Details

Time bar (total: 11.2s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
066
196
2116
done116

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize5.0ms

Local error

Found 1 expressions with local error:

16.7b
(cbrt (/ g (* 2.0 a)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
pow1 add-exp-log expm1-log1p-u cbrt-div pow1/3 add-cbrt-cube log1p-expm1-u div-inv add-log-exp
Counts
1 → 18
Calls
1 calls:
2.0ms
(cbrt (/ g (* 2.0 a)))

series91.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(cbrt (/ g (* 2.0 a)))

simplify3.6s

Counts
21 → 21
Iterations

Useful iterations: 5 (714.0ms)

IterNodesCost
064213
196210
2154196
3325190
4793181
52622177
done5000177

prune59.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
0.6b
(cbrt (/ 1 (* 2.0 a)))
0.6b
(cbrt g)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
19×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
times-frac associate-*l*
pow1 add-exp-log
pow1/3 unswap-sqr
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
cbrt-div pow-prod-down div-inv
associate-*r/ prod-exp *-commutative cbrt-unprod
Counts
3 → 66
Calls
3 calls:
10.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
3.0ms
(cbrt (/ 1 (* 2.0 a)))
1.0ms
(cbrt g)

series496.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
204.0ms
(cbrt (/ 1 (* 2.0 a)))
183.0ms
(cbrt g)

simplify2.8s

Counts
75 → 75
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
0115711
1203679
2476633
31425618
44658609
done5000609

prune190.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (cbrt g) (cbrt (* 2.0 a)))
0.6b
(cbrt g)
0.6b
(cbrt (* 2.0 a))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
24×times-frac
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-/l*
add-exp-log
associate-/r*
pow1 expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow1/3
cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 72
Calls
3 calls:
3.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
0.0ms
(cbrt g)
2.0ms
(cbrt (* 2.0 a))

series530.0ms

Counts
3 → 9
Calls
3 calls:
125.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
196.0ms
(cbrt g)
209.0ms
(cbrt (* 2.0 a))

simplify702.0ms

Counts
81 → 81
Iterations

Useful iterations: 3 (186.0ms)

IterNodesCost
0129817
1212788
2466750
31451737
done5001737

prune215.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* (cbrt (- g)) (cbrt -1)) (cbrt (* 2.0 a)))
0.6b
(cbrt (- g))
0.6b
(cbrt (* 2.0 a))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac associate-/r* add-cbrt-cube
pow1 distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in log1p-expm1-u add-log-exp
cbrt-undiv pow1/3 div-exp
neg-mul-1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
3 → 56
Calls
3 calls:
6.0ms
(/ (* (cbrt (- g)) (cbrt -1)) (cbrt (* 2.0 a)))
1.0ms
(cbrt (- g))
2.0ms
(cbrt (* 2.0 a))

series592.0ms

Counts
3 → 9
Calls
3 calls:
179.0ms
(/ (* (cbrt (- g)) (cbrt -1)) (cbrt (* 2.0 a)))
203.0ms
(cbrt (- g))
210.0ms
(cbrt (* 2.0 a))

simplify1.1s

Counts
65 → 65
Iterations

Useful iterations: 3 (346.0ms)

IterNodesCost
0125625
1241606
2669552
33072538
done5000538

prune168.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes280.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
11512
done1512

end0.0ms

sample304.0ms

Algorithm
intervals
Results
174.0ms8000×body80valid