Details

Time bar (total: 13.8s)

sample29.0ms

Algorithm
intervals
Results
11.0ms333×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1158
2338
3638
41108
51628
62108
72498
84958
914118
done50018

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize25.0ms

Local error

Found 1 expressions with local error:

2.3b
(fma (/ x y) (- z t) t)

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 (/ x y) (- z t) t)

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(fma (/ x y) (- z t) t)

simplify2.4s

Counts
13 → 13
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
023154
141154
291138
3283123
42198123
done5000123

prune85.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ x y) (- z t) t))
2.3b
(fma (/ x y) (- z t) t)
2.3b
(fma (/ x y) (- z t) t)
2.3b
(fma (/ x y) (- z t) t)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod fma-udef
1×pow1/3
Counts
4 → 43
Calls
4 calls:
2.0ms
(cbrt (fma (/ x y) (- z t) t))
1.0ms
(fma (/ x y) (- z t) t)
1.0ms
(fma (/ x y) (- z t) t)
1.0ms
(fma (/ x y) (- z t) t)

series441.0ms

Counts
4 → 12
Calls
4 calls:
299.0ms
(cbrt (fma (/ x y) (- z t) t))
35.0ms
(fma (/ x y) (- z t) t)
41.0ms
(fma (/ x y) (- z t) t)
66.0ms
(fma (/ x y) (- z t) t)

simplify717.0ms

Counts
55 → 55
Iterations

Useful iterations: done (715.0ms)

IterNodesCost
060683
1118678
2286611
31131559
done5001550

prune301.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ (- z t) y) x) t)
0.0b
(/ (- z t) y)
5.1b
(* (/ (- z t) y) x)

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*l*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×expm1-log1p-u associate-*r* associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 94
Calls
3 calls:
29.0ms
(+ (* (/ (- z t) y) x) t)
35.0ms
(/ (- z t) y)
56.0ms
(* (/ (- z t) y) x)

series160.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(+ (* (/ (- z t) y) x) t)
31.0ms
(/ (- z t) y)
81.0ms
(* (/ (- z t) y) x)

simplify1.1s

Counts
103 → 103
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01441081
13671022
21535962
done5001953

prune430.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.7b
(* (* (/ (- z t) y) (* (cbrt x) (cbrt x))) (cbrt x))
3.8b
(* (/ (- z t) y) (* (cbrt x) (cbrt x)))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
26×add-sqr-sqrt
23×*-un-lft-identity
21×add-cbrt-cube
20×associate-*l*
18×pow1
17×add-cube-cbrt prod-exp cbrt-unprod
16×times-frac
9×cbrt-prod pow-prod-down
7×associate-*r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×associate-*l/ distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
151.0ms
(* (* (/ (- z t) y) (* (cbrt x) (cbrt x))) (cbrt x))
55.0ms
(* (/ (- z t) y) (* (cbrt x) (cbrt x)))

series862.0ms

Counts
4 → 12
Calls
4 calls:
256.0ms
(cbrt x)
214.0ms
(cbrt x)
106.0ms
(* (* (/ (- z t) y) (* (cbrt x) (cbrt x))) (cbrt x))
286.0ms
(* (/ (- z t) y) (* (cbrt x) (cbrt x)))

simplify1.4s

Counts
112 → 112
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01521443
14431398
222451030
done5000901

prune457.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes451.0ms

Accuracy

26.3% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01637
12130
done2130

end0.0ms

sample1.2s

Algorithm
intervals
Results
510.0ms10567×body80valid