Details

Time bar (total: 11.7s)

sample34.0ms

Algorithm
intervals
Results
17.0ms488×body80valid

simplify28.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01115
12415
24414
35814
46014
done6014

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
22.2b
(/ (* z z) (* t t))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
1×frac-2neg times-frac clear-num associate-/r* fma-udef div-inv associate-/l*
Counts
2 → 33
Calls
2 calls:
0.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
5.0ms
(/ (* z z) (* t t))

series129.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
28.0ms
(/ (* z z) (* t t))

simplify3.0s

Counts
39 → 39
Iterations

Useful iterations: 3 (876.0ms)

IterNodesCost
066517
1169509
2631379
34783364
done5000364

prune120.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×times-frac
30×add-cube-cbrt *-un-lft-identity
14×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
9×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up fma-udef
Counts
2 → 79
Calls
2 calls:
0.0ms
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
14.0ms
(* (/ z t) (/ z t))

series163.0ms

Counts
2 → 6
Calls
2 calls:
124.0ms
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
39.0ms
(* (/ z t) (/ z t))

simplify967.0ms

Counts
85 → 85
Iterations

Useful iterations: 2 (214.0ms)

IterNodesCost
01291098
13701010
21339843
done5001843

prune232.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt t)
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)

series831.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(cbrt t)
217.0ms
(cbrt z)
204.0ms
(cbrt z)
198.0ms
(cbrt z)

simplify1.5s

Counts
64 → 64
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
046284
175268
2148244
3297232
4711232
52095232
done5000232

prune294.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))) (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
8.3b
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
8.3b
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
8.3b
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))) (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
1.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
1.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
1.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

series633.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(* (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))) (cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t)))))
142.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
149.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))
167.0ms
(cbrt (fma (/ x y) (/ x y) (* (/ z t) (/ z t))))

simplify2.2s

Counts
93 → 93
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
0972614
11902429
24702029
313331696
436831667
done50001667

prune331.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.1b

regimes256.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01528
11728
done1728

end0.0ms

sample963.0ms

Algorithm
intervals
Results
570.0ms15398×body80valid