Details

Time bar (total: 5.5s)

sample19.0ms

Algorithm
intervals
Results
6.0ms276×body80valid

simplify124.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2694
31824
44014
56594
614034
718374
823874
927594
1027634
1127634
done27634

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.1b
(/ x (* (- y z) (- t z)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
add-exp-log add-cbrt-cube
frac-times associate-/r/
associate-*r* associate-*l*
pow1 associate-*r/ associate-*l/
times-frac associate-/l*
cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
38.0ms
(* (- y z) (- t z))
17.0ms
(/ x (* (- y z) (- t z)))

series183.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (- y z) (- t z))
145.0ms
(/ x (* (- y z) (- t z)))

simplify75.0ms

Counts
91 → 91
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0384705
11834535
25002528
done5002528

prune212.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series850.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(* (cbrt x) (cbrt x))
218.0ms
(cbrt x)
206.0ms
(cbrt x)
203.0ms
(cbrt x)

simplify109.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0119308
1477281
22972258
35001255
done5001255

prune300.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 55
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))

series915.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(cbrt x)
205.0ms
(cbrt x)
211.0ms
(cbrt x)
282.0ms
(cbrt (cbrt x))

simplify66.0ms

Counts
67 → 67
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
075209
1145195
2361187
31382187
45002187
done5002187

prune293.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series1.1s

Counts
4 → 12
Calls
4 calls:
215.0ms
(cbrt x)
283.0ms
(cbrt (cbrt x))
289.0ms
(cbrt (cbrt x))
279.0ms
(cbrt (cbrt x))

simplify69.0ms

Counts
73 → 73
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
075283
1145265
2361257
31382257
45002257
done5002257

prune332.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes217.0ms

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129
1129
done129

end0.0ms

sample485.0ms

Algorithm
intervals
Results
208.0ms8469×body80valid