Details

Time bar (total: 20.4s)

sample45.0ms

Algorithm
intervals
Results
12.0ms229×body80valid
3.0ms16×body640valid
3.0ms13×body1280valid
1.0ms10×body320valid
1.0ms13×body160valid

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done5000
63379
5728
4242
3111
252
122
011

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.2b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- a t))
3.5b
(fma y (/ (- t z) (- a t)) (+ y x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-cbrt-cube add-exp-log
2×expm1-log1p-u pow1 flip3-- associate-/r/ log1p-expm1-u flip-- add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
19.0ms
(/ (- t z) (- a t))
0.0ms
(fma y (/ (- t z) (- a t)) (+ y x))

series312.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ (- t z) (- a t))
240.0ms
(fma y (/ (- t z) (- a t)) (+ y x))

simplify2.5s

Counts
70 → 70
Iterations
IterNodes
done5000
34441
2825
1263
0114

prune427.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.6b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- t z))
0.2b
(/ 1 (/ (- a t) (- t z)))
3.5b
(fma y (/ 1 (/ (- a t) (- t z))) (+ y x))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- div-inv flip--
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp associate-/l/
1×div-sub fma-udef pow-flip inv-pow
Counts
3 → 214
Calls
3 calls:
31.0ms
(/ (- a t) (- t z))
41.0ms
(/ 1 (/ (- a t) (- t z)))
1.0ms
(fma y (/ 1 (/ (- a t) (- t z))) (+ y x))

series445.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(/ (- a t) (- t z))
241.0ms
(/ 1 (/ (- a t) (- t z)))
124.0ms
(fma y (/ 1 (/ (- a t) (- t z))) (+ y x))

simplify2.0s

Counts
223 → 223
Iterations
IterNodes
done5002
23978
1713
0273

prune1.4s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.6b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t z))
0.5b
(cbrt (- t z))
0.6b
(* (cbrt (- t z)) (cbrt (- t z)))
8.4b
(fma y (* (* (cbrt (- t z)) (cbrt (- t z))) (* (/ 1 (- a t)) (cbrt (- t z)))) (+ y x))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod
34×add-sqr-sqrt
32×*-un-lft-identity
16×cbrt-div
14×add-cube-cbrt
11×pow1
10×swap-sqr
8×flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
6×add-exp-log difference-of-squares
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 102
Calls
4 calls:
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
31.0ms
(* (cbrt (- t z)) (cbrt (- t z)))
0.0ms
(fma y (* (* (cbrt (- t z)) (cbrt (- t z))) (* (/ 1 (- a t)) (cbrt (- t z)))) (+ y x))

series1.3s

Counts
4 → 12
Calls
4 calls:
233.0ms
(cbrt (- t z))
628.0ms
(cbrt (- t z))
215.0ms
(* (cbrt (- t z)) (cbrt (- t z)))
227.0ms
(fma y (* (* (cbrt (- t z)) (cbrt (- t z))) (* (/ 1 (- a t)) (cbrt (- t z)))) (+ y x))

simplify1.3s

Counts
114 → 114
Iterations
IterNodes
done5000
21122
1336
0158

prune883.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 4.6b

localize96.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t z))
0.5b
(cbrt (- t z))
0.5b
(cbrt (- t z))
9.6b
(fma y (* (* (* (cbrt (cbrt (- t z))) (cbrt (cbrt (- t z)))) (* (cbrt (cbrt (- t z))) (cbrt (- t z)))) (* (/ 1 (- a t)) (cbrt (- t z)))) (+ y x))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 61
Calls
4 calls:
7.0ms
(cbrt (- t z))
6.0ms
(cbrt (- t z))
7.0ms
(cbrt (- t z))
1.0ms
(fma y (* (* (* (cbrt (cbrt (- t z))) (cbrt (cbrt (- t z)))) (* (cbrt (cbrt (- t z))) (cbrt (- t z)))) (* (/ 1 (- a t)) (cbrt (- t z)))) (+ y x))

series1.2s

Counts
4 → 12
Calls
4 calls:
297.0ms
(cbrt (- t z))
289.0ms
(cbrt (- t z))
292.0ms
(cbrt (- t z))
285.0ms
(fma y (* (* (* (cbrt (cbrt (- t z))) (cbrt (cbrt (- t z)))) (* (cbrt (cbrt (- t z))) (cbrt (- t z)))) (* (/ 1 (- a t)) (cbrt (- t z)))) (+ y x))

simplify2.2s

Counts
73 → 73
Iterations
IterNodes
done5000
32524
2569
1202
097

prune698.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 4.6b

regimes857.0ms

Accuracy

38.2% (5.5b remaining)

Error of 8.5b against oracle of 3.1b and baseline of 11.9b

bsearch156.0ms

Steps
ItersRangePoint
9
2.072994944964499e+129
2.1150772836100282e+135
1.0335026219965045e+135
9
-3.959953710600684e+125
-2.0254713304327566e+118
-1.384317655011652e+125

simplify6.0ms

Iterations
IterNodes
done26
126
020

end0.0ms

sample1.8s

Algorithm
intervals
Results
687.0ms7377×body80valid
201.0ms493×body640valid
111.0ms267×body1280valid
70.0ms388×body320valid
46.0ms240×body160valid
6.0ms16×body2560valid