-undiv
10×rec-exp 1-exp
4×cbrt-unprod div-inv associate-/l*
3×pow1
2×frac-2neg clear-num associate-/l/ add-log-exp
1×pow-flip mul-1-neg associate-*r/ distribute-frac-neg associate-/r/ un-div-inv inv-pow
Counts
2 → 98
Calls
2 calls:
3.0ms
(/ 1 (acos a))
12.0ms
(/ (* -1 (/ 1 (acos a))) (/ 1 a))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ 1 (acos a))
6.0ms
(/ (* -1 (/ 1 (acos a))) (/ 1 a))

simplify52.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0475613
12489473
25001428

prune170.0ms

Filtered
104 candidates to 45 candidates (56.7%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1022104
Fresh6410
Picked011
Done022
Total1089117

Merged error: 0b

Counts
117 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (pow (acos a) 3))
0.4b
(/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 a))
1.0b
(cbrt (/ 1 (pow (acos a) 3)))
1.0b
(pow (acos a) 3)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
103×times-frac
68×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
40×cbrt-prod
36×add-exp-log
25×associate-/r*
24×unpow-prod-down cube-prod
18×div-exp
17×add-cbrt-cube
8×cube-mult unpow3 sqr-pow
7×cbrt-undiv
5×pow1 rec-exp 1-exp div-inv
4×pow-to-exp pow-exp prod-exp associate-/l* add-log-exp
3×pow-unpow
2×cbrt-div frac-2neg clear-num cbrt-unprod
1×pow-flip pow-pow mul-1-neg pow1/3 associate-*r/ distribute-frac-neg associate-/r/ associate-/l/ inv-pow rem-cube-cbrt
Counts
4 → 197
Calls
4 calls:
5.0ms
(/ 1 (pow (acos a) 3))
16.0ms
(/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 a))
5.0ms
(cbrt (/ 1 (pow (acos a) 3)))
2.0ms
(pow (acos a) 3)

series25.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ 1 (pow (acos a) 3))
6.0ms
(/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 a))
4.0ms
(cbrt (/ 1 (pow (acos a) 3)))
5.0ms
(pow (acos a) 3)

simplify76.0ms

Algorithm
egg-herbie
Counts
209 → 209
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05211428
129601111
250031073

prune477.0ms

Filtered
209 candidates to 79 candidates (62.2%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2081209
Fresh235
Picked011
Done033
Total2108218

Merged error: 0b

Counts
218 → 8

regimes98.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043

end0.0ms

sample576.0ms

Algorithm
intervals
Results
196.0ms8000×body80valid
141.0ms8038×body80nan

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