Details

Time bar (total: 10.4s)

sample29.0ms

Algorithm
intervals
Results
12.0ms365×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
12713
29013
328913
470313
5123413
6152613
7156113
done156113

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.4b
(- (* x y) (* (* z 9.0) t))
7.1b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u times-frac associate-*r* pow-prod-down log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff clear-num associate-/r* *-commutative div-inv
Counts
3 → 62
Calls
3 calls:
7.0ms
(* (* z 9.0) t)
3.0ms
(- (* x y) (* (* z 9.0) t))
9.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series151.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(* (* z 9.0) t)
57.0ms
(- (* x y) (* (* z 9.0) t))
72.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify881.0ms

Counts
71 → 71
Iterations

Useful iterations: 2 (163.0ms)

IterNodesCost
0127944
1346906
21466787
done5000787

prune220.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
6.3b
(/ (* t z) a)
6.4b
(/ (* x y) a)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod add-log-exp
5×associate-*r/
4×expm1-log1p-u log1p-expm1-u
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- fma-neg diff-log prod-diff pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 93
Calls
4 calls:
7.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
8.0ms
(* 4.5 (/ (* t z) a))
3.0ms
(/ (* t z) a)
3.0ms
(/ (* x y) a)

series190.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
28.0ms
(* 4.5 (/ (* t z) a))
23.0ms
(/ (* t z) a)
20.0ms
(/ (* x y) a)

simplify707.0ms

Counts
105 → 105
Iterations

Useful iterations: 2 (155.0ms)

IterNodesCost
01571165
14031114
21480975
done5000975

prune298.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
3.7b
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
6.4b
(/ (* x y) a)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
30×add-exp-log
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×associate-*r*
17×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* div-inv
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 110
Calls
4 calls:
0.0ms
(cbrt a)
1.0ms
(cbrt a)
25.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
3.0ms
(/ (* x y) a)

series449.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt a)
191.0ms
(cbrt a)
51.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
23.0ms
(/ (* x y) a)

simplify1.0s

Counts
122 → 122
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01871384
15291331
22204999
done5001991

prune452.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
3.7b
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
5.3b
(* x (/ y a))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
38×times-frac
35×associate-*r*
30×add-exp-log
29×add-cube-cbrt *-un-lft-identity
23×add-cbrt-cube
17×cbrt-prod
10×associate-*l* prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 associate-*r/ pow-prod-down *-commutative
1×frac-times associate-*l/
Counts
4 → 121
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
25.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
8.0ms
(* x (/ y a))

series468.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt a)
193.0ms
(cbrt a)
58.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
23.0ms
(* x (/ y a))

simplify1.0s

Counts
133 → 133
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02071475
15821412
222771078
done50001070

prune471.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes508.0ms

Accuracy

89.2% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 7.5b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03381
14660
done4660

end0.0ms

sample720.0ms

Algorithm
intervals
Results
384.0ms11208×body80valid