Details

Time bar (total: 9.2s)

sample27.0ms

Algorithm
intervals
Results
11.0ms274×body80valid

simplify252.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01011
1209
2469
3889
41389
51929
62389
72659
82729
done2729

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize21.0ms

Local error

Found 1 expressions with local error:

3.8b
(/ (* x 2.0) (* z (- y t)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×associate-*r/ associate-/r/
1×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt flip3-- frac-2neg *-un-lft-identity times-frac clear-num associate-/r* flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
31.0ms
(/ (* x 2.0) (* z (- y t)))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (* x 2.0) (* z (- y t)))

simplify1.0s

Counts
28 → 28
Iterations

Useful iterations: 2 (132.0ms)

IterNodesCost
069359
1207351
21101261
done5002261

prune102.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (/ (* z (- y t)) (* x 2.0)))
3.8b
(/ (* z (- y t)) (* x 2.0))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
32×add-cbrt-cube
26×div-exp
20×times-frac
16×prod-exp
13×cbrt-undiv
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×cbrt-unprod
6×associate-/r* div-inv
5×rec-exp 1-exp
4×associate-/l*
3×pow1
2×expm1-log1p-u frac-2neg associate-*r/ clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip associate-/r/ flip-- inv-pow
Counts
2 → 83
Calls
2 calls:
43.0ms
(/ 1 (/ (* z (- y t)) (* x 2.0)))
52.0ms
(/ (* z (- y t)) (* x 2.0))

series255.0ms

Counts
2 → 6
Calls
2 calls:
157.0ms
(/ 1 (/ (* z (- y t)) (* x 2.0)))
97.0ms
(/ (* z (- y t)) (* x 2.0))

simplify1.4s

Counts
89 → 89
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01421383
14131239
220481037
done50001025

prune194.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (* z (- y t)))
3.8b
(/ (/ 1 (* z (- y t))) (/ 1 (* x 2.0)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
181×add-exp-log
120×times-frac
109×div-exp
45×prod-exp
43×add-cbrt-cube
40×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
30×rec-exp 1-exp
23×cbrt-undiv
20×div-inv
19×associate-/r/
18×associate-*r/
12×associate-/l*
9×flip3-- flip--
8×associate-/r*
7×cbrt-unprod
5×pow1
2×expm1-log1p-u pow-flip frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-prod-down associate-/l/ inv-pow
Counts
2 → 183
Calls
2 calls:
19.0ms
(/ 1 (* z (- y t)))
44.0ms
(/ (/ 1 (* z (- y t))) (/ 1 (* x 2.0)))

series176.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ 1 (* z (- y t)))
145.0ms
(/ (/ 1 (* z (- y t))) (/ 1 (* x 2.0)))

simplify684.0ms

Counts
189 → 189
Iterations

Useful iterations: done (678.0ms)

IterNodesCost
02823484
19303042
done50012422

prune308.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1 z) (- y t))
3.8b
(/ (/ (/ 1 z) (- y t)) (/ 1 (* x 2.0)))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
1712×times-frac
830×add-sqr-sqrt *-un-lft-identity
594×add-cube-cbrt
141×add-exp-log
128×div-inv
118×distribute-lft-out-- difference-of-squares
103×div-exp
84×associate-/l*
43×add-cbrt-cube
27×cbrt-undiv
19×associate-/r/
18×rec-exp 1-exp
15×prod-exp
12×associate-/r*
9×flip3-- flip--
3×cbrt-unprod
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 737
Calls
2 calls:
27.0ms
(/ (/ 1 z) (- y t))
121.0ms
(/ (/ (/ 1 z) (- y t)) (/ 1 (* x 2.0)))

series156.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (/ 1 z) (- y t))
125.0ms
(/ (/ (/ 1 z) (- y t)) (/ 1 (* x 2.0)))

simplify1.4s

Counts
743 → 743
Iterations

Useful iterations: done (1.3s)

IterNodesCost
094519238
1306716524
done500115183

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes210.0ms

Accuracy

47.1% (3.0b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 5.8b

bsearch137.0ms

Steps
ItersRangePoint
8
1.2603065984296933e+207
8.252195321300577e+209
1.543139768798941e+209
7
2.010566761446052e-45
6.164908374380472e-44
5.732254660182226e-44
7
-5.836742181236599e-96
-1.5287059019127184e-97
-5.759900037822987e-96

simplify6.0ms

Iterations

Useful iterations: done (6.0ms)

IterNodesCost
02252
12944
23234
33534
done3533

end0.0ms

sample1.1s

Algorithm
intervals
Results
479.0ms8698×body80valid