Details

Time bar (total: 4.9s)

sample20.0ms

Algorithm
intervals
Results
7.0ms65×body1280valid
3.0ms130×body80valid
3.0ms33×body640valid
1.0ms22×body320valid
0.0ms6×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.2b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
13×add-sqr-sqrt
5×add-cube-cbrt add-log-exp
4×difference-of-squares
3×pow1 add-exp-log add-cbrt-cube distribute-lft-out--
2×cbrt-div pow1/3 distribute-lft-out
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 44
Calls
3 calls:
2.0ms
(cbrt (+ x 1.0))
0.0ms
(cbrt x)
24.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series417.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(cbrt (+ x 1.0))
181.0ms
(cbrt x)
148.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify158.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0287358
1934344
24833322
35001322

prune150.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 12.7b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
0.2b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.2b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
32×*-un-lft-identity
31×cbrt-prod
12×difference-of-squares
10×unpow-prod-down cube-prod
9×add-cube-cbrt distribute-lft-out--
6×add-log-exp
5×pow1 add-exp-log add-cbrt-cube
4×distribute-lft-out
3×pow-unpow
2×cube-div cbrt-div flip3-- pow1/3 flip--
1×cube-mult pow-to-exp sub-neg pow-pow flip3-+ diff-log unpow3 pow-exp flip-+ rem-cube-cbrt sqr-pow
Counts
4 → 83
Calls
4 calls:
26.0ms
(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
2.0ms
(cbrt (+ x 1.0))
0.0ms
(cbrt x)
21.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series634.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
88.0ms
(cbrt (+ x 1.0))
180.0ms
(cbrt x)
150.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify76.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0694859
13138808
25001804

prune264.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 9.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.1b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
1×sub-neg flip3-- diff-log flip-- difference-of-squares
Counts
4 → 46
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series711.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
174.0ms
(cbrt x)
181.0ms
(cbrt x)
180.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify133.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0243356
1829292
24198276
35001276

prune234.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 9.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
10.9b
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
7×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
1×sub-neg flip3-- diff-log flip--
Counts
4 → 43
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
2.0ms
(cbrt (* (cbrt x) (cbrt x)))
21.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

series777.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
181.0ms
(cbrt x)
268.0ms
(cbrt (* (cbrt x) (cbrt x)))
152.0ms
(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

simplify88.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0267407
1751360
22812343
35002331

prune377.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.3b

regimes63.0ms

Accuracy

98.1% (0.4b remaining)

Error of 9.0b against oracle of 8.6b and baseline of 28.9b

bsearch84.0ms

Steps
ItersRangePoint
10
2.1361853619626614e-48
1.6554903733176664e-30
4.635923690127091e-48
8
-3802813.1226859456
-118.89002763209811
-137893.79262274364

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06051
16451
26451

end0.0ms

sample528.0ms

Algorithm
intervals
Results
184.0ms1742×body1280valid
98.0ms4123×body80valid
96.0ms1191×body640valid
37.0ms623×body320valid
13.0ms321×body160valid