Details

Time bar (total: 2.2s)

sample12.0ms

Algorithm
intervals
Results
6.0ms345×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1173
2213
3233
4243
5243

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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)
6.0ms
(/ (- (* x x) 3.0) 6.0)

series105.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- (* x x) 3.0)
61.0ms
(/ (- (* x x) 3.0) 6.0)

simplify32.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0246323
1917287
25001279

prune106.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 3.0)
0.1b
(* (- (* x x) 3.0) (/ 1 6.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
11×add-exp-log add-cube-cbrt times-frac
7×add-cbrt-cube
4×pow1 associate-*l* prod-exp add-log-exp
3×flip3-- prod-diff flip-- unswap-sqr
2×expm1-log1p-u frac-times div-exp associate-*l/ cbrt-unprod log1p-expm1-u difference-of-squares
1×cbrt-undiv sub-neg rec-exp fma-neg diff-log 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 62
Calls
2 calls:
4.0ms
(- (* x x) 3.0)
10.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

series110.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (* x x) 3.0)
66.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0305368
11304309
25001291

prune107.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) 3.0)
0.1b
(/ 1 (/ 6.0 (- (* x x) 3.0)))
0.1b
(/ 6.0 (- (* x x) 3.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
81×add-sqr-sqrt
64×add-cube-cbrt *-un-lft-identity
22×associate-/r*
17×difference-of-squares
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u prod-diff log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg pow-flip fma-neg diff-log inv-pow
Counts
3 → 152
Calls
3 calls:
4.0ms
(- (* x x) 3.0)
9.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
6.0ms
(/ 6.0 (- (* x x) 3.0))

series156.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (* x x) 3.0)
67.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
52.0ms
(/ 6.0 (- (* x x) 3.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05571254
126981107
250021004

prune216.0ms

Pruning

5 alts after pruning (3 fresh and 2 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))
0.1b
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
0.7b
(/ 6.0 (- x (sqrt 3.0)))

rewrite40.0ms

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))
13.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
6.0ms
(/ 6.0 (- x (sqrt 3.0)))

series303.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- x (sqrt 3.0))
39.0ms
(+ x (sqrt 3.0))
157.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
66.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify102.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
06812672
133412364
250022346

prune389.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes45.0ms

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
0114
1114

end0.0ms

sample292.0ms

Algorithm
intervals
Results
179.0ms10672×body80valid