Details

Time bar (total: 21.5s)

sample38.0ms

Algorithm
intervals
Results
14.0ms281×body80valid

simplify6.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (12.0ms)

IterNodesCost
01011
11711
23211
36010
411510
519010
628610
742310
877210
9150710
10445910
done500010

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

2.1b
(fma (/ y (- a t)) (- 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:
1.0ms
(fma (/ y (- a t)) (- z t) x)

series319.0ms

Counts
1 → 3
Calls
1 calls:
319.0ms
(fma (/ y (- a t)) (- z t) x)

simplify1.2s

Counts
13 → 13
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
023158
136158
275138
3242136
41217136
done5000136

prune140.0ms

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
(* y (- z t))
9.8b
(/ (* y (- z t)) (- a t))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
33.0ms
(* y (- z t))
47.0ms
(/ (* y (- z t)) (- a t))

series144.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* y (- z t))
91.0ms
(/ (* y (- z t)) (- a t))

simplify1.2s

Counts
83 → 83
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01571123
1398942
21623778
done5001748

prune363.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a t) (- z t))
2.3b
(/ y (/ (- a t) (- z t)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
27.0ms
(/ (- a t) (- z t))
33.0ms
(/ y (/ (- a t) (- z t)))

series349.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(/ (- a t) (- z t))
255.0ms
(/ y (/ (- a t) (- z t)))

simplify2.4s

Counts
204 → 204
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02743524
17433340
238813202
done50013198

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.7b
(/ y (/ (- a t) (cbrt (- z t))))
5.4b
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

rewrite308.0ms

Algorithm
rewrite-expression-head
Rules
561×times-frac
428×add-sqr-sqrt
419×*-un-lft-identity
233×add-cube-cbrt
186×cbrt-prod
143×associate-*r*
93×distribute-lft-out-- difference-of-squares
46×associate-/r*
42×cbrt-div
30×add-exp-log
21×flip3-- add-cbrt-cube flip--
16×frac-times associate-/r/
12×associate-*l/
9×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod div-inv
5×associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down associate-/l*
2×pow1/3
1×frac-2neg associate-*l* clear-num *-commutative
Counts
4 → 427
Calls
4 calls:
4.0ms
(cbrt (- z t))
5.0ms
(cbrt (- z t))
37.0ms
(/ y (/ (- a t) (cbrt (- z t))))
223.0ms
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

series948.0ms

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt (- z t))
250.0ms
(cbrt (- z t))
336.0ms
(/ y (/ (- a t) (cbrt (- z t))))
102.0ms
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

simplify1.4s

Counts
439 → 439
Iterations

Useful iterations: done (1.4s)

IterNodesCost
05599606
118839133
done50008629

prune3.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes678.0ms

Accuracy

90.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.2b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02257
12757
done2757

end0.0ms

sample1.2s

Algorithm
intervals
Results
583.0ms8746×body80valid
0.0ms1×body640valid
0.0ms1×body320valid