Details

Time bar (total: 16.9s)

sample51.0ms

Algorithm
intervals
Results
19.0ms351×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (15.0ms)

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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)

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(fma (/ y a) (- z t) x)

simplify987.0ms

Counts
13 → 13
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
024154
141154
294138
3267123
41175123
done5000123

prune43.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite185.0ms

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:
135.0ms
(+ (/ (- z t) (/ a y)) x)
31.0ms
(/ (- z t) (/ a y))

series111.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ (/ (- z t) (/ a y)) x)
54.0ms
(/ (- z t) (/ a y))

simplify1.3s

Counts
194 → 194
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02241920
16031786
219181697
done50001689

prune751.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.9b
(fma (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt (- z t)) (/ a (cbrt y))) x)
1.7b
(/ (cbrt (- z t)) (/ a (cbrt y)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
338×times-frac
219×add-sqr-sqrt *-un-lft-identity
206×cbrt-prod
169×add-cube-cbrt
25×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×div-inv
9×add-exp-log
8×associate-/l*
6×cbrt-div add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- div-exp flip--
2×pow1/3 associate-/l/
1×frac-2neg clear-num associate-/r/ fma-udef
Counts
4 → 269
Calls
4 calls:
4.0ms
(cbrt (- z t))
5.0ms
(cbrt (- z t))
0.0ms
(fma (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt (- z t)) (/ a (cbrt y))) x)
32.0ms
(/ (cbrt (- z t)) (/ a (cbrt y)))

series1.4s

Counts
4 → 12
Calls
4 calls:
212.0ms
(cbrt (- z t))
214.0ms
(cbrt (- z t))
697.0ms
(fma (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt (- z t)) (/ a (cbrt y))) x)
260.0ms
(/ (cbrt (- z t)) (/ a (cbrt y)))

simplify1.8s

Counts
281 → 281
Iterations

Useful iterations: done (1.8s)

IterNodesCost
04655737
110145365
228705101
done50005004

prune1.5s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize17.0ms

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))

rewrite436.0ms

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:
256.0ms
(+ (/ (/ (- z t) a) (/ 1 y)) x)
18.0ms
(/ (- z t) a)
48.0ms
(/ (/ (- z t) a) (/ 1 y))

series205.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(+ (/ (/ (- z t) a) (/ 1 y)) x)
57.0ms
(/ (- z t) a)
64.0ms
(/ (/ (- z t) a) (/ 1 y))

simplify2.1s

Counts
622 → 622
Iterations

Useful iterations: 2 (1.2s)

IterNodesCost
05457642
115456241
235935690
done50005690

prune2.2s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes265.0ms

Accuracy

0% (1.9b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01628
11828
done1828

end0.0ms

sample1.9s

Algorithm
intervals
Results
640.0ms10690×body80valid