Details

Time bar (total: 6.2s)

sample25.0ms

Algorithm
intervals
Results
12.0ms360×body80valid

simplify502.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12415
25315
38715
413315
517915
619215
720915
823415
925215
1026415
1128015
1235315
1345615
1447815
1548615
done48615

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(* (* z 3.0) y)
0.2b
(/ y (* z 3.0))
7.1b
(/ t (* (* z 3.0) y))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
14×*-un-lft-identity
9×pow1 add-sqr-sqrt add-cube-cbrt add-log-exp
7×prod-exp cbrt-unprod
6×times-frac associate-/l*
5×cbrt-undiv div-exp
3×associate-*r* pow-prod-down
2×associate-+l+ frac-2neg frac-add clear-num associate-/r* sum-log div-inv distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ distribute-lft-out--
Counts
4 → 81
Calls
4 calls:
32.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
7.0ms
(* (* z 3.0) y)
3.0ms
(/ y (* z 3.0))
7.0ms
(/ t (* (* z 3.0) y))

series148.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
20.0ms
(* (* z 3.0) y)
20.0ms
(/ y (* z 3.0))
31.0ms
(/ t (* (* z 3.0) y))

simplify607.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (166.0ms)

IterNodesCost
01491162
14051101
21796977
done5001977

prune210.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
2.2b
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
32×add-cbrt-cube
29×add-sqr-sqrt
22×associate-*r*
21×add-cube-cbrt *-un-lft-identity times-frac
19×cbrt-prod
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
6×pow1
5×associate-*l*
4×add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 95
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
0.0ms
(cbrt t)
26.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

series612.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt t)
183.0ms
(cbrt t)
178.0ms
(cbrt t)
56.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

simplify769.0ms

Counts
107 → 107
Iterations

Useful iterations: 2 (212.0ms)

IterNodesCost
01561479
15011407
22643991
done5001991

prune335.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ y (* z 3.0))
0.2b
(/ t (* z 3.0))
3.5b
(/ (/ t (* z 3.0)) y)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
29×*-un-lft-identity
24×add-sqr-sqrt add-cube-cbrt
23×add-exp-log add-cbrt-cube
13×associate-/l*
9×cbrt-undiv div-exp add-log-exp
7×div-inv
5×associate-/r*
4×pow1
3×frac-2neg prod-exp clear-num cbrt-unprod
2×associate-+l+ frac-add sum-log distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ distribute-lft-out--
Counts
4 → 109
Calls
4 calls:
38.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
3.0ms
(/ y (* z 3.0))
3.0ms
(/ t (* z 3.0))
10.0ms
(/ (/ t (* z 3.0)) y)

series147.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
19.0ms
(/ y (* z 3.0))
19.0ms
(/ t (* z 3.0))
32.0ms
(/ (/ t (* z 3.0)) y)

simplify556.0ms

Counts
121 → 121
Iterations

Useful iterations: 2 (187.0ms)

IterNodesCost
01951534
14831459
216691333
done50001333

prune302.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (* 0.3333333333333333 (/ t z)) y))
0.2b
(* 0.3333333333333333 (/ t z))
0.2b
(/ y (* z 3.0))
3.5b
(/ (* 0.3333333333333333 (/ t z)) y)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
21×add-sqr-sqrt *-un-lft-identity
16×add-cube-cbrt times-frac
13×associate-*r*
9×add-log-exp
7×cbrt-undiv div-exp
6×pow1
5×prod-exp cbrt-unprod
4×associate-/r* associate-/l*
3×associate-*l* div-inv
2×associate-+l+ frac-2neg associate-*r/ frac-add clear-num sum-log distribute-lft-out unswap-sqr
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log pow-prod-down *-commutative flip-- flip-+ associate-/l/ distribute-lft-out--
Counts
4 → 96
Calls
4 calls:
33.0ms
(+ (- x (/ y (* z 3.0))) (/ (* 0.3333333333333333 (/ t z)) y))
7.0ms
(* 0.3333333333333333 (/ t z))
3.0ms
(/ y (* z 3.0))
5.0ms
(/ (* 0.3333333333333333 (/ t z)) y)

series147.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ (- x (/ y (* z 3.0))) (/ (* 0.3333333333333333 (/ t z)) y))
19.0ms
(* 0.3333333333333333 (/ t z))
19.0ms
(/ y (* z 3.0))
29.0ms
(/ (* 0.3333333333333333 (/ t z)) y)

simplify573.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (160.0ms)

IterNodesCost
01891276
14941199
218581075
done50001075

prune251.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes159.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01422
11722
done1722

end0.0ms

sample652.0ms

Algorithm
intervals
Results
374.0ms11213×body80valid