Details

Time bar (total: 11.4s)

sample33.0ms

Algorithm
intervals
Results
12.0ms280×body80valid

simplify271.0ms

Counts
1 → 1
Iterations
IterNodes
done281
8281
7271
6242
5192
4138
388
246
120
010

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 2.0 (* (/ z x) (- y t)))
3.4b
(* (/ z x) (- y t))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
18×prod-diff
16×add-cbrt-cube add-exp-log
13×times-frac associate-*l*
11×distribute-rgt-in distribute-lft-in
cbrt-undiv div-exp associate-*r* associate-/r/
frac-times pow1 flip3-- prod-exp associate-*r/ cbrt-unprod flip--
associate-/l*
expm1-log1p-u sub-neg associate-*l/ log1p-expm1-u div-inv add-log-exp unswap-sqr
clear-num associate-/r* frac-2neg pow-prod-down *-commutative distribute-lft-out-- difference-of-squares
Counts
2 → 92
Calls
2 calls:
13.0ms
(/ 2.0 (* (/ z x) (- y t)))
37.0ms
(* (/ z x) (- y t))

series161.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ 2.0 (* (/ z x) (- y t)))
89.0ms
(* (/ z x) (- y t))

simplify1.2s

Counts
98 → 98
Iterations
IterNodes
done5000
22776
1516
0191

prune418.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 2.0 (/ z x))
3.6b
(/ (/ 2.0 (/ z x)) (- y t))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
691×times-frac
389×add-sqr-sqrt *-un-lft-identity
299×add-cube-cbrt
47×associate-/l*
45×distribute-lft-out-- difference-of-squares
30×div-inv
18×associate-/r*
16×add-cbrt-cube add-exp-log
cbrt-undiv div-exp associate-/r/
expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
flip3-- flip-- associate-/l/
Counts
2 → 362
Calls
2 calls:
12.0ms
(/ 2.0 (/ z x))
30.0ms
(/ (/ 2.0 (/ z x)) (- y t))

series128.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ 2.0 (/ z x))
97.0ms
(/ (/ 2.0 (/ z x)) (- y t))

simplify853.0ms

Counts
368 → 368
Iterations
IterNodes
done5000
11545
0568

prune2.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 2.0 (* (- y t) (/ z x)))
3.4b
(* (- y t) (/ z x))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
14×*-un-lft-identity
13×times-frac associate-*r*
12×add-cube-cbrt
cbrt-undiv div-exp associate-*l* associate-/r/
frac-times pow1 flip3-- associate-*l/ prod-exp cbrt-unprod flip--
associate-/l*
expm1-log1p-u associate-*r/ log1p-expm1-u div-inv add-log-exp unswap-sqr
clear-num associate-/r* frac-2neg pow-prod-down *-commutative distribute-lft-out-- difference-of-squares
Counts
2 → 70
Calls
2 calls:
14.0ms
(/ 2.0 (* (- y t) (/ z x)))
29.0ms
(* (- y t) (/ z x))

series254.0ms

Counts
2 → 6
Calls
2 calls:
178.0ms
(/ 2.0 (* (- y t) (/ z x)))
76.0ms
(* (- y t) (/ z x))

simplify1.9s

Counts
76 → 76
Iterations
IterNodes
done5000
21870
1356
0140

prune375.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

3.6b
(/ (/ (* 2.0 x) z) (- y t))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
53×times-frac
37×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
10×add-cbrt-cube add-exp-log
distribute-lft-out-- difference-of-squares
div-inv associate-/l*
cbrt-undiv associate-/r* div-exp
associate-/r/
expm1-log1p-u pow1 clear-num frac-2neg flip3-- prod-exp cbrt-unprod log1p-expm1-u flip-- add-log-exp associate-/l/
Counts
1 → 68
Calls
1 calls:
20.0ms
(/ (/ (* 2.0 x) z) (- y t))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(/ (/ (* 2.0 x) z) (- y t))

simplify841.0ms

Counts
71 → 71
Iterations
IterNodes
done5000
21852
1385
0147

prune349.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes665.0ms

Accuracy

47.4% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 5.8b

bsearch152.0ms

Steps
ItersRangePoint
9
4.8179376470419424e+36
5.536000884157053e+42
1.595427985259389e+38
8
-5.265205932043462e-187
-2.2911390795086338e-191
-1.2030514588682042e-188

simplify4.0ms

Iterations
IterNodes
done23
123
020

end0.0ms

sample1.1s

Algorithm
intervals
Results
512.0ms8722×body80valid