Details

Time bar (total: 10.3s)

sample21.0ms

Algorithm
intervals
Results
9.0ms284×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 3 (9.0ms)

IterNodesCost
01011
11711
23511
36310
410510
516510
622510
725510
829010
934110
1045810
1180110
12107610
13109010
14109210
done109210

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
1.1b
(fma (/ (- y z) (- a z)) t x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
12.0ms
(/ (- y z) (- a z))
0.0ms
(fma (/ (- y z) (- a z)) t x)

series128.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- y z) (- a z))
76.0ms
(fma (/ (- y z) (- a z)) t x)

simplify883.0ms

Counts
70 → 70
Iterations

Useful iterations: done (881.0ms)

IterNodesCost
0113884
1259856
2682808
32198808
done5002806

prune194.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* (- y z) (/ 1 (- a z)))
1.1b
(fma (* (- y z) (/ 1 (- a z))) t x)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-*l* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 105
Calls
3 calls:
6.0ms
(/ 1 (- a z))
26.0ms
(* (- y z) (/ 1 (- a z)))
0.0ms
(fma (* (- y z) (/ 1 (- a z))) t x)

series158.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- a z))
51.0ms
(* (- y z) (/ 1 (- a z)))
73.0ms
(fma (* (- y z) (/ 1 (- a z))) t x)

simplify2.6s

Counts
114 → 114
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01491251
13391062
21235918
34197918
done5000917

prune254.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.6b
(* (cbrt (- a z)) (cbrt (- a z)))
1.1b
(fma (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (cbrt (- y z)) (cbrt (- a z)))) t x)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod
34×add-sqr-sqrt
32×*-un-lft-identity
16×cbrt-div
14×add-cube-cbrt
11×pow1
10×swap-sqr
8×flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
6×add-exp-log difference-of-squares
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 102
Calls
4 calls:
2.0ms
(cbrt (- y z))
2.0ms
(cbrt (- y z))
20.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
0.0ms
(fma (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (cbrt (- y z)) (cbrt (- a z)))) t x)

series524.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(cbrt (- y z))
154.0ms
(cbrt (- y z))
132.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
78.0ms
(fma (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (cbrt (- y z)) (cbrt (- a z)))) t x)

simplify593.0ms

Counts
114 → 114
Iterations

Useful iterations: done (589.0ms)

IterNodesCost
01861684
13731588
212381374
done50011187

prune432.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.6b
(* (cbrt (- a z)) (cbrt (- a z)))
1.1b
(fma (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (* (cbrt (- a z)) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (cbrt (- a z))))) (/ (cbrt (- y z)) (cbrt (- a z)))) t x)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod
34×add-sqr-sqrt
32×*-un-lft-identity
16×cbrt-div
14×add-cube-cbrt
11×pow1
10×swap-sqr
8×flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
6×add-exp-log difference-of-squares
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 102
Calls
4 calls:
2.0ms
(cbrt (- y z))
2.0ms
(cbrt (- y z))
20.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
0.0ms
(fma (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (* (cbrt (- a z)) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (cbrt (- a z))))) (/ (cbrt (- y z)) (cbrt (- a z)))) t x)

series605.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt (- y z))
175.0ms
(cbrt (- y z))
151.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
94.0ms
(fma (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (* (cbrt (- a z)) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (cbrt (- a z))))) (/ (cbrt (- y z)) (cbrt (- a z)))) t x)

simplify581.0ms

Counts
114 → 114
Iterations

Useful iterations: done (574.0ms)

IterNodesCost
01871840
13781744
212561506
done50001503

prune515.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes339.0ms

Accuracy

31.1% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.2b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01855
12346
done2346

end0.0ms

sample541.0ms

Algorithm
intervals
Results
275.0ms8712×body80valid