Details

Time bar (total: 41.0s)

sample63.0ms

Algorithm
intervals
Results
22.0ms61×body640valid
12.0ms129×body80valid
12.0ms43×body320valid
4.0ms23×body160valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
313
213
19
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x 1))
2.4b
(- (/ 1 (+ x 1)) (/ 1 x))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
370×*-un-lft-identity
366×times-frac
277×add-sqr-sqrt
253×add-cube-cbrt
234×prod-diff
49×distribute-lft-out
37×div-inv
30×associate-/r/
18×fma-neg
15×flip3-+ flip-+
10×distribute-lft-out--
9×difference-of-squares
6×add-exp-log
4×associate-/r* add-cbrt-cube add-log-exp
3×pow1 associate-/l*
2×expm1-log1p-u div-exp log1p-expm1-u
1×cbrt-undiv rec-exp clear-num sub-neg frac-2neg flip3-- diff-log 1-exp frac-sub pow-flip flip-- inv-pow
Counts
2 → 325
Calls
2 calls:
15.0ms
(/ 1 (+ x 1))
85.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

series42.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(/ 1 (+ x 1))
29.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

simplify6.6s

Counts
331 → 331
Iterations
IterNodes
33535
21517
1795
0356

prune2.6s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

0.7b
(/ (- (- x x) 1) (fma x x x))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
30×add-sqr-sqrt
24×times-frac
14×add-cube-cbrt
12×distribute-lft-out--
8×associate-/l* difference-of-squares
4×difference-of-sqr-1
3×associate-/r* add-cbrt-cube add-exp-log
2×associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 52
Calls
1 calls:
74.0ms
(/ (- (- x x) 1) (fma x x x))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(/ (- (- x x) 1) (fma x x x))

simplify21.0s

Counts
55 → 55
Iterations
IterNodes
56147
41916
3832
2393
1213
096

prune415.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ -1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))
18.4b
(cbrt (fma x x x))
18.4b
(cbrt (fma x x x))
18.4b
(cbrt (fma x x x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-exp-log add-cube-cbrt
7×add-cbrt-cube
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv div-exp
1×clear-num associate-/r* frac-2neg prod-exp cbrt-unprod div-inv
Counts
4 → 62
Calls
4 calls:
6.0ms
(/ -1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))
1.0ms
(cbrt (fma x x x))
1.0ms
(cbrt (fma x x x))
1.0ms
(cbrt (fma x x x))

series244.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(/ -1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))
59.0ms
(cbrt (fma x x x))
56.0ms
(cbrt (fma x x x))
54.0ms
(cbrt (fma x x x))

simplify2.7s

Counts
74 → 74
Iterations
IterNodes
44378
31436
2576
1230
0101

prune600.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ -1 (cbrt (fma x x x))) (cbrt (fma x x x)))
18.4b
(cbrt (fma x x x))
18.4b
(cbrt (fma x x x))
18.4b
(cbrt (fma x x x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
258×times-frac
144×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
141×cbrt-prod
22×associate-/l*
9×add-exp-log
8×div-inv
6×associate-/r* add-cbrt-cube
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×clear-num frac-2neg associate-/l/
Counts
4 → 216
Calls
4 calls:
16.0ms
(/ (/ -1 (cbrt (fma x x x))) (cbrt (fma x x x)))
1.0ms
(cbrt (fma x x x))
1.0ms
(cbrt (fma x x x))
2.0ms
(cbrt (fma x x x))

series258.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ (/ -1 (cbrt (fma x x x))) (cbrt (fma x x x)))
51.0ms
(cbrt (fma x x x))
54.0ms
(cbrt (fma x x x))
65.0ms
(cbrt (fma x x x))

simplify2.8s

Counts
228 → 228
Iterations
IterNodes
35434
21547
1716
0320

prune1.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes40.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
16
06

end0.0ms

sample1.7s

Algorithm
intervals
Results
904.0ms1911×body640valid
310.0ms1293×body320valid
259.0ms4152×body80valid
80.0ms646×body160valid