Details

Time bar (total: 11.4s)

sample16.0ms

Algorithm
intervals
Results
7.0ms329×body80valid

simplify31.0ms

Counts
1 → 1
Iterations
IterNodes
done60
460
345
223
110
06

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in *-un-lft-identity distribute-lft-in add-cube-cbrt
3×pow1 add-cbrt-cube associate-*r* associate-*l* add-exp-log
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u flip-- add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
14.0ms
(* x (- 1.0 (* x y)))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(* x (- 1.0 (* x y)))

simplify384.0ms

Counts
35 → 35
Iterations
IterNodes
done5000
2721
1174
071

prune184.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (cbrt (fma y (- x) 1.0)) (* (cbrt (fma y (- x) 1.0)) x)) (cbrt (- 1.0 (* x y))))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (fma y (- x) 1.0))
0.2b
(cbrt (fma y (- x) 1.0))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log
12×cbrt-prod
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×add-cbrt-cube
6×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u cbrt-div log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-- associate-*r/ flip--
1×associate-*l* *-commutative
Counts
4 → 69
Calls
4 calls:
68.0ms
(* (* (cbrt (fma y (- x) 1.0)) (* (cbrt (fma y (- x) 1.0)) x)) (cbrt (- 1.0 (* x y))))
2.0ms
(cbrt (- 1.0 (* x y)))
1.0ms
(cbrt (fma y (- x) 1.0))
1.0ms
(cbrt (fma y (- x) 1.0))

series1.4s

Counts
4 → 12
Calls
4 calls:
510.0ms
(* (* (cbrt (fma y (- x) 1.0)) (* (cbrt (fma y (- x) 1.0)) x)) (cbrt (- 1.0 (* x y))))
289.0ms
(cbrt (- 1.0 (* x y)))
318.0ms
(cbrt (fma y (- x) 1.0))
328.0ms
(cbrt (fma y (- x) 1.0))

simplify992.0ms

Counts
81 → 81
Iterations
IterNodes
done5000
21986
1429
0161

prune541.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(* (cbrt (fma (- y) x 1.0)) (cbrt (fma (- y) x 1.0)))
0.2b
(cbrt (cbrt (- 1.0 (* x y))))
0.2b
(cbrt (* (cbrt (fma (- y) x 1.0)) (cbrt (fma (- y) x 1.0))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×cbrt-div swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×flip3-- pow-prod-down pow-sqr pow-prod-up flip--
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
5.0ms
(cbrt (- 1.0 (* x y)))
10.0ms
(* (cbrt (fma (- y) x 1.0)) (cbrt (fma (- y) x 1.0)))
3.0ms
(cbrt (cbrt (- 1.0 (* x y))))
4.0ms
(cbrt (* (cbrt (fma (- y) x 1.0)) (cbrt (fma (- y) x 1.0))))

series1.4s

Counts
4 → 12
Calls
4 calls:
367.0ms
(cbrt (- 1.0 (* x y)))
360.0ms
(* (cbrt (fma (- y) x 1.0)) (cbrt (fma (- y) x 1.0)))
317.0ms
(cbrt (cbrt (- 1.0 (* x y))))
359.0ms
(cbrt (* (cbrt (fma (- y) x 1.0)) (cbrt (fma (- y) x 1.0))))

simplify1.2s

Counts
98 → 98
Iterations
IterNodes
done5002
22376
1588
0222

prune873.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (fma y (- x) 1.0))
0.2b
(/ (cbrt (* (fma (- y) x 1.0) (fma x y 1.0))) (cbrt (fma x y 1.0)))
0.2b
(cbrt (fma x y 1.0))
6.1b
(cbrt (* (fma (- y) x 1.0) (fma x y 1.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
24×times-frac
23×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×associate-/r* add-exp-log
4×expm1-log1p-u pow1 add-cbrt-cube log1p-expm1-u associate-/l* add-log-exp
3×pow1/3
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 85
Calls
4 calls:
1.0ms
(cbrt (fma y (- x) 1.0))
11.0ms
(/ (cbrt (* (fma (- y) x 1.0) (fma x y 1.0))) (cbrt (fma x y 1.0)))
1.0ms
(cbrt (fma x y 1.0))
6.0ms
(cbrt (* (fma (- y) x 1.0) (fma x y 1.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
302.0ms
(cbrt (fma y (- x) 1.0))
410.0ms
(/ (cbrt (* (fma (- y) x 1.0) (fma x y 1.0))) (cbrt (fma x y 1.0)))
275.0ms
(cbrt (fma x y 1.0))
201.0ms
(cbrt (* (fma (- y) x 1.0) (fma x y 1.0)))

simplify681.0ms

Counts
97 → 97
Iterations
IterNodes
done5001
21251
1396
0183

prune911.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes218.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample975.0ms

Algorithm
intervals
Results
741.0ms10766×body80valid