Details

Time bar (total: 13.6s)

sample54.0ms

Algorithm
intervals
Results
24.0ms267×body80valid

simplify41.0ms

Counts
1 → 1
Iterations
IterNodes
done65
565
461
351
238
126
015

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.3b

localize25.0ms

Local error

Found 3 expressions with local error:

1.2b
(fma (/ z t) y x)
2.2b
(fma y (/ b t) (+ a 1.0))
11.8b
(/ (fma (/ z t) y x) (fma y (/ b t) (+ a 1.0)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube add-exp-log
3×expm1-log1p-u pow1 associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 49
Calls
3 calls:
0.0ms
(fma (/ z t) y x)
0.0ms
(fma y (/ b t) (+ a 1.0))
4.0ms
(/ (fma (/ z t) y x) (fma y (/ b t) (+ a 1.0)))

series482.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(fma (/ z t) y x)
58.0ms
(fma y (/ b t) (+ a 1.0))
374.0ms
(/ (fma (/ z t) y x) (fma y (/ b t) (+ a 1.0)))

simplify961.0ms

Counts
58 → 58
Iterations
IterNodes
done5000
31317
2327
1125
077

prune518.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 11.6b

localize18.0ms

Local error

Found 3 expressions with local error:

1.2b
(fma (/ z t) y x)
3.4b
(* (/ y t) b)
11.8b
(/ (fma (/ z t) y x) (+ (* (/ y t) b) (+ a 1.0)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity times-frac add-cube-cbrt
13×associate-*l*
10×add-cbrt-cube add-exp-log
5×pow1
4×associate-/r/
3×expm1-log1p-u associate-/r* associate-*r* associate-*l/ log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv flip3-+ div-exp frac-add prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative fma-udef
Counts
3 → 77
Calls
3 calls:
0.0ms
(fma (/ z t) y x)
17.0ms
(* (/ y t) b)
30.0ms
(/ (fma (/ z t) y x) (+ (* (/ y t) b) (+ a 1.0)))

series413.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(fma (/ z t) y x)
27.0ms
(* (/ y t) b)
312.0ms
(/ (fma (/ z t) y x) (+ (* (/ y t) b) (+ a 1.0)))

simplify1.1s

Counts
86 → 86
Iterations
IterNodes
done5001
21602
1378
0159

prune683.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.7b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.2b
(fma (/ z t) y x)
3.0b
(/ (* (cbrt y) b) (cbrt t))
11.8b
(/ (fma (/ z t) y x) (+ (* (/ (* (cbrt y) (cbrt y)) (* (cbrt t) (cbrt t))) (/ (* (cbrt y) b) (cbrt t))) (+ a 1.0)))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
15×times-frac
11×add-exp-log
9×cbrt-prod associate-/r*
8×add-cbrt-cube associate-/r/
6×frac-add
4×expm1-log1p-u pow1 flip3-+ flip-+ log1p-expm1-u associate-/l* add-log-exp
3×cbrt-undiv div-exp
2×frac-times clear-num frac-2neg associate-*l/ associate-*r/ div-inv
1×pow1/3 prod-exp cbrt-unprod fma-udef
Counts
4 → 89
Calls
4 calls:
1.0ms
(cbrt y)
0.0ms
(fma (/ z t) y x)
9.0ms
(/ (* (cbrt y) b) (cbrt t))
161.0ms
(/ (fma (/ z t) y x) (+ (* (/ (* (cbrt y) (cbrt y)) (* (cbrt t) (cbrt t))) (/ (* (cbrt y) b) (cbrt t))) (+ a 1.0)))

series880.0ms

Counts
4 → 12
Calls
4 calls:
324.0ms
(cbrt y)
68.0ms
(fma (/ z t) y x)
162.0ms
(/ (* (cbrt y) b) (cbrt t))
325.0ms
(/ (fma (/ z t) y x) (+ (* (/ (* (cbrt y) (cbrt y)) (* (cbrt t) (cbrt t))) (/ (* (cbrt y) b) (cbrt t))) (+ a 1.0)))

simplify1.2s

Counts
101 → 101
Iterations
IterNodes
done5000
22369
1532
0215

prune891.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 10.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ z t) y) x)
3.4b
(* (/ y t) b)
3.6b
(* (/ z t) y)
11.8b
(/ (+ (* (/ z t) y) x) (+ (* (/ y t) b) (+ a 1.0)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
29×times-frac
28×*-un-lft-identity add-cube-cbrt
26×associate-*l*
16×add-cbrt-cube add-exp-log
8×pow1
6×associate-*r* add-log-exp
4×expm1-log1p-u flip3-+ associate-*l/ prod-exp associate-/r/ cbrt-unprod flip-+ log1p-expm1-u unswap-sqr
3×cbrt-undiv associate-/r* div-exp div-inv associate-/l*
2×pow-prod-down frac-add *-commutative associate-/l/
1×+-commutative clear-num sum-log fma-def frac-2neg
Counts
4 → 117
Calls
4 calls:
9.0ms
(+ (* (/ z t) y) x)
20.0ms
(* (/ y t) b)
12.0ms
(* (/ z t) y)
56.0ms
(/ (+ (* (/ z t) y) x) (+ (* (/ y t) b) (+ a 1.0)))

series476.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(+ (* (/ z t) y) x)
46.0ms
(* (/ y t) b)
43.0ms
(* (/ z t) y)
324.0ms
(/ (+ (* (/ z t) y) x) (+ (* (/ y t) b) (+ a 1.0)))

simplify1.7s

Counts
129 → 129
Iterations
IterNodes
done5001
22737
1575
0222

prune838.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 10.7b

regimes1.0s

Accuracy

0% (5.2b remaining)

Error of 15.6b against oracle of 10.4b and baseline of 15.6b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done24
124
020

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.2s8311×body80valid