Details

Time bar (total: 14.2s)

sample60.0ms

Algorithm
intervals
Results
26.0ms339×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 3 (18.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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:
1.0ms
(fma (/ y a) (- z t) x)

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(fma (/ y a) (- z t) x)

simplify1.1s

Counts
13 → 13
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
024154
141154
294138
3267123
41175123
done5000123

prune63.0ms

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

rewrite198.0ms

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:
144.0ms
(+ (/ (- z t) (/ a y)) x)
28.0ms
(/ (- z t) (/ a y))

series177.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(+ (/ (- z t) (/ a y)) x)
85.0ms
(/ (- z t) (/ a y))

simplify1.5s

Counts
194 → 194
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02241920
16031786
219181697
done50001689

prune765.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize26.0ms

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))

rewrite160.0ms

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))
35.0ms
(/ (- z t) (/ a y))
36.0ms
(/ (- z t) (/ a y))

series395.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(cbrt (/ (- z t) (/ a y)))
55.0ms
(/ (- z t) (/ a y))
73.0ms
(/ (- z t) (/ a y))
59.0ms
(/ (- z t) (/ a y))

simplify1.4s

Counts
402 → 402
Iterations

Useful iterations: done (1.4s)

IterNodesCost
03556704
17576263
221576037
done50016018

prune2.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:
28.0ms
(/ (- z t) a)
0.0ms
(fma (/ (- z t) a) y x)

series92.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (- z t) a)
56.0ms
(fma (/ (- z t) a) y x)

simplify2.6s

Counts
56 → 56
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
095558
1194536
2452500
31235490
43717489
done5000489

prune224.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes364.0ms

Accuracy

85.4% (0.4b remaining)

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

bsearch3.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01741
12234
done2234

end0.0ms

sample1.4s

Algorithm
intervals
Results
676.0ms10609×body80valid