Details

Time bar (total: 14.7s)

sample45.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5004
61775
5497
4205
3109
250
125
013

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (/ t z) y) 2.0)
0.0b
(- z (/ (* (/ t z) y) 2.0))
4.2b
(/ y (- z (/ (* (/ t z) y) 2.0)))
5.2b
(* (/ t z) y)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
34×*-un-lft-identity
28×times-frac
24×add-cube-cbrt
20×add-cbrt-cube add-exp-log
13×associate-*l*
8×associate-/r*
6×pow1 cbrt-undiv div-exp add-log-exp
5×distribute-lft-out-- difference-of-squares
4×prod-exp cbrt-unprod associate-/l*
3×associate-*r* div-inv
2×clear-num frac-2neg flip3-- associate-*l/ associate-/r/ flip-- unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative associate-/l/
Counts
4 → 107
Calls
4 calls:
12.0ms
(/ (* (/ t z) y) 2.0)
7.0ms
(- z (/ (* (/ t z) y) 2.0))
14.0ms
(/ y (- z (/ (* (/ t z) y) 2.0)))
15.0ms
(* (/ t z) y)

series339.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (* (/ t z) y) 2.0)
49.0ms
(- z (/ (* (/ t z) y) 2.0))
233.0ms
(/ y (- z (/ (* (/ t z) y) 2.0)))
24.0ms
(* (/ t z) y)

simplify1.3s

Counts
119 → 119
Iterations
IterNodes
done5002
21339
1410
0172

prune692.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (/ t z) y) 2.0)
0.3b
(/ 1 (- z (/ (* (/ t z) y) 2.0)))
4.1b
(* y (/ 1 (- z (/ (* (/ t z) y) 2.0))))
5.2b
(* (/ t z) y)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
49×*-un-lft-identity
45×times-frac
34×add-cube-cbrt
31×add-exp-log
25×add-cbrt-cube
24×associate-*r*
16×associate-*l*
9×pow1 div-exp
8×associate-/r* prod-exp
7×cbrt-undiv distribute-lft-out-- difference-of-squares
6×cbrt-unprod
5×unswap-sqr
4×associate-/r/ div-inv associate-/l* add-log-exp
2×rec-exp clear-num frac-2neg flip3-- 1-exp pow-prod-down associate-*l/ *-commutative flip--
1×associate-*r/ un-div-inv pow-flip inv-pow associate-/l/
Counts
4 → 141
Calls
4 calls:
12.0ms
(/ (* (/ t z) y) 2.0)
16.0ms
(/ 1 (- z (/ (* (/ t z) y) 2.0)))
34.0ms
(* y (/ 1 (- z (/ (* (/ t z) y) 2.0))))
15.0ms
(* (/ t z) y)

series282.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (* (/ t z) y) 2.0)
34.0ms
(/ 1 (- z (/ (* (/ t z) y) 2.0)))
188.0ms
(* y (/ 1 (- z (/ (* (/ t z) y) 2.0))))
25.0ms
(* (/ t z) y)

simplify1.5s

Counts
153 → 153
Iterations
IterNodes
done5001
21553
1504
0202

prune826.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 4 expressions with local error:

4.2b
(/ y (- z (/ (* (* (cbrt (/ t z)) (cbrt (/ t z))) (* (cbrt (/ t z)) y)) 2.0)))
14.8b
(cbrt (/ t z))
14.8b
(cbrt (/ t z))
14.8b
(cbrt (/ t z))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt *-un-lft-identity
42×times-frac
39×cbrt-prod
35×add-cube-cbrt
6×add-cbrt-cube add-exp-log
5×associate-/r*
4×pow1 div-inv distribute-lft-out-- add-log-exp difference-of-squares
3×cbrt-div pow1/3 associate-/l*
2×associate-/r/
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp flip--
Counts
4 → 103
Calls
4 calls:
28.0ms
(/ y (- z (/ (* (* (cbrt (/ t z)) (cbrt (/ t z))) (* (cbrt (/ t z)) y)) 2.0)))
2.0ms
(cbrt (/ t z))
2.0ms
(cbrt (/ t z))
2.0ms
(cbrt (/ t z))

series520.0ms

Counts
4 → 12
Calls
4 calls:
282.0ms
(/ y (- z (/ (* (* (cbrt (/ t z)) (cbrt (/ t z))) (* (cbrt (/ t z)) y)) 2.0)))
84.0ms
(cbrt (/ t z))
72.0ms
(cbrt (/ t z))
81.0ms
(cbrt (/ t z))

simplify1.7s

Counts
115 → 115
Iterations
IterNodes
done5000
32387
2667
1264
0147

prune892.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- z (/ (* t (/ y z)) 2.0))
0.0b
(/ (* t (/ y z)) 2.0)
4.2b
(/ y (- z (/ (* t (/ y z)) 2.0)))
5.9b
(* t (/ y z))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
34×*-un-lft-identity
28×times-frac
24×add-cube-cbrt
20×add-cbrt-cube add-exp-log
13×associate-*r*
8×associate-/r*
6×pow1 cbrt-undiv div-exp add-log-exp
5×distribute-lft-out-- difference-of-squares
4×prod-exp cbrt-unprod associate-/l*
3×associate-*l* div-inv
2×clear-num frac-2neg flip3-- associate-*r/ associate-/r/ flip-- unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative associate-/l/
Counts
4 → 107
Calls
4 calls:
7.0ms
(- z (/ (* t (/ y z)) 2.0))
11.0ms
(/ (* t (/ y z)) 2.0)
16.0ms
(/ y (- z (/ (* t (/ y z)) 2.0)))
11.0ms
(* t (/ y z))

series421.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- z (/ (* t (/ y z)) 2.0))
40.0ms
(/ (* t (/ y z)) 2.0)
286.0ms
(/ y (- z (/ (* t (/ y z)) 2.0)))
27.0ms
(* t (/ y z))

simplify1.6s

Counts
119 → 119
Iterations
IterNodes
done5001
21393
1415
0171

prune721.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

regimes436.0ms

Accuracy

0% (0.6b remaining)

Error of 1.1b against oracle of 0.5b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done17
117
013

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s8000×body80valid