Details

Time bar (total: 27.7s)

sample516.0ms

Algorithm
intervals
Results
302.0ms110×body2560valid
141.0ms83×body1280valid
30.0ms32×body640valid
12.0ms256×pre80true
11.0ms20×body320valid
3.0ms9×body160valid
0.0ms2×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
110
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.7b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
279×times-frac
232×add-sqr-sqrt
224×*-un-lft-identity
208×add-cube-cbrt
182×prod-diff
33×div-inv
14×tan-quot associate-/r/
13×fma-neg
9×difference-of-squares
7×distribute-lft-out--
6×add-exp-log
4×add-cbrt-cube add-log-exp
3×pow1 associate-/r* associate-/l*
2×expm1-log1p-u div-exp insert-posit16 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 → 262
Calls
2 calls:
9.0ms
(/ 1 (tan x))
55.0ms
(- (/ 1 x) (/ 1 (tan x)))

series142.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ 1 (tan x))
92.0ms
(- (/ 1 x) (/ 1 (tan x)))

simplify1.0s

Counts
268 → 268
Iterations
IterNodes
done2001
32001
21356
1762
0342

prune2.3s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945)))
0.1b
(* (pow x 5) 2/945)
0.2b
(* x 1/45)
0.3b
(fma 1/3 x (* (pow x 5) 2/945))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
11×add-exp-log
10×associate-*l*
9×*-un-lft-identity add-cube-cbrt
8×add-cbrt-cube
6×pow1 associate-*r*
4×expm1-log1p-u unpow-prod-down prod-exp insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×*-commutative cbrt-unprod fma-udef sqr-pow
1×pow-to-exp pow-prod-down pow-exp
Counts
4 → 71
Calls
4 calls:
0.0ms
(fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945)))
17.0ms
(* (pow x 5) 2/945)
11.0ms
(* x 1/45)
0.0ms
(fma 1/3 x (* (pow x 5) 2/945))

series454.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945)))
97.0ms
(* (pow x 5) 2/945)
27.0ms
(* x 1/45)
232.0ms
(fma 1/3 x (* (pow x 5) 2/945))

simplify1.4s

Counts
83 → 83
Iterations
IterNodes
done2026
42026
31823
2587
1227
0111

prune888.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945)))) (cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945)))))
0.6b
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))
0.6b
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))
0.6b
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 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 → 85
Calls
4 calls:
16.0ms
(* (cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945)))) (cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945)))))
2.0ms
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))
2.0ms
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))
2.0ms
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))

series851.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(* (cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945)))) (cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945)))))
229.0ms
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))
192.0ms
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))
216.0ms
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))

simplify1.1s

Counts
97 → 97
Iterations
IterNodes
done2001
32001
2746
1320
0143

prune1.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))
0.6b
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))
0.6b
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))
0.6b
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))
1.0ms
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))
1.0ms
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))
1.0ms
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))

series812.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))
243.0ms
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))
186.0ms
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))
182.0ms
(cbrt (fma (* x x) (* x 1/45) (fma 1/3 x (* (pow x 5) 2/945))))

simplify1.1s

Counts
68 → 68
Iterations
IterNodes
done2002
42002
3975
2332
1153
073

prune842.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

regimes133.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample14.8s

Algorithm
intervals
Results
9.0s3318×body2560valid
3.8s2418×body1280valid
1.0s1259×body640valid
376.0ms643×body320valid
342.0ms8000×pre80true
130.0ms311×body160valid
8.0ms51×body80valid