Details

Time bar (total: 19.0s)

sample53.0ms

Algorithm
intervals
Results
23.0ms340×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12415
25415
39315
414515
530015
679115
7264215
done500015

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ y (* z 3.0)))
0.2b
(/ y (* z 3.0))
0.2b
(* (* z 3.0) y)
6.9b
(/ t (* (* z 3.0) y))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt *-un-lft-identity
23×add-exp-log add-cube-cbrt add-cbrt-cube
21×prod-diff
15×times-frac
9×pow1
7×prod-exp cbrt-unprod
6×associate-/l* add-log-exp
5×cbrt-undiv div-exp div-inv
4×expm1-log1p-u log1p-expm1-u
3×fma-neg associate-*r* pow-prod-down
2×frac-2neg clear-num associate-/r*
1×sub-neg flip3-- diff-log associate-*l* *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 108
Calls
4 calls:
20.0ms
(- x (/ y (* z 3.0)))
9.0ms
(/ y (* z 3.0))
25.0ms
(* (* z 3.0) y)
20.0ms
(/ t (* (* z 3.0) y))

series198.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- x (/ y (* z 3.0)))
39.0ms
(/ y (* z 3.0))
52.0ms
(* (* z 3.0) y)
49.0ms
(/ t (* (* z 3.0) y))

simplify2.3s

Counts
120 → 120
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01861729
14731505
228501193
done50001132

prune432.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
1.8b
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

rewrite66.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 103
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
59.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

series1.5s

Counts
4 → 12
Calls
4 calls:
328.0ms
(cbrt t)
352.0ms
(cbrt t)
740.0ms
(cbrt t)
81.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

simplify3.0s

Counts
115 → 115
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01601527
15271455
239141095
done5001923

prune561.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ y (* z 3.0)))
0.2b
(/ y (* z 3.0))
0.3b
(/ t (* z 3.0))
4.2b
(* (/ t (* z 3.0)) (/ 1 y))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
53×add-exp-log
40×add-sqr-sqrt
35×add-cbrt-cube
34×*-un-lft-identity
31×add-cube-cbrt
29×times-frac
21×prod-diff
18×div-exp prod-exp
13×associate-*r*
11×cbrt-undiv
10×cbrt-unprod
7×associate-*l* div-inv
6×pow1 associate-/l* add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×rec-exp fma-neg 1-exp unswap-sqr
2×frac-2neg clear-num associate-/r*
1×frac-times sub-neg flip3-- diff-log associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 142
Calls
4 calls:
23.0ms
(- x (/ y (* z 3.0)))
9.0ms
(/ y (* z 3.0))
9.0ms
(/ t (* z 3.0))
71.0ms
(* (/ t (* z 3.0)) (/ 1 y))

series151.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(- x (/ y (* z 3.0)))
24.0ms
(/ y (* z 3.0))
31.0ms
(/ t (* z 3.0))
42.0ms
(* (/ t (* z 3.0)) (/ 1 y))

simplify3.1s

Counts
154 → 154
Iterations

Useful iterations: done (3.1s)

IterNodesCost
02432227
16841925
239081480
done50011428

prune474.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (/ y z) 3.0))
0.2b
(/ (/ y z) 3.0)
0.3b
(/ t (* z 3.0))
4.2b
(* (/ t (* z 3.0)) (/ 1 y))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
293×times-frac
222×add-sqr-sqrt
209×*-un-lft-identity
206×add-cube-cbrt
129×prod-diff
53×add-exp-log
35×add-cbrt-cube
20×div-inv
19×div-exp
17×prod-exp
16×associate-/l*
13×associate-*r*
12×cbrt-undiv
9×cbrt-unprod
7×associate-*l*
6×pow1 add-log-exp
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×rec-exp fma-neg 1-exp difference-of-squares unswap-sqr
2×frac-2neg clear-num
1×frac-times sub-neg flip3-- diff-log associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative flip-- associate-/l/ distribute-lft-out--
Counts
4 → 301
Calls
4 calls:
49.0ms
(- x (/ (/ y z) 3.0))
32.0ms
(/ (/ y z) 3.0)
14.0ms
(/ t (* z 3.0))
53.0ms
(* (/ t (* z 3.0)) (/ 1 y))

series188.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- x (/ (/ y z) 3.0))
32.0ms
(/ (/ y z) 3.0)
35.0ms
(/ t (* z 3.0))
60.0ms
(* (/ t (* z 3.0)) (/ 1 y))

simplify1.1s

Counts
313 → 313
Iterations

Useful iterations: done (1.1s)

IterNodesCost
06049435
116938667
done50006876

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes268.0ms

Accuracy

61.8% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 1.6b

bsearch2.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02561
13545
done3545

end0.0ms

sample1.5s

Algorithm
intervals
Results
755.0ms11150×body80valid