Details

Time bar (total: 4.3s)

sample18.0ms

Algorithm
intervals
Results
5.0ms48×body1280valid
4.0ms47×body640valid
3.0ms133×body80valid
1.0ms20×body320valid
0.0ms8×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: 29.3b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.5b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite25.0ms

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)
21.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series421.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(cbrt (+ x 1.0))
176.0ms
(cbrt x)
154.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify156.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0287358
1934344
24833322
35001322

prune145.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 12.8b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.2b
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
2.5b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite79.0ms

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:
2.0ms
(cbrt (+ x 1.0))
0.0ms
(cbrt x)
49.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
25.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series573.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(cbrt (+ x 1.0))
181.0ms
(cbrt x)
152.0ms
(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
150.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify41.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0336568
11025536
25001505

prune242.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 12.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
0.6b
(cbrt x)
10.5b
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-div
8×cbrt-prod *-un-lft-identity
7×flip3-+ flip-+
6×add-sqr-sqrt add-cube-cbrt add-log-exp
4×pow1 add-exp-log frac-times add-cbrt-cube
3×pow1/3
2×associate-*r/ associate-*l/
1×sub-neg flip3-- diff-log flip-- distribute-lft-out
Counts
4 → 54
Calls
4 calls:
2.0ms
(cbrt (+ x 1.0))
7.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
0.0ms
(cbrt x)
19.0ms
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

series537.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(cbrt (+ x 1.0))
111.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
183.0ms
(cbrt x)
151.0ms
(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

simplify43.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0408700
11319649
25002628

prune259.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 12.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
0.3b
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
0.6b
(cbrt x)
19.3b
(- (* (* (sqrt (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
40×cbrt-div
12×flip3-+ flip-+
8×frac-times
6×add-log-exp
5×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log associate-*r/ associate-*l/ add-cbrt-cube
3×pow1/3
1×sub-neg flip3-- diff-log flip--
Counts
4 → 57
Calls
4 calls:
7.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
7.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
1.0ms
(cbrt x)
121.0ms
(- (* (* (sqrt (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

series556.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
112.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
179.0ms
(cbrt x)
159.0ms
(- (* (* (sqrt (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

simplify47.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0392948
11311830
25001805

prune282.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 12.8b

regimes90.0ms

Accuracy

99.2% (0.1b remaining)

Error of 11.9b against oracle of 11.7b and baseline of 29.8b

bsearch86.0ms

Steps
ItersRangePoint
7
0.003064448021395057
0.16998237910242062
0.0031086287895672454
9
-2.290788576086156e+63
-2.7943718184696317e+58
-4.4954988095195466e+61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06738
17438
27438

end0.0ms

sample482.0ms

Algorithm
intervals
Results
165.0ms1729×body1280valid
95.0ms1236×body640valid
84.0ms4111×body80valid
33.0ms607×body320valid
14.0ms317×body160valid