Details

Time bar (total: 17.5s)

sample29.0ms

Algorithm
intervals
Results
14.0ms366×body80valid

simplify3.7s

Counts
1 → 1
Iterations
IterNodes
done5001
113881
101313
9507
8252
7161
6132
5111
487
355
231
114
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
8.1b
(* (/ x y) (- z t))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×associate-*r*
4×distribute-rgt-in pow1 associate-+l+ sub-neg distribute-lft-in add-log-exp
2×frac-times flip3-- prod-exp associate-*r/ cbrt-unprod flip-- unswap-sqr
1×cbrt-undiv +-commutative sum-log flip3-+ div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
22.0ms
(+ (* (/ x y) (- z t)) t)
41.0ms
(* (/ x y) (- z t))

series140.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (* (/ x y) (- z t)) t)
94.0ms
(* (/ x y) (- z t))

simplify2.2s

Counts
63 → 63
Iterations
IterNodes
done5002
34231
21044
1328
0122

prune407.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.2b
(* (/ x (cbrt y)) (- z t))
3.8b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
32×add-sqr-sqrt
29×associate-*l*
24×*-un-lft-identity
23×times-frac
22×add-cube-cbrt
20×div-exp cbrt-unprod
16×cbrt-prod
11×frac-times pow1 associate-*r/
10×distribute-rgt-in cbrt-undiv distribute-lft-in
6×rec-exp 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 → 141
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
28.0ms
(* (/ x (cbrt y)) (- z t))
96.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

series972.0ms

Counts
4 → 12
Calls
4 calls:
319.0ms
(cbrt y)
277.0ms
(cbrt y)
274.0ms
(* (/ x (cbrt y)) (- z t))
102.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

simplify1.9s

Counts
153 → 153
Iterations
IterNodes
done5003
22517
1692
0227

prune841.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.7b
(* (/ (cbrt x) y) (- z t))
4.7b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

rewrite112.0ms

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×frac-times pow1 associate-*r/
10×distribute-rgt-in cbrt-undiv 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)
25.0ms
(* (/ (cbrt x) y) (- z t))
79.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

series831.0ms

Counts
4 → 12
Calls
4 calls:
295.0ms
(cbrt x)
231.0ms
(cbrt x)
194.0ms
(* (/ (cbrt x) y) (- z t))
111.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

simplify1.7s

Counts
147 → 147
Iterations
IterNodes
done5000
22345
1688
0224

prune627.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x (- z t)) y) t)
6.6b
(/ (* x (- z t)) y)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
7×add-cbrt-cube add-exp-log
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×associate-/r* times-frac
2×pow1 cbrt-undiv div-exp associate-*r/ associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ flip3-- prod-exp cbrt-unprod flip-+ div-inv flip-- distribute-lft-out associate-/l*
Counts
2 → 35
Calls
2 calls:
18.0ms
(+ (/ (* x (- z t)) y) t)
12.0ms
(/ (* x (- z t)) y)

series124.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(+ (/ (* x (- z t)) y) t)
72.0ms
(/ (* x (- z t)) y)

simplify1.8s

Counts
41 → 41
Iterations
IterNodes
done5007
33881
2793
1244
086

prune183.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes492.0ms

Accuracy

-12.2% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.1b

bsearch192.0ms

Steps
ItersRangePoint
10
1.054098417937684e-163
4.086040159943045e-152
1.5368468718929425e-157
7
9.9261037431321e-284
2.703037102139842e-282
7.8187551288468e-283
7
-7.55818170176457e-223
-8.136237533380533e-225
-1.3361173630596741e-223
10
-5.365292474557549e-15
-6.425741402138989e-34
-4.0722904334320524e-23

simplify8.0ms

Iterations
IterNodes
done35
135
026

end0.0ms

sample950.0ms

Algorithm
intervals
Results
506.0ms10759×body80valid