Details

Time bar (total: 2.8s)

sample14.0ms

Algorithm
intervals
Results
8.0ms346×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0123
1173
2213
3233
4243
5243

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 3.0)
0.1b
(/ (- (* x x) 3.0) 6.0)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity times-frac
5×difference-of-squares
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
3×prod-diff associate-/r*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 55
Calls
2 calls:
7.0ms
(- (* x x) 3.0)
7.0ms
(/ (- (* x x) 3.0) 6.0)

series106.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* x x) 3.0)
64.0ms
(/ (- (* x x) 3.0) 6.0)

simplify34.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0246323
1917287
25001279

prune93.0ms

Filtered
61 candidates to 47 candidates (77.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New57461
Fresh000
Picked011
Done000
Total57562

Merged error: 0b

Counts
62 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 0.16666666666666666 (pow x 2))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×associate-*r*
6×add-exp-log
4×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
3×associate-*l* prod-exp add-cbrt-cube
2×unpow2 sqr-pow
1×pow1 expm1-log1p-u pow-to-exp pow-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 29
Calls
1 calls:
5.0ms
(* 0.16666666666666666 (pow x 2))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(* 0.16666666666666666 (pow x 2))

simplify72.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0109108
140893
2200293
3500192

prune42.0ms

Filtered
32 candidates to 20 candidates (62.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New32032
Fresh033
Picked011
Done011
Total32537

Merged error: 0b

Counts
37 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
0.2b
(cbrt (- (* x x) 3.0))
0.2b
(cbrt (- (* x x) 3.0))
0.2b
(cbrt (- (* x x) 3.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
30×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
7×swap-sqr associate-*r* associate-*l* difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
12.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
4.0ms
(cbrt (- (* x x) 3.0))
4.0ms
(cbrt (- (* x x) 3.0))
4.0ms
(cbrt (- (* x x) 3.0))

series804.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
197.0ms
(cbrt (- (* x x) 3.0))
191.0ms
(cbrt (- (* x x) 3.0))
187.0ms
(cbrt (- (* x x) 3.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0349993
11281939
25002887

prune262.0ms

Filtered
113 candidates to 89 candidates (78.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done022
Total1135118

Merged error: 0b

Counts
118 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (sqrt 3.0))
0.0b
(+ x (sqrt 3.0))
0.1b
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
0.6b
(/ 6.0 (- x (sqrt 3.0)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
196×*-un-lft-identity
184×add-sqr-sqrt
104×add-cube-cbrt
40×difference-of-squares
30×associate-/r*
29×sqrt-prod
26×distribute-lft-out
20×distribute-lft-out--
18×prod-diff
13×associate-/r/
11×add-exp-log add-cbrt-cube
8×add-log-exp
7×flip3-- flip-- div-inv associate-/l*
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
3×fma-def fma-neg
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 241
Calls
4 calls:
5.0ms
(- x (sqrt 3.0))
4.0ms
(+ x (sqrt 3.0))
14.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
6.0ms
(/ 6.0 (- x (sqrt 3.0)))

series316.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- x (sqrt 3.0))
40.0ms
(+ x (sqrt 3.0))
164.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
69.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify110.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
06812672
133412364
250022346

prune353.0ms

Filtered
253 candidates to 152 candidates (60.1%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2530253
Fresh011
Picked011
Done033
Total2535258

Merged error: 0b

Counts
258 → 5

regimes64.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063

end0.0ms

sample372.0ms

Algorithm
intervals
Results
247.0ms10731×body80valid