Details

Time bar (total: 21.3s)

sample23.0ms

Algorithm
intervals
Results
10.0ms283×body80valid

simplify212.0ms

Counts
1 → 1
Iterations
IterNodes
done241
8241
7230
6201
5169
4123
380
244
120
010

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 2.0 (/ z x))
3.4b
(/ (/ 2.0 (/ z x)) (- y t))

rewrite85.0ms

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
9×cbrt-undiv div-exp associate-/r/
2×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 362
Calls
2 calls:
10.0ms
(/ 2.0 (/ z x))
41.0ms
(/ (/ 2.0 (/ z x)) (- y t))

series101.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ 2.0 (/ z x))
76.0ms
(/ (/ 2.0 (/ z x)) (- y t))

simplify1.8s

Counts
368 → 368
Iterations
IterNodes
done5006
24133
11493
0568

prune2.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (/ 2.0 z) x)
3.4b
(/ (* (/ 2.0 z) x) (- y t))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity add-cbrt-cube add-exp-log
15×times-frac
13×associate-*l*
12×add-cube-cbrt
5×cbrt-undiv associate-/r* div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*r*
2×expm1-log1p-u associate-*l/ associate-/r/ log1p-expm1-u div-inv distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
1×clear-num frac-2neg flip3-- pow-prod-down *-commutative flip-- associate-/l* associate-/l/
Counts
2 → 66
Calls
2 calls:
20.0ms
(* (/ 2.0 z) x)
30.0ms
(/ (* (/ 2.0 z) x) (- y t))

series79.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* (/ 2.0 z) x)
61.0ms
(/ (* (/ 2.0 z) x) (- y t))

simplify2.8s

Counts
72 → 72
Iterations
IterNodes
done5000
34675
2965
1311
0127

prune429.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y t))
0.2b
(* (/ 2.0 z) x)
3.4b
(* (* (/ 2.0 z) x) (/ 1 (- y t)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
49×add-sqr-sqrt
44×*-un-lft-identity
40×times-frac
31×add-cbrt-cube
30×add-cube-cbrt
24×associate-*r*
22×prod-exp
14×associate-*l*
13×div-exp
12×cbrt-unprod
11×pow1
7×cbrt-undiv distribute-lft-out-- difference-of-squares
5×associate-/r*
4×rec-exp 1-exp pow-prod-down associate-*l/ associate-/r/
3×expm1-log1p-u log1p-expm1-u div-inv associate-/l* add-log-exp
2×flip3-- *-commutative flip-- unswap-sqr
1×frac-times clear-num frac-2neg associate-*r/ un-div-inv pow-flip inv-pow
Counts
3 → 133
Calls
3 calls:
22.0ms
(/ 1 (- y t))
17.0ms
(* (/ 2.0 z) x)
51.0ms
(* (* (/ 2.0 z) x) (/ 1 (- y t)))

series137.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(/ 1 (- y t))
18.0ms
(* (/ 2.0 z) x)
59.0ms
(* (* (/ 2.0 z) x) (/ 1 (- y t)))

simplify2.0s

Counts
142 → 142
Iterations
IterNodes
done5001
21441
1486
0188

prune822.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (sqrt 2.0) (/ (/ (sqrt 2.0) (/ z x)) (- y t)))
0.7b
(/ (sqrt 2.0) (/ z x))
3.4b
(/ (/ (sqrt 2.0) (/ z x)) (- y t))

rewrite502.0ms

Algorithm
rewrite-expression-head
Rules
2445×times-frac
1389×add-sqr-sqrt
1343×*-un-lft-identity
1009×add-cube-cbrt
484×sqrt-prod
421×associate-*r*
167×distribute-lft-out-- difference-of-squares
89×associate-/l*
87×div-inv
31×add-cbrt-cube add-exp-log
18×associate-/r*
16×associate-/r/
15×cbrt-undiv div-exp
12×unswap-sqr
6×associate-*l*
5×pow1
4×prod-exp cbrt-unprod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×clear-num frac-2neg flip3-- flip--
1×pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
3 → 1097
Calls
3 calls:
236.0ms
(* (sqrt 2.0) (/ (/ (sqrt 2.0) (/ z x)) (- y t)))
19.0ms
(/ (sqrt 2.0) (/ z x))
73.0ms
(/ (/ (sqrt 2.0) (/ z x)) (- y t))

series447.0ms

Counts
3 → 9
Calls
3 calls:
252.0ms
(* (sqrt 2.0) (/ (/ (sqrt 2.0) (/ z x)) (- y t)))
70.0ms
(/ (sqrt 2.0) (/ z x))
125.0ms
(/ (/ (sqrt 2.0) (/ z x)) (- y t))

simplify2.3s

Counts
1106 → 1106
Iterations
IterNodes
done5002
13210
01088

prune5.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes670.0ms

Accuracy

26.2% (4.2b remaining)

Error of 4.2b against oracle of 0.0b and baseline of 5.7b

bsearch39.0ms

Steps
ItersRangePoint
8
4.8449879754493305e+83
1.4198916100232703e+88
4.973589732317052e+83

simplify2.0ms

Iterations
IterNodes
done15
115
014

end0.0ms

sample913.0ms

Algorithm
intervals
Results
555.0ms8722×body80valid