Details

Time bar (total: 14.8s)

sample35.0ms

Algorithm
intervals
Results
17.0ms347×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2319
3579
4959
51309
61619
71869
83989
910549
1049929
done50009

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
6.5b
(* (/ x y) (- z t))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
30.0ms
(+ (* (/ x y) (- z t)) t)
58.0ms
(* (/ x y) (- z t))

series110.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (* (/ x y) (- z t)) t)
63.0ms
(* (/ x y) (- z t))

simplify801.0ms

Counts
63 → 63
Iterations

Useful iterations: done (799.0ms)

IterNodesCost
0120727
1322701
21412649
done5001643

prune148.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.0b
(* (/ (cbrt x) y) (- z t))
4.0b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
32×add-sqr-sqrt
29×associate-*l*
24×*-un-lft-identity
23×times-frac
22×add-cube-cbrt
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1 frac-times associate-*r/
10×cbrt-undiv distribute-rgt-in distribute-lft-in
6×sub-neg flip3-- 1-exp associate-*r* flip--
4×pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×distribute-lft-out-- difference-of-squares
Counts
4 → 135
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
35.0ms
(* (/ (cbrt x) y) (- z t))
74.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

series857.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(cbrt x)
268.0ms
(cbrt x)
213.0ms
(* (/ (cbrt x) y) (- z t))
110.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

simplify470.0ms

Counts
147 → 147
Iterations

Useful iterations: done (466.0ms)

IterNodesCost
02242272
17432025
done50001542

prune585.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

4.5b
(cbrt (* (/ (pow (cbrt x) 3) y) (- z t)))
6.5b
(* (/ (pow (cbrt x) 3) y) (- z t))
6.5b
(* (/ (pow (cbrt x) 3) y) (- z t))
6.5b
(* (/ (pow (cbrt x) 3) y) (- z t))

rewrite292.0ms

Algorithm
rewrite-expression-head
Rules
180×times-frac
174×associate-*l*
172×add-sqr-sqrt
115×*-un-lft-identity
109×add-cube-cbrt
61×cbrt-prod
60×unpow-prod-down cube-prod
34×add-exp-log
21×unswap-sqr
19×add-cbrt-cube
15×associate-*r*
12×prod-exp sqr-pow
10×pow1
9×cube-mult unpow3 div-exp
8×frac-times flip3-- associate-*r/ flip--
6×distribute-rgt-in sub-neg distribute-lft-in cbrt-unprod
5×cbrt-div
4×associate-*l/ add-log-exp
3×cbrt-undiv pow-to-exp pow-prod-down pow-exp *-commutative div-inv distribute-lft-out-- difference-of-squares
1×pow1/3
Counts
4 → 296
Calls
4 calls:
19.0ms
(cbrt (* (/ (pow (cbrt x) 3) y) (- z t)))
87.0ms
(* (/ (pow (cbrt x) 3) y) (- z t))
75.0ms
(* (/ (pow (cbrt x) 3) y) (- z t))
79.0ms
(* (/ (pow (cbrt x) 3) y) (- z t))

series520.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt (* (/ (pow (cbrt x) 3) y) (- z t)))
98.0ms
(* (/ (pow (cbrt x) 3) y) (- z t))
101.0ms
(* (/ (pow (cbrt x) 3) y) (- z t))
133.0ms
(* (/ (pow (cbrt x) 3) y) (- z t))

simplify1.2s

Counts
308 → 308
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02034187
14993262
220293124
done50023115

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

4.5b
(cbrt (* (/ (pow (cbrt x) 3) y) (- z t)))
6.5b
(* (/ (pow (cbrt x) 3) y) (- z t))
6.5b
(* (/ (pow (cbrt x) 3) y) (- z t))
9.0b
(cbrt (/ x y))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
129×times-frac
123×add-sqr-sqrt
116×associate-*l*
85×*-un-lft-identity
81×add-cube-cbrt
54×cbrt-prod
40×unpow-prod-down cube-prod
24×add-exp-log
14×add-cbrt-cube unswap-sqr
10×associate-*r*
8×pow1 prod-exp sqr-pow
6×cube-mult frac-times cbrt-div flip3-- unpow3 associate-*r/ div-exp flip--
4×distribute-rgt-in sub-neg distribute-lft-in cbrt-unprod add-log-exp
3×associate-*l/ div-inv
2×cbrt-undiv pow-to-exp pow1/3 pow-prod-down pow-exp *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 224
Calls
4 calls:
21.0ms
(cbrt (* (/ (pow (cbrt x) 3) y) (- z t)))
78.0ms
(* (/ (pow (cbrt x) 3) y) (- z t))
64.0ms
(* (/ (pow (cbrt x) 3) y) (- z t))
11.0ms
(cbrt (/ x y))

series485.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt (* (/ (pow (cbrt x) 3) y) (- z t)))
104.0ms
(* (/ (pow (cbrt x) 3) y) (- z t))
105.0ms
(* (/ (pow (cbrt x) 3) y) (- z t))
86.0ms
(cbrt (/ x y))

simplify1.0s

Counts
236 → 236
Iterations

Useful iterations: done (998.0ms)

IterNodesCost
02553125
15702479
222042364
done50002350

prune1.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes305.0ms

Accuracy

28.9% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.1b

bsearch50.0ms

Steps
ItersRangePoint
3
1.708101450840287e-40
2.063320466130593e-40
1.81393871375494e-40
7
-1.3314355258981093e+24
-4.224272091334773e+22
-4.297810879844834e+22

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02035
12635
done2635

end0.0ms

sample1.5s

Algorithm
intervals
Results
477.0ms10769×body80valid