Details

Time bar (total: 25.6s)

sample31.0ms

Algorithm
intervals
Results
11.0ms326×body80valid

simplify11.0s

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
089
1158
2338
3638
41028
51428
61758
72138
82828
93678
104628
115208
125708
136138
146358
156738
168028
179408
1812538
1917448
2023498
2125208
2225288
done25288

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize16.0ms

Local error

Found 1 expressions with local error:

6.1b
(* (/ x y) (- z t))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
23×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff
13×associate-*l*
11×distribute-rgt-in distribute-lft-in
10×times-frac
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×frac-times sub-neg flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 62
Calls
1 calls:
55.0ms
(* (/ x y) (- z t))

series95.0ms

Counts
1 → 3
Calls
1 calls:
95.0ms
(* (/ x y) (- z t))

simplify2.8s

Counts
65 → 65
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01491055
1366883
21001737
33945695
done5000695

prune168.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
11.1b
(cbrt (/ x y))
11.1b
(cbrt (/ x y))
11.1b
(cbrt (/ x y))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
44×distribute-rgt-in distribute-lft-in
39×cbrt-prod cbrt-div
36×prod-diff
29×frac-times
27×times-frac
19×associate-*r/
16×pow1 add-exp-log
13×associate-*l/
10×add-cbrt-cube
8×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
4×expm1-log1p-u sub-neg log1p-expm1-u add-log-exp
3×pow1/3 div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 163
Calls
4 calls:
136.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series311.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
78.0ms
(cbrt (/ x y))
76.0ms
(cbrt (/ x y))
91.0ms
(cbrt (/ x y))

simplify1.3s

Counts
175 → 175
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02804101
17093711
217472501
done50002055

prune406.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

11.1b
(cbrt (/ x y))
11.1b
(cbrt (/ x y))
11.1b
(cbrt (/ x y))
11.1b
(cbrt (/ x y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod
36×times-frac
32×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u cbrt-div pow1/3 add-cbrt-cube log1p-expm1-u div-inv add-log-exp
Counts
4 → 96
Calls
4 calls:
4.0ms
(cbrt (/ x y))
5.0ms
(cbrt (/ x y))
4.0ms
(cbrt (/ x y))
4.0ms
(cbrt (/ x y))

series311.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(cbrt (/ x y))
85.0ms
(cbrt (/ x y))
75.0ms
(cbrt (/ x y))
77.0ms
(cbrt (/ x y))

simplify2.8s

Counts
108 → 108
Iterations

Useful iterations: done (2.8s)

IterNodesCost
078988
1113948
2199908
3407884
4832848
51941812
done5000764

prune431.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

11.1b
(cbrt (/ x y))
11.1b
(cbrt (/ x y))
11.1b
(cbrt (/ x y))
11.1b
(cbrt (/ x y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod
36×times-frac
32×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u cbrt-div pow1/3 add-cbrt-cube log1p-expm1-u div-inv add-log-exp
Counts
4 → 96
Calls
4 calls:
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series309.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(cbrt (/ x y))
84.0ms
(cbrt (/ x y))
68.0ms
(cbrt (/ x y))
74.0ms
(cbrt (/ x y))

simplify2.7s

Counts
108 → 108
Iterations

Useful iterations: done (2.7s)

IterNodesCost
078988
1113948
2199908
3407884
4832848
51941812
done5000764

prune651.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes417.0ms

Accuracy

50.1% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.9b

bsearch2.0ms

simplify9.0ms

Iterations

Useful iterations: done (9.0ms)

IterNodesCost
02054
12746
23038
33338
done3337

end0.0ms

sample1.5s

Algorithm
intervals
Results
827.0ms10676×body80valid