Details

Time bar (total: 4.9s)

sample19.0ms

Algorithm
intervals
Results
6.0ms54×body1280valid
3.0ms41×body640valid
3.0ms125×body80valid
1.0ms19×body320valid
1.0ms17×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: 31.3b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.5b
(cbrt x)
5.4b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite13.0ms

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:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series430.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(cbrt (+ x 1.0))
179.0ms
(cbrt x)
159.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify163.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0287358
1934344
24833322
35001322

prune168.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 13.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.5b
(cbrt x)
4.7b
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
5.4b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
23×cbrt-prod
11×log-pow
10×exp-prod
8×add-cube-cbrt difference-of-squares
6×distribute-lft-out-- add-log-exp
5×pow1 log-prod
4×add-exp-log add-cbrt-cube
3×distribute-lft-out
2×sub-neg cbrt-div pow1/3 exp-sum
1×log-div flip3-- flip3-+ exp-diff diff-log rem-log-exp flip-- flip-+
Counts
4 → 69
Calls
4 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
9.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
9.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series577.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(cbrt (+ x 1.0))
179.0ms
(cbrt x)
152.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
156.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify36.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0336568
11025536
25001505

prune273.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 13.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
5.3b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite15.0ms

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:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series924.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt x)
377.0ms
(cbrt x)
181.0ms
(cbrt x)
184.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify138.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0243356
1829292
24198276
35001276

prune212.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 13.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
5.3b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
5.3b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
5.3b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube
3×cbrt-prod sub-neg flip3-- diff-log flip-- difference-of-squares
1×pow1/3
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt x)
12.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series724.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt x)
181.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
179.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
179.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify141.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0243756
1829604
24198556
35001556

prune261.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 13.1b

regimes120.0ms

Accuracy

99.2% (0.1b remaining)

Error of 12.2b against oracle of 12.0b and baseline of 30.0b

bsearch72.0ms

Steps
ItersRangePoint
7
0.0008659720100092236
0.04032056371688071
0.012741592744772557
9
-1.0380892070036822e+64
-2.2440161807904875e+58
-4.478863880714064e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05934
16434
26434

end0.0ms

sample514.0ms

Algorithm
intervals
Results
180.0ms1763×body1280valid
96.0ms1259×body640valid
89.0ms4087×body80valid
35.0ms583×body320valid
15.0ms308×body160valid