Details

Time bar (total: 12.7s)

sample54.0ms

Algorithm
intervals
Results
23.0ms337×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5000
93982
81054
7411
6217
5160
499
358
225
114
08

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize24.0ms

Local error

Found 1 expressions with local error:

7.6b
(* (/ z t) (- x y))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
add-cube-cbrt
add-cbrt-cube add-exp-log
associate-*r*
pow1
distribute-rgt-in frac-times sub-neg distribute-lft-in flip3-- prod-exp associate-*r/ cbrt-unprod flip-- unswap-sqr
cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
45.0ms
(* (/ z t) (- x y))

series94.0ms

Counts
1 → 3
Calls
1 calls:
94.0ms
(* (/ z t) (- x y))

simplify701.0ms

Counts
45 → 45
Iterations
IterNodes
done5000
21162
1262
099

prune281.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 1 expressions with local error:

7.7b
(/ (- x y) (/ t z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
85×add-sqr-sqrt *-un-lft-identity
57×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
div-inv
add-cbrt-cube add-exp-log
associate-/l*
cbrt-undiv div-exp
associate-/l/
pow1 clear-num frac-2neg flip3-- div-sub associate-/r/ flip-- add-log-exp
Counts
1 → 101
Calls
1 calls:
17.0ms
(/ (- x y) (/ t z))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(/ (- x y) (/ t z))

simplify1.5s

Counts
104 → 104
Iterations
IterNodes
done5000
22700
1594
0195

prune502.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
2.0b
(* (/ (cbrt z) t) (- x y))
2.1b
(* (/ (* (cbrt z) (cbrt z)) 1) (* (/ (cbrt z) t) (- x y)))

rewrite160.0ms

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
sub-neg flip3-- 1-exp associate-*r* flip--
pow-prod-down associate-*l/ add-log-exp
unswap-sqr
pow1/3 *-commutative div-inv
distribute-lft-out-- difference-of-squares
Counts
4 → 135
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
53.0ms
(* (/ (cbrt z) t) (- x y))
100.0ms
(* (/ (* (cbrt z) (cbrt z)) 1) (* (/ (cbrt z) t) (- x y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
288.0ms
(cbrt z)
282.0ms
(cbrt z)
281.0ms
(* (/ (cbrt z) t) (- x y))
152.0ms
(* (/ (* (cbrt z) (cbrt z)) 1) (* (/ (cbrt z) t) (- x y)))

simplify509.0ms

Counts
147 → 147
Iterations
IterNodes
done5001
1743
0224

prune856.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- x y))
7.6b
(* (/ 1 t) (* z (- x y)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
16×add-cbrt-cube associate-*l*
15×add-sqr-sqrt
13×*-un-lft-identity prod-exp
11×add-cube-cbrt
10×distribute-rgt-in distribute-lft-in
pow1 times-frac
associate-*r/
cbrt-unprod
sub-neg associate-*r*
div-exp pow-prod-down
flip3-- flip--
frac-times cbrt-undiv rec-exp 1-exp *-commutative add-log-exp
associate-*l/ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 75
Calls
2 calls:
16.0ms
(* z (- x y))
37.0ms
(* (/ 1 t) (* z (- x y)))

series135.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* z (- x y))
75.0ms
(* (/ 1 t) (* z (- x y)))

simplify1.6s

Counts
81 → 81
Iterations
IterNodes
done5000
22234
1408
0135

prune407.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes415.0ms

Accuracy

32.1% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.2b

bsearch1.0ms

simplify5.0ms

Iterations
IterNodes
done27
227
125
019

end0.0ms

sample1.9s

Algorithm
intervals
Results
666.0ms10614×body80valid