Details

Time bar (total: 15.2s)

sample40.0ms

Algorithm
intervals
Results
15.0ms351×body80valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 3 (10.0ms)

IterNodesCost
099
1159
2269
3498
4968
51398
61778
72128
82538
93388
104338
115058
125658
135918
done5918

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

1.8b
(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:
0.0ms
(fma (/ y a) (- z t) x)

series59.0ms

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

simplify962.0ms

Counts
13 → 13
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
024154
141154
294138
3267123
41175123
done5000123

prune56.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- z t) (/ a y)) x)
6.6b
(/ (- z t) (/ a y))

rewrite193.0ms

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:
132.0ms
(+ (/ (- z t) (/ a y)) x)
48.0ms
(/ (- z t) (/ a y))

series146.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(+ (/ (- z t) (/ a y)) x)
68.0ms
(/ (- z t) (/ a y))

simplify1.3s

Counts
194 → 194
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02241920
16031786
219181697
done50001689

prune673.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
1.2b
(* (* (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt y) (cbrt y))) (/ (cbrt (- z t)) (/ a (cbrt y))))
1.7b
(/ (cbrt (- z t)) (/ a (cbrt y)))

rewrite608.0ms

Algorithm
rewrite-expression-head
Rules
658×times-frac
412×add-sqr-sqrt *-un-lft-identity
388×cbrt-prod
318×add-cube-cbrt
181×associate-*r*
78×add-exp-log
47×distribute-lft-out-- difference-of-squares
39×prod-exp cbrt-unprod
36×add-cbrt-cube
30×cbrt-div
28×associate-*l/
22×pow1 associate-/r*
19×div-inv
18×cbrt-undiv div-exp
16×frac-times
15×flip3-- flip--
13×pow-prod-down
8×associate-/l*
5×associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 associate-/r/ associate-/l/
1×frac-2neg associate-*l* clear-num *-commutative
Counts
4 → 503
Calls
4 calls:
4.0ms
(cbrt (- z t))
4.0ms
(cbrt (- z t))
498.0ms
(* (* (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt y) (cbrt y))) (/ (cbrt (- z t)) (/ a (cbrt y))))
54.0ms
(/ (cbrt (- z t)) (/ a (cbrt y)))

series660.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt (- z t))
166.0ms
(cbrt (- z t))
95.0ms
(* (* (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt y) (cbrt y))) (/ (cbrt (- z t)) (/ a (cbrt y))))
214.0ms
(/ (cbrt (- z t)) (/ a (cbrt y)))

simplify1.2s

Counts
515 → 515
Iterations

Useful iterations: done (1.1s)

IterNodesCost
069512849
1201111975
done500011238

prune2.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (/ (- z t) a) (/ 1 y)) x)
0.0b
(/ (- z t) a)
6.0b
(/ (/ (- z t) a) (/ 1 y))

rewrite373.0ms

Algorithm
rewrite-expression-head
Rules
1265×times-frac
702×*-un-lft-identity
700×add-sqr-sqrt
530×add-cube-cbrt
252×fma-def
85×distribute-lft-out-- difference-of-squares
69×div-inv
27×add-exp-log
24×associate-/l*
17×div-exp add-cbrt-cube
16×associate-/r*
9×cbrt-undiv
5×div-sub add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u associate-/l/
2×rec-exp frac-2neg 1-exp clear-num associate-/r/
1×+-commutative associate-+l- flip3-- flip3-+ sum-log flip-- flip-+ distribute-lft-out
Counts
3 → 613
Calls
3 calls:
238.0ms
(+ (/ (/ (- z t) a) (/ 1 y)) x)
24.0ms
(/ (- z t) a)
38.0ms
(/ (/ (- z t) a) (/ 1 y))

series164.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(+ (/ (/ (- z t) a) (/ 1 y)) x)
47.0ms
(/ (- z t) a)
49.0ms
(/ (/ (- z t) a) (/ 1 y))

simplify1.7s

Counts
622 → 622
Iterations

Useful iterations: 2 (926.0ms)

IterNodesCost
05457642
115456241
235935690
done50005690

prune2.1s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes260.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01527
11827
done1827

end0.0ms

sample1.3s

Algorithm
intervals
Results
524.0ms10690×body80valid