Details

Time bar (total: 16.0s)

sample35.0ms

Algorithm
intervals
Results
15.0ms322×body80valid

simplify204.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
4.2b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite554.0ms

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:
97.0ms
(- (/ y z) (/ t (- 1.0 z)))
15.0ms
(/ t (- 1.0 z))
262.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series206.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(- (/ y z) (/ t (- 1.0 z)))
62.0ms
(/ t (- 1.0 z))
85.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify2.5s

Counts
936 → 936
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0100949986
1222244988
done500139914

prune3.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.2b
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
4.2b
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

rewrite41.0ms

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:
22.0ms
(/ t (- 1.0 z))
1.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
15.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

series253.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ t (- 1.0 z))
79.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
118.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

simplify770.0ms

Counts
80 → 80
Iterations

Useful iterations: done (766.0ms)

IterNodesCost
01441067
13241038
21096873
done5001859

prune361.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
4.2b
(* x (- (/ y z) (* (/ (* (cbrt t) (cbrt t)) (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ (cbrt t) (cbrt (- 1.0 z))))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
26×prod-diff
25×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
18×times-frac
15×distribute-rgt-in distribute-lft-in
9×cbrt-prod
6×pow1 add-exp-log associate-*r/ add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* associate-*l* frac-sub
2×sub-neg div-inv
1×frac-times flip3-- pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
4 → 94
Calls
4 calls:
3.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
66.0ms
(* x (- (/ y z) (* (/ (* (cbrt t) (cbrt t)) (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ (cbrt t) (cbrt (- 1.0 z))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
310.0ms
(cbrt t)
255.0ms
(cbrt t)
342.0ms
(cbrt t)
106.0ms
(* x (- (/ y z) (* (/ (* (cbrt t) (cbrt t)) (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ (cbrt t) (cbrt (- 1.0 z))))))

simplify1.5s

Counts
106 → 106
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01773539
14213510
217551874
done50011375

prune486.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.2b
(* (- (/ (/ y (cbrt z)) (* (cbrt z) (cbrt z))) (/ t (- 1.0 z))) x)

rewrite563.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
14×times-frac
12×associate-*l*
11×cbrt-prod *-un-lft-identity
9×add-cube-cbrt
8×difference-of-squares
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/
1×flip3-- pow-prod-down prod-exp *-commutative frac-sub flip-- cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
4 → 71
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
558.0ms
(* (- (/ (/ y (cbrt z)) (* (cbrt z) (cbrt z))) (/ t (- 1.0 z))) x)

series944.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(cbrt z)
276.0ms
(cbrt z)
319.0ms
(cbrt z)
79.0ms
(* (- (/ (/ y (cbrt z)) (* (cbrt z) (cbrt z))) (/ t (- 1.0 z))) x)

simplify651.0ms

Counts
83 → 83
Iterations

Useful iterations: done (649.0ms)

IterNodesCost
0116976
1258959
2961759
done5000661

prune330.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes420.0ms

Accuracy

91.4% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 4.8b

bsearch1.0ms

simplify16.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
038118
151118
254118
355118
done55118

end0.0ms

sample1.3s

Algorithm
intervals
Results
672.0ms10169×body80valid