Details

Time bar (total: 2.6s)

sample15.0ms

Algorithm
intervals
Results
8.0ms348×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1163
2203
3213
4213

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)

rewrite10.0ms

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 flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
8.0ms
(/ (- (* x x) 3.0) 6.0)

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ (- (* x x) 3.0) 6.0)

simplify65.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0175222
1562208
22219208
35001208

prune70.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.4b
(* 0.16666666666666666 (pow x 2))

rewrite9.0ms

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 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 27
Calls
1 calls:
9.0ms
(* 0.16666666666666666 (pow x 2))

series24.0ms

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

simplify73.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0107102
140487
2198887
3500286

prune47.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

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))

rewrite35.0ms

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×frac-times add-cbrt-cube 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 → 93
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))

series797.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
191.0ms
(cbrt (- (* x x) 3.0))
186.0ms
(cbrt (- (* x x) 3.0))
193.0ms
(cbrt (- (* x x) 3.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0335957
11207905
25001856

prune270.0ms

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))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
46×*-un-lft-identity
37×times-frac
26×add-cube-cbrt
22×associate-*r*
16×difference-of-squares
11×add-exp-log add-cbrt-cube
8×sqrt-prod distribute-lft-out-- add-log-exp
6×pow1 associate-/l*
4×associate-*l*
3×flip3-+ 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 → 115
Calls
4 calls:
3.0ms
(- x (sqrt 3.0))
13.0ms
(/ (- x (sqrt 3.0)) 6.0)
3.0ms
(+ x (sqrt 3.0))
30.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series308.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- x (sqrt 3.0))
68.0ms
(/ (- x (sqrt 3.0)) 6.0)
34.0ms
(+ x (sqrt 3.0))
165.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0350821
11627740
25001728

prune212.0ms

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

sample301.0ms

Algorithm
intervals
Results
186.0ms10659×body80valid