Details

Time bar (total: 12.6s)

sample52.0ms

Algorithm
intervals
Results
25.0ms339×body80valid

simplify1.2s

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

2.6b
(fma (/ y a) (- z t) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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)

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(fma (/ y a) (- z t) x)

simplify909.0ms

Counts
13 → 13
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
024154
141154
294138
3267123
41175123
done5000123

prune65.0ms

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)
8.3b
(/ (- z t) (/ a y))

rewrite149.0ms

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
add-exp-log add-cbrt-cube
associate-/l*
add-log-exp
cbrt-undiv div-exp
pow1 expm1-log1p-u div-sub associate-/r/ log1p-expm1-u associate-/l/
+-commutative associate-+l- flip3-- frac-2neg flip3-+ clear-num sum-log flip-- flip-+ distribute-lft-out
Counts
2 → 188
Calls
2 calls:
95.0ms
(+ (/ (- z t) (/ a y)) x)
36.0ms
(/ (- z t) (/ a y))

series129.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(+ (/ (- z t) (/ a y)) x)
71.0ms
(/ (- z t) (/ a y))

simplify1.3s

Counts
194 → 194
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02241920
16031786
219181697
done50001689

prune662.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

5.8b
(cbrt (/ (- z t) (/ a y)))
8.3b
(/ (- z t) (/ a y))
8.3b
(/ (- z t) (/ a y))
8.3b
(/ (- z t) (/ a y))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
467×times-frac
331×add-sqr-sqrt *-un-lft-identity
221×add-cube-cbrt
70×cbrt-prod
55×distribute-lft-out-- difference-of-squares
39×associate-/r*
27×div-inv
19×add-exp-log add-cbrt-cube
15×associate-/l*
cbrt-undiv div-exp
associate-/l/
pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
flip3-- frac-2neg div-sub clear-num flip--
cbrt-div pow1/3
Counts
4 → 390
Calls
4 calls:
15.0ms
(cbrt (/ (- z t) (/ a y)))
23.0ms
(/ (- z t) (/ a y))
30.0ms
(/ (- z t) (/ a y))
24.0ms
(/ (- z t) (/ a y))

series368.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt (/ (- z t) (/ a y)))
56.0ms
(/ (- z t) (/ a y))
69.0ms
(/ (- z t) (/ a y))
64.0ms
(/ (- z t) (/ a y))

simplify1.3s

Counts
402 → 402
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03556704
17576263
221576037
done50016018

prune1.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) a)
5.5b
(fma (/ (- z t) a) y x)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
associate-/l*
add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
associate-/r*
pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
34.0ms
(/ (- z t) a)
1.0ms
(fma (/ (- z t) a) y x)

series123.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- z t) a)
77.0ms
(fma (/ (- z t) a) y x)

simplify2.5s

Counts
56 → 56
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
095558
1194536
2452500
31235490
43717489
done5000489

prune198.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes444.0ms

Accuracy

85.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.6b

bsearch4.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01741
12234
done2234

end0.0ms

sample1.1s

Algorithm
intervals
Results
597.0ms10609×body80valid