Details

Time bar (total: 11.7s)

sample20.0ms

Algorithm
intervals
Results
9.0ms316×body80valid

simplify81.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11511
22511
34011
46011
57811
69311
710911
811611
911911
done11911

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
2.8b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite294.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*r/ associate-*l* log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 927
Calls
3 calls:
40.0ms
(- (/ y z) (/ t (- 1.0 z)))
6.0ms
(/ t (- 1.0 z))
147.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series124.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (/ y z) (/ t (- 1.0 z)))
33.0ms
(/ t (- 1.0 z))
55.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify660.0ms

Counts
936 → 936
Iterations

Useful iterations: done (607.0ms)

IterNodesCost
0100949986
1165744871
done500144159

prune1.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(/ t (- 1.0 z))
0.1b
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
2.8b
(* x (+ (fma y (/ 1 z) (- (/ t (- 1.0 z)))) (+ (/ t (- 1.0 z)) (- (/ t (- 1.0 z))))))

rewrite869.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
44×add-sqr-sqrt
30×times-frac
26×add-cube-cbrt
10×add-exp-log associate-/r* add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1 associate-*r* associate-/l*
5×distribute-lft-out
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×associate-*l*
2×cbrt-undiv flip3-- frac-2neg associate-*r/ div-exp clear-num flip-- div-inv
1×distribute-rgt-in distribute-rgt-neg-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ fma-udef unswap-sqr
Counts
4 → 115
Calls
4 calls:
5.0ms
(/ t (- 1.0 z))
5.0ms
(/ t (- 1.0 z))
0.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
854.0ms
(* x (+ (fma y (/ 1 z) (- (/ t (- 1.0 z)))) (+ (/ t (- 1.0 z)) (- (/ t (- 1.0 z))))))

series175.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ t (- 1.0 z))
36.0ms
(/ t (- 1.0 z))
48.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
57.0ms
(* x (+ (fma y (/ 1 z) (- (/ t (- 1.0 z)))) (+ (/ t (- 1.0 z)) (- (/ t (- 1.0 z))))))

simplify528.0ms

Counts
127 → 127
Iterations

Useful iterations: done (525.0ms)

IterNodesCost
01591952
13811843
214511354
done50001353

prune360.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.8b
(* x (+ (- (* (* (cbrt y) (cbrt y)) (/ (cbrt y) z)) (/ t (- 1.0 z))) (+ (/ t (- 1.0 z)) (- (/ t (- 1.0 z))))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
14×associate-*r/
12×frac-add
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt
6×pow1 add-exp-log associate-*r* add-cbrt-cube
5×distribute-lft-out
4×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u add-log-exp
3×flip3-- pow1/3 associate-*l* frac-sub flip-- distribute-neg-frac
1×distribute-rgt-in distribute-rgt-neg-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 75
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
1.2s
(* x (+ (- (* (* (cbrt y) (cbrt y)) (/ (cbrt y) z)) (/ t (- 1.0 z))) (+ (/ t (- 1.0 z)) (- (/ t (- 1.0 z))))))

series593.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt y)
171.0ms
(cbrt y)
176.0ms
(cbrt y)
77.0ms
(* x (+ (- (* (* (cbrt y) (cbrt y)) (/ (cbrt y) z)) (/ t (- 1.0 z))) (+ (/ t (- 1.0 z)) (- (/ t (- 1.0 z))))))

simplify949.0ms

Counts
87 → 87
Iterations

Useful iterations: done (946.0ms)

IterNodesCost
01532026
15421901
227371205
done50011174

prune315.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.8b
(* x (fma (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ (cbrt y) (cbrt z)) (- (/ t (- 1.0 z)))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×fma-udef
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 61
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
3.0ms
(* x (fma (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ (cbrt y) (cbrt z)) (- (/ t (- 1.0 z)))))

series711.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt y)
174.0ms
(cbrt y)
170.0ms
(cbrt y)
182.0ms
(* x (fma (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ (cbrt y) (cbrt z)) (- (/ t (- 1.0 z)))))

simplify1.8s

Counts
73 → 73
Iterations

Useful iterations: 3 (289.0ms)

IterNodesCost
085970
1181951
2661603
33331561
done5001561

prune240.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes308.0ms

Accuracy

57.6% (2.0b remaining)

Error of 2.1b against oracle of 0.1b and baseline of 4.8b

bsearch2.0ms

simplify10.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
036122
15397
25697
35797
done5797

end0.0ms

sample550.0ms

Algorithm
intervals
Results
294.0ms10012×body80valid