Details

Time bar (total: 19.3s)

sample35.0ms

Algorithm
intervals
Results
12.0ms346×body80valid

simplify5.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (18.0ms)

IterNodesCost
099
1159
2269
3498
41008
51748
62568
73388
85998
911518
1034568
done50008

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

2.0b
(fma (/ y a) (- z t) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ y a) (- z t) x)

series97.0ms

Counts
1 → 3
Calls
1 calls:
97.0ms
(fma (/ y a) (- z t) x)

simplify2.5s

Counts
13 → 13
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
024154
141154
294138
3282123
42029123
done5002123

prune63.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- z t) (/ a y)) x)
6.3b
(/ (- z t) (/ a y))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
229×times-frac
163×*-un-lft-identity
161×add-sqr-sqrt
107×add-cube-cbrt
70×fma-def
27×distribute-lft-out-- difference-of-squares
13×associate-/r* div-inv
7×add-exp-log add-cbrt-cube
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 expm1-log1p-u div-sub associate-/r/ log1p-expm1-u associate-/l/
1×+-commutative associate-+l- flip3-- frac-2neg flip3-+ clear-num sum-log flip-- flip-+ distribute-lft-out
Counts
2 → 188
Calls
2 calls:
169.0ms
(+ (/ (- z t) (/ a y)) x)
23.0ms
(/ (- z t) (/ a y))

series166.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(+ (/ (- z t) (/ a y)) x)
74.0ms
(/ (- z t) (/ a y))

simplify1.6s

Counts
194 → 194
Iterations

Useful iterations: 2 (462.0ms)

IterNodesCost
02241920
16751808
230821697
done50011697

prune848.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.8b
(* (* (cbrt y) (cbrt y)) (/ (- z t) (/ a (cbrt y))))
3.5b
(/ (- z t) (/ a (cbrt y)))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
423×times-frac
294×add-sqr-sqrt
285×*-un-lft-identity
195×add-cube-cbrt
115×associate-*r*
106×cbrt-prod
45×distribute-lft-out-- difference-of-squares
30×add-exp-log
22×associate-/r*
21×add-cbrt-cube
13×div-inv
9×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
5×associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down
2×pow1/3 associate-/r/ associate-/l/
1×flip3-- frac-2neg div-sub associate-*r/ associate-*l* clear-num *-commutative flip--
Counts
4 → 328
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
110.0ms
(* (* (cbrt y) (cbrt y)) (/ (- z t) (/ a (cbrt y))))
29.0ms
(/ (- z t) (/ a (cbrt y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
654.0ms
(cbrt y)
326.0ms
(cbrt y)
110.0ms
(* (* (cbrt y) (cbrt y)) (/ (- z t) (/ a (cbrt y))))
242.0ms
(/ (- z t) (/ a (cbrt y)))

simplify1.1s

Counts
340 → 340
Iterations

Useful iterations: done (1.1s)

IterNodesCost
04185822
115835464
done50005149

prune1.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) a)
4.8b
(fma (/ (- z t) a) y x)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
42.0ms
(/ (- z t) a)
1.0ms
(fma (/ (- z t) a) y x)

series117.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- z t) a)
69.0ms
(fma (/ (- z t) a) y x)

simplify2.3s

Counts
56 → 56
Iterations

Useful iterations: done (2.3s)

IterNodesCost
095558
1199536
2633502
33797496
done5002494

prune211.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes262.0ms

Accuracy

48.2% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.6b

bsearch80.0ms

Steps
ItersRangePoint
3
4.05903217252685e-56
5.190504828498133e-56
5.118582592501663e-56
8
-1.7108187763386078e+67
-1.1134823863050361e+64
-4.029149003138143e+64

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02237
12835
22935
done2935

end0.0ms

sample1.5s

Algorithm
intervals
Results
654.0ms10693×body80valid