Details

Time bar (total: 14.1s)

sample24.0ms

Algorithm
intervals
Results
10.0ms317×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 3 (10.0ms)

IterNodesCost
08164
114164
228164
351139
489139
5156139
6353139
71018139
83315139
done5000139

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(+ x (/ (* (- y x) z) t))
5.0b
(/ (* (- y x) z) t)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-cbrt-cube add-exp-log
8×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×expm1-log1p-u associate-/r* fma-def times-frac associate-*r* log1p-expm1-u
2×cbrt-undiv flip3-- div-exp prod-exp cbrt-unprod flip-- associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 66
Calls
3 calls:
19.0ms
(* (- y x) z)
8.0ms
(+ x (/ (* (- y x) z) t))
13.0ms
(/ (* (- y x) z) t)

series158.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* (- y x) z)
57.0ms
(+ x (/ (* (- y x) z) t))
58.0ms
(/ (* (- y x) z) t)

simplify1.7s

Counts
75 → 75
Iterations

Useful iterations: done (1.7s)

IterNodesCost
011614392
130413267
2157312842
done500112572

prune443.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.8b
(* (- y x) (/ z t))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac
7×add-cbrt-cube add-exp-log
5×associate-*l*
4×pow1 add-log-exp
3×fma-def
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp cbrt-unprod log1p-expm1-u flip-- unswap-sqr
1×cbrt-undiv +-commutative sum-log flip3-+ div-exp pow-prod-down associate-*r/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 56
Calls
2 calls:
10.0ms
(+ x (* (- y x) (/ z t)))
49.0ms
(* (- y x) (/ z t))

series151.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(+ x (* (- y x) (/ z t)))
82.0ms
(* (- y x) (/ z t))

simplify1.6s

Counts
62 → 62
Iterations

Useful iterations: done (1.5s)

IterNodesCost
011914437
131813000
2155112403
done500011848

prune318.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

6.7b
(cbrt (* (- y x) (/ z t)))
6.8b
(* (- y x) (/ z t))
6.8b
(* (- y x) (/ z t))
6.8b
(* (- y x) (/ z t))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
39×associate-*r*
34×*-un-lft-identity
30×times-frac
28×add-cube-cbrt
19×add-cbrt-cube add-exp-log
15×associate-*l*
10×pow1
8×frac-times flip3-- associate-*l/ flip--
6×prod-exp cbrt-unprod unswap-sqr
5×cbrt-div
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
1×cbrt-prod pow1/3
Counts
4 → 136
Calls
4 calls:
8.0ms
(cbrt (* (- y x) (/ z t)))
26.0ms
(* (- y x) (/ z t))
32.0ms
(* (- y x) (/ z t))
40.0ms
(* (- y x) (/ z t))

series370.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(cbrt (* (- y x) (/ z t)))
48.0ms
(* (- y x) (/ z t))
50.0ms
(* (- y x) (/ z t))
62.0ms
(* (- y x) (/ z t))

simplify1.4s

Counts
148 → 148
Iterations

Useful iterations: done (1.4s)

IterNodesCost
016638083
139534112
2177033081
done500232771

prune966.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) t)
5.6b
(fma (/ (- y x) t) z x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/r*
2×expm1-log1p-u pow1 log1p-expm1-u add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp fma-udef div-inv flip--
Counts
2 → 50
Calls
2 calls:
15.0ms
(/ (- y x) t)
0.0ms
(fma (/ (- y x) t) z x)

series88.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (- y x) t)
53.0ms
(fma (/ (- y x) t) z x)

simplify2.2s

Counts
56 → 56
Iterations

Useful iterations: 3 (774.0ms)

IterNodesCost
09311653
119911114
264011034
3402710959
done500010959

prune237.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes446.0ms

Accuracy

62.7% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.0b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
019641
123641
done23641

end0.0ms

sample1.6s

Algorithm
intervals
Results
985.0ms10608×body80valid