Details

Time bar (total: 10.4s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
196
2116
done116

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize11.0ms

Local error

Found 1 expressions with local error:

16.8b
(cbrt (/ g (* 2.0 a)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×cbrt-prod
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
1×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:
9.0ms
(cbrt (/ g (* 2.0 a)))

series136.0ms

Counts
1 → 3
Calls
1 calls:
136.0ms
(cbrt (/ g (* 2.0 a)))

simplify1.1s

Counts
21 → 21
Iterations

Useful iterations: done (1.1s)

IterNodesCost
064213
196210
2161196
3396190
41550181
done5001177

prune99.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
19×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
6×times-frac associate-*l*
5×pow1 add-exp-log
4×pow1/3 unswap-sqr
3×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×cbrt-div pow-prod-down div-inv
1×associate-*r/ prod-exp *-commutative cbrt-unprod
Counts
3 → 66
Calls
3 calls:
20.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
7.0ms
(cbrt (/ 1 (* 2.0 a)))
1.0ms
(cbrt g)

series817.0ms

Counts
3 → 9
Calls
3 calls:
165.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
351.0ms
(cbrt (/ 1 (* 2.0 a)))
301.0ms
(cbrt g)

simplify2.4s

Counts
75 → 75
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0115711
1208679
2590633
32943618
done5004609

prune320.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt g) (* (cbrt 0.5) (cbrt (/ 1 a))))
0.4b
(* (cbrt 0.5) (cbrt (/ 1 a)))
0.5b
(cbrt (/ 1 a))
0.6b
(cbrt g)

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
42×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
22×times-frac
17×associate-*r*
12×associate-*l*
11×pow1 add-exp-log
8×unswap-sqr
7×pow1/3 pow-prod-down
5×add-cbrt-cube
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×cbrt-div associate-*r/
2×*-commutative div-inv
Counts
4 → 107
Calls
4 calls:
46.0ms
(* (cbrt g) (* (cbrt 0.5) (cbrt (/ 1 a))))
32.0ms
(* (cbrt 0.5) (cbrt (/ 1 a)))
3.0ms
(cbrt (/ 1 a))
1.0ms
(cbrt g)

series1.1s

Counts
4 → 12
Calls
4 calls:
180.0ms
(* (cbrt g) (* (cbrt 0.5) (cbrt (/ 1 a))))
324.0ms
(* (cbrt 0.5) (cbrt (/ 1 a)))
282.0ms
(cbrt (/ 1 a))
272.0ms
(cbrt g)

simplify898.0ms

Counts
119 → 119
Iterations

Useful iterations: done (894.0ms)

IterNodesCost
01701139
13341059
21312963
done5000950

prune569.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt g) (cbrt (* (/ 1 a) (pow (cbrt 0.5) 3))))
0.6b
(cbrt (* (/ 1 a) (pow (cbrt 0.5) 3)))
0.6b
(cbrt g)
1.0b
(pow (cbrt 0.5) 3)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×cbrt-prod
13×add-cube-cbrt *-un-lft-identity
7×pow1 add-exp-log
6×unpow-prod-down cube-prod associate-*l*
5×pow1/3
4×expm1-log1p-u associate-*r* add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×cbrt-div pow-pow pow-prod-down associate-*l/ unswap-sqr
1×cube-mult pow-to-exp unpow3 associate-*r/ pow-exp prod-exp *-commutative cbrt-unprod rem-cube-cbrt sqr-pow
Counts
4 → 84
Calls
4 calls:
24.0ms
(* (cbrt g) (cbrt (* (/ 1 a) (pow (cbrt 0.5) 3))))
12.0ms
(cbrt (* (/ 1 a) (pow (cbrt 0.5) 3)))
2.0ms
(cbrt g)
8.0ms
(pow (cbrt 0.5) 3)

series749.0ms

Counts
4 → 10
Calls
4 calls:
162.0ms
(* (cbrt g) (cbrt (* (/ 1 a) (pow (cbrt 0.5) 3))))
311.0ms
(cbrt (* (/ 1 a) (pow (cbrt 0.5) 3)))
275.0ms
(cbrt g)
0.0ms
(pow (cbrt 0.5) 3)

simplify751.0ms

Counts
94 → 94
Iterations

Useful iterations: done (747.0ms)

IterNodesCost
0132920
1312663
21159534
done5001521

prune354.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

regimes261.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01212
11612
done1612

end0.0ms

sample687.0ms

Algorithm
intervals
Results
326.0ms8000×body80valid