Details

Time bar (total: 11.8s)

sample15.0ms

Algorithm
intervals
Results
6.0ms334×body80valid

simplify19.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2237
3437
4557
done557

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* x y))
0.1b
(* x (- 1.0 (* x y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×prod-diff
8×add-cube-cbrt *-un-lft-identity
5×distribute-rgt-in distribute-lft-in
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×sub-neg fma-neg associate-*r* associate-*l*
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
2.0ms
(- 1.0 (* x y))
9.0ms
(* x (- 1.0 (* x y)))

series66.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(- 1.0 (* x y))
41.0ms
(* x (- 1.0 (* x y)))

simplify1.4s

Counts
58 → 58
Iterations

Useful iterations: done (1.4s)

IterNodesCost
081616
1171607
2456532
31504520
done5000511

prune113.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (+ (fma (- y) x (pow (cbrt 1.0) 3)) (* (- x x) y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
8.0ms
(* x (+ (fma (- y) x (pow (cbrt 1.0) 3)) (* (- x x) y)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* x (+ (fma (- y) x (pow (cbrt 1.0) 3)) (* (- x x) y)))

simplify3.6s

Counts
27 → 27
Iterations

Useful iterations: 3 (686.0ms)

IterNodesCost
058539
1169384
2524266
31816230
44652230
done5001230

prune269.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)

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 x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series718.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (cbrt x) (cbrt x))
178.0ms
(cbrt x)
172.0ms
(cbrt x)
174.0ms
(cbrt x)

simplify3.0s

Counts
93 → 93
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
065554
1119443
2329423
31180405
43749400
done5000400

prune237.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (* x (fma (- y) x 1.0))) (cbrt (* x (fma (- y) x 1.0))))
0.6b
(cbrt (* x (fma (- y) x 1.0)))
0.6b
(cbrt (* x (fma (- y) x 1.0)))
0.6b
(cbrt (* x (fma (- y) x 1.0)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
5.0ms
(* (cbrt (* x (fma (- y) x 1.0))) (cbrt (* x (fma (- y) x 1.0))))
2.0ms
(cbrt (* x (fma (- y) x 1.0)))
1.0ms
(cbrt (* x (fma (- y) x 1.0)))
2.0ms
(cbrt (* x (fma (- y) x 1.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
292.0ms
(* (cbrt (* x (fma (- y) x 1.0))) (cbrt (* x (fma (- y) x 1.0))))
271.0ms
(cbrt (* x (fma (- y) x 1.0)))
271.0ms
(cbrt (* x (fma (- y) x 1.0)))
270.0ms
(cbrt (* x (fma (- y) x 1.0)))

simplify505.0ms

Counts
78 → 78
Iterations

Useful iterations: done (502.0ms)

IterNodesCost
01441714
13821569
212321440
done50001373

prune247.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes73.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01216
11516
done1516

end0.0ms

sample369.0ms

Algorithm
intervals
Results
202.0ms10745×body80valid