Details

Time bar (total: 28.3s)

sample61.0ms

Algorithm
intervals
Results
25.0ms343×body80valid

simplify246.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11511
22511
34111
46211
57911
69511
711211
812011
912311
done12311

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
6.5b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite825.0ms

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:
25.0ms
(/ t (- 1.0 z))
124.0ms
(- (/ y z) (/ t (- 1.0 z)))
442.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series291.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(/ t (- 1.0 z))
84.0ms
(- (/ y z) (/ t (- 1.0 z)))
121.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify3.7s

Counts
936 → 936
Iterations

Useful iterations: done (3.6s)

IterNodesCost
0100949986
1222244988
done500039914

prune6.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(fma 1 (/ y z) (- (/ t (- 1.0 z))))
6.5b
(* x (fma 1 (/ y z) (- (/ t (- 1.0 z)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
15×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r*
4×distribute-lft-out-- difference-of-squares
3×expm1-log1p-u associate-*r* associate-*l* fma-udef log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/
1×cbrt-undiv distribute-rgt-in flip3-- frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv unswap-sqr
Counts
3 → 71
Calls
3 calls:
21.0ms
(/ t (- 1.0 z))
1.0ms
(fma 1 (/ y z) (- (/ t (- 1.0 z))))
22.0ms
(* x (fma 1 (/ y z) (- (/ t (- 1.0 z)))))

series239.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ t (- 1.0 z))
76.0ms
(fma 1 (/ y z) (- (/ t (- 1.0 z))))
101.0ms
(* x (fma 1 (/ y z) (- (/ t (- 1.0 z)))))

simplify905.0ms

Counts
80 → 80
Iterations

Useful iterations: done (900.0ms)

IterNodesCost
01431067
1323995
21146873
done5000867

prune644.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
6.5b
(* x (fma (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ (cbrt y) (cbrt z)) (- (/ t (- 1.0 z)))))

rewrite20.0ms

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:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
14.0ms
(* x (fma (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ (cbrt y) (cbrt z)) (- (/ t (- 1.0 z)))))

series1.8s

Counts
4 → 12
Calls
4 calls:
355.0ms
(cbrt y)
807.0ms
(cbrt y)
334.0ms
(cbrt y)
288.0ms
(* x (fma (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ (cbrt y) (cbrt z)) (- (/ t (- 1.0 z)))))

simplify3.2s

Counts
73 → 73
Iterations

Useful iterations: done (3.2s)

IterNodesCost
085970
1192951
2707789
34014584
done5000561

prune810.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.7b
(pow (cbrt z) 3)
3.6b
(* x (- (/ t (- 1.0 z))))
7.5b
(* (/ y (pow (cbrt z) 3)) x)

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt
90×times-frac
77×*-un-lft-identity
65×add-cube-cbrt
61×associate-*l*
49×associate-*r*
29×cbrt-prod
26×unpow-prod-down cube-prod
21×distribute-lft-neg-in distribute-rgt-neg-in
17×add-exp-log
11×add-cbrt-cube
9×pow1
8×unswap-sqr
6×distribute-lft-out-- difference-of-squares
5×prod-exp sqr-pow
4×expm1-log1p-u cube-mult unpow3 associate-/r/ log1p-expm1-u add-log-exp
3×pow-unpow div-exp cbrt-unprod div-inv
2×pow-to-exp flip3-- pow-pow pow1/3 pow-prod-down pow-exp *-commutative flip--
1×cbrt-undiv neg-mul-1 associate-*r/ associate-*l/ distribute-rgt-neg-out distribute-neg-frac rem-cube-cbrt
Counts
4 → 196
Calls
4 calls:
2.0ms
(cbrt z)
8.0ms
(pow (cbrt z) 3)
121.0ms
(* x (- (/ t (- 1.0 z))))
95.0ms
(* (/ y (pow (cbrt z) 3)) x)

series1.2s

Counts
4 → 12
Calls
4 calls:
443.0ms
(cbrt z)
526.0ms
(pow (cbrt z) 3)
135.0ms
(* x (- (/ t (- 1.0 z))))
124.0ms
(* (/ y (pow (cbrt z) 3)) x)

simplify3.3s

Counts
208 → 208
Iterations

Useful iterations: done (3.3s)

IterNodesCost
02941988
18441577
241001476
done50021467

prune1.6s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes587.0ms

Accuracy

0% (1.8b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 1.9b

bsearch0.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02134
12934
23334
33434
done3434

end0.0ms

sample1.6s

Algorithm
intervals
Results
840.0ms10159×body80valid