Details

Time bar (total: 14.9s)

sample49.0ms

Algorithm
intervals
Results
20.0ms368×body80valid

simplify76.0ms

Counts
1 → 1
Iterations
IterNodes
done89
689
585
471
351
235
117
09

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
7.8b
(/ (- (* x y) (* z t)) a)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/r* associate-/l*
2×expm1-log1p-u pow1 flip3-- log1p-expm1-u flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff div-inv
Counts
2 → 48
Calls
2 calls:
7.0ms
(- (* x y) (* z t))
16.0ms
(/ (- (* x y) (* z t)) a)

series448.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(- (* x y) (* z t))
395.0ms
(/ (- (* x y) (* z t)) a)

simplify2.4s

Counts
54 → 54
Iterations
IterNodes
done5000
34214
2787
1224
088

prune433.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.8b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* z t) a))
4.5b
(/ (* z t) a)
8.6b
(/ (* x y) a)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
51×times-frac
49×prod-diff
39×add-sqr-sqrt *-un-lft-identity
37×add-cube-cbrt
19×div-inv
13×add-cbrt-cube add-exp-log
7×fma-neg
6×associate-/r*
5×add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 log1p-expm1-u
2×clear-num frac-2neg prod-exp cbrt-unprod associate-/l*
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 121
Calls
3 calls:
19.0ms
(- (/ (* x y) a) (/ (* z t) a))
8.0ms
(/ (* z t) a)
7.0ms
(/ (* x y) a)

series150.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(- (/ (* x y) a) (/ (* z t) a))
28.0ms
(/ (* z t) a)
23.0ms
(/ (* x y) a)

simplify1.7s

Counts
130 → 130
Iterations
IterNodes
done5001
22581
1509
0196

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

2.7b
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* (/ t a) (/ z 1))))
6.5b
(* (/ t a) (/ z 1))
6.5b
(* (/ t a) (/ z 1))
46.2b
(fma (- (/ t a)) (/ z 1) (* (/ t a) (/ z 1)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
50×times-frac
38×add-exp-log
36×*-un-lft-identity
32×add-cube-cbrt
28×add-cbrt-cube
26×associate-*r* associate-*l*
14×div-exp
12×prod-exp unswap-sqr
8×pow1 cbrt-undiv cbrt-unprod
4×expm1-log1p-u 1-exp log1p-expm1-u div-inv add-log-exp
2×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative fma-udef
Counts
4 → 132
Calls
4 calls:
0.0ms
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* (/ t a) (/ z 1))))
24.0ms
(* (/ t a) (/ z 1))
18.0ms
(* (/ t a) (/ z 1))
0.0ms
(fma (- (/ t a)) (/ z 1) (* (/ t a) (/ z 1)))

series529.0ms

Counts
4 → 12
Calls
4 calls:
410.0ms
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* (/ t a) (/ z 1))))
43.0ms
(* (/ t a) (/ z 1))
36.0ms
(* (/ t a) (/ z 1))
41.0ms
(fma (- (/ t a)) (/ z 1) (* (/ t a) (/ z 1)))

simplify1.4s

Counts
144 → 144
Iterations
IterNodes
done5001
21929
1416
0149

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

4.8b
(* (/ x a) y)
6.5b
(* (/ t a) (/ z 1))
6.5b
(* (/ t a) z)
46.2b
(fma (- (/ t a)) (/ z 1) (* (/ t a) (/ z 1)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt
45×times-frac
39×associate-*l*
36×*-un-lft-identity
34×add-cube-cbrt
31×add-exp-log
26×add-cbrt-cube
19×associate-*r*
10×pow1 prod-exp unswap-sqr
9×div-exp
8×cbrt-unprod
6×cbrt-undiv
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×pow-prod-down associate-*l/ *-commutative
2×1-exp
1×frac-times associate-*r/ fma-udef
Counts
4 → 134
Calls
4 calls:
12.0ms
(* (/ x a) y)
20.0ms
(* (/ t a) (/ z 1))
14.0ms
(* (/ t a) z)
1.0ms
(fma (- (/ t a)) (/ z 1) (* (/ t a) (/ z 1)))

series135.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (/ x a) y)
24.0ms
(* (/ t a) (/ z 1))
26.0ms
(* (/ t a) z)
50.0ms
(fma (- (/ t a)) (/ z 1) (* (/ t a) (/ z 1)))

simplify1.4s

Counts
146 → 146
Iterations
IterNodes
done5000
23166
1614
0218

prune936.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes1.4s

Accuracy

82.6% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 7.8b

bsearch2.0ms

simplify14.0ms

Iterations
IterNodes
done44
244
141
027

end0.0ms

sample1.2s

Algorithm
intervals
Results
668.0ms11183×body80valid