Details

Time bar (total: 18.1s)

sample54.0ms

Algorithm
intervals
Results
16.0ms229×body80valid
4.0ms16×body640valid
4.0ms13×body1280valid
2.0ms10×body320valid
2.0ms13×body160valid

simplify2.3s

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

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.2b

localize32.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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:
41.0ms
(/ (- t z) (- a t))
1.0ms
(fma y (/ (- t z) (- a t)) (+ y x))

series273.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(/ (- t z) (- a t))
194.0ms
(fma y (/ (- t z) (- a t)) (+ y x))

simplify2.1s

Counts
70 → 70
Iterations
IterNodes
done5000
34441
2825
1263
0114

prune989.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.6b

localize41.0ms

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))

rewrite75.0ms

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:
19.0ms
(/ (- a t) (- t z))
40.0ms
(/ 1 (/ (- a t) (- t z)))
1.0ms
(fma y (/ 1 (/ (- a t) (- t z))) (+ y x))

series428.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(/ (- a t) (- t z))
238.0ms
(/ 1 (/ (- a t) (- t z)))
115.0ms
(fma y (/ 1 (/ (- a t) (- t z))) (+ y x))

simplify1.6s

Counts
223 → 223
Iterations
IterNodes
done5002
23978
1713
0273

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.6b

localize39.0ms

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))

rewrite66.0ms

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:
4.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
55.0ms
(* (cbrt (- t z)) (cbrt (- t z)))
0.0ms
(fma y (* (* (cbrt (- t z)) (cbrt (- t z))) (* (/ 1 (- a t)) (cbrt (- t z)))) (+ y x))

series969.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(cbrt (- t z))
234.0ms
(cbrt (- t z))
252.0ms
(* (cbrt (- t z)) (cbrt (- t z)))
235.0ms
(fma y (* (* (cbrt (- t z)) (cbrt (- t z))) (* (/ 1 (- a t)) (cbrt (- t z)))) (+ y x))

simplify874.0ms

Counts
114 → 114
Iterations
IterNodes
done5000
21122
1336
0158

prune925.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.6b

localize74.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (- t z)) (cbrt (- t z)))
0.6b
(cbrt (* (cbrt (- t z)) (cbrt (- t z))))
0.9b
(pow (cbrt (cbrt (- t z))) (+ 3 1))
10.6b
(fma y (* (* (cbrt (* (cbrt (- t z)) (cbrt (- t z)))) (pow (cbrt (cbrt (- t z))) (+ 3 1))) (* (/ 1 (- a t)) (cbrt (- t z)))) (+ y x))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
34×add-sqr-sqrt *-un-lft-identity
32×cbrt-div
16×add-cube-cbrt
12×pow1 flip3-- flip--
11×unpow-prod-down
10×swap-sqr
8×frac-times pow1/3 associate-*r* associate-*l*
7×add-exp-log distribute-lft-out--
5×difference-of-squares
4×expm1-log1p-u pow-unpow add-cbrt-cube associate-*l/ associate-*r/ log1p-expm1-u add-log-exp unswap-sqr
2×pow-pow pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp unpow-prod-up pow-plus pow-exp prod-exp *-commutative cbrt-unprod fma-udef distribute-lft-out sqr-pow
Counts
4 → 117
Calls
4 calls:
42.0ms
(* (cbrt (- t z)) (cbrt (- t z)))
24.0ms
(cbrt (* (cbrt (- t z)) (cbrt (- t z))))
23.0ms
(pow (cbrt (cbrt (- t z))) (+ 3 1))
0.0ms
(fma y (* (* (cbrt (* (cbrt (- t z)) (cbrt (- t z)))) (pow (cbrt (cbrt (- t z))) (+ 3 1))) (* (/ 1 (- a t)) (cbrt (- t z)))) (+ y x))

series946.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(* (cbrt (- t z)) (cbrt (- t z)))
225.0ms
(cbrt (* (cbrt (- t z)) (cbrt (- t z))))
312.0ms
(pow (cbrt (cbrt (- t z))) (+ 3 1))
204.0ms
(fma y (* (* (cbrt (* (cbrt (- t z)) (cbrt (- t z)))) (pow (cbrt (cbrt (- t z))) (+ 3 1))) (* (/ 1 (- a t)) (cbrt (- t z)))) (+ y x))

simplify1.6s

Counts
129 → 129
Iterations
IterNodes
done5000
22382
1580
0241

prune1.2s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 4.6b

regimes930.0ms

Accuracy

42.4% (5.1b remaining)

Error of 8.2b against oracle of 3.1b and baseline of 11.9b

bsearch3.0ms

simplify4.0ms

Iterations
IterNodes
done34
134
028

end0.0ms

sample1.2s

Algorithm
intervals
Results
563.0ms7377×body80valid
132.0ms493×body640valid
100.0ms267×body1280valid
54.0ms388×body320valid
24.0ms240×body160valid
5.0ms16×body2560valid