Details

Time bar (total: 2.8s)

sample12.0ms

Algorithm
intervals
Results
6.0ms348×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1173
2213
3233
4243
5243

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (- (* x x) 3.0) 6.0)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×add-cube-cbrt *-un-lft-identity
4×associate-/l* difference-of-squares
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-sub div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 36
Calls
1 calls:
10.0ms
(/ (- (* x x) 3.0) 6.0)

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(/ (- (* x x) 3.0) 6.0)

simplify68.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
0182228
1585214
22311212
35001211

prune78.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.4b
(* 0.16666666666666666 (pow x 2))

rewrite7.0ms

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:
6.0ms
(* 0.16666666666666666 (pow x 2))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(* 0.16666666666666666 (pow x 2))

simplify71.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0109108
140893
2200293
3500192

prune53.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
0.4b
(cbrt (- (* x x) 3.0))
0.4b
(cbrt (- (* x x) 3.0))
0.4b
(cbrt (- (* x x) 3.0))

rewrite36.0ms

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:
24.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
3.0ms
(cbrt (- (* x x) 3.0))
3.0ms
(cbrt (- (* x x) 3.0))
3.0ms
(cbrt (- (* x x) 3.0))

series819.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
195.0ms
(cbrt (- (* x x) 3.0))
200.0ms
(cbrt (- (* x x) 3.0))
192.0ms
(cbrt (- (* x x) 3.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0349993
11281939
25002887

prune301.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (sqrt 3.0))
0.0b
(/ (- x (sqrt 3.0)) 6.0)
0.0b
(+ x (sqrt 3.0))
0.7b
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
60×*-un-lft-identity
40×add-cube-cbrt
37×times-frac
22×associate-*r*
18×prod-diff
17×sqrt-prod
16×difference-of-squares
11×add-exp-log add-cbrt-cube
8×distribute-lft-out-- add-log-exp
6×pow1 associate-/l*
4×expm1-log1p-u associate-*l* log1p-expm1-u
3×fma-def flip3-+ fma-neg associate-/r* flip-+
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ distribute-lft-out unswap-sqr
1×+-commutative sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
4 → 147
Calls
4 calls:
5.0ms
(- x (sqrt 3.0))
13.0ms
(/ (- x (sqrt 3.0)) 6.0)
4.0ms
(+ x (sqrt 3.0))
35.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series327.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- x (sqrt 3.0))
73.0ms
(/ (- x (sqrt 3.0)) 6.0)
37.0ms
(+ x (sqrt 3.0))
168.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04491171
12081954
25001928

prune400.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.1b 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
063

end0.0ms

sample291.0ms

Algorithm
intervals
Results
182.0ms10659×body80valid