Details

Time bar (total: 9.4s)

sample22.0ms

Algorithm
intervals
Results
8.0ms310×body80valid

simplify989.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
113185
101410
9591
8253
7114
648
544
438
333
222
116
06

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
11.3b
(/ (* x (+ y z)) z)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r* associate-*r/
3×associate-/r* times-frac associate-*l*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
31.0ms
(* x (+ y z))
27.0ms
(/ (* x (+ y z)) z)

series95.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* x (+ y z))
64.0ms
(/ (* x (+ y z)) z)

simplify1.1s

Counts
52 → 52
Iterations
IterNodes
done5001
21178
1245
086

prune224.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ z y) z)
2.5b
(* x (/ (+ z y) z))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
9×add-cbrt-cube add-exp-log
7×distribute-lft-out
4×pow1 associate-/l*
3×associate-/r* associate-*l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-+ pow-prod-down associate-*r/ *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
14.0ms
(/ (+ z y) z)
37.0ms
(* x (/ (+ z y) z))

series114.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (+ z y) z)
86.0ms
(* x (/ (+ z y) z))

simplify529.0ms

Counts
74 → 74
Iterations
IterNodes
done5000
21030
1249
097

prune374.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x z) y) x)
6.1b
(* (/ x z) y)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×*-un-lft-identity times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
4×pow1 add-log-exp
3×associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative sum-log flip3-+ div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv
Counts
2 → 43
Calls
2 calls:
10.0ms
(+ (* (/ x z) y) x)
29.0ms
(* (/ x z) y)

series62.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* (/ x z) y) x)
23.0ms
(* (/ x z) y)

simplify649.0ms

Counts
49 → 49
Iterations
IterNodes
done5001
21067
1217
087

prune200.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.7b
(* (* (* (cbrt y) (cbrt y)) (/ x z)) (cbrt y))
5.6b
(* (* (cbrt y) (cbrt y)) (/ x z))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
21×add-cbrt-cube
19×associate-*r*
18×add-sqr-sqrt pow1
17×prod-exp cbrt-unprod
15×*-un-lft-identity add-cube-cbrt
10×times-frac
9×cbrt-prod pow-prod-down
4×cbrt-undiv div-exp add-log-exp
2×pow1/3 associate-*l* associate-*r/ *-commutative unswap-sqr
1×associate-*l/ div-inv
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
91.0ms
(* (* (* (cbrt y) (cbrt y)) (/ x z)) (cbrt y))
29.0ms
(* (* (cbrt y) (cbrt y)) (/ x z))

series794.0ms

Counts
4 → 12
Calls
4 calls:
293.0ms
(cbrt y)
241.0ms
(cbrt y)
67.0ms
(* (* (* (cbrt y) (cbrt y)) (/ x z)) (cbrt y))
193.0ms
(* (* (cbrt y) (cbrt y)) (/ x z))

simplify2.4s

Counts
98 → 98
Iterations
IterNodes
done5001
22972
1400
0129

prune437.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes234.0ms

Accuracy

77.1% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.2b

bsearch2.0ms

simplify11.0ms

Iterations
IterNodes
done37
337
234
131
024

end0.0ms

sample816.0ms

Algorithm
intervals
Results
443.0ms9597×body80valid