Details

Time bar (total: 22.8s)

sample40.0ms

Algorithm
intervals
Results
16.0ms327×body80valid

simplify5.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1229
2449
31139
41949
52919
63859
77959
831279
done50009

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
10.9b
(/ (* x (+ (- y z) 1.0)) z)

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
131.0ms
(* x (+ (- y z) 1.0))
50.0ms
(/ (* x (+ (- y z) 1.0)) z)

series102.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* x (+ (- y z) 1.0))
54.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify2.9s

Counts
53 → 53
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
094609
1254593
2882499
34763485
done5002485

prune119.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ x z) (+ 1.0 y)) x)
2.7b
(* (/ x z) (+ 1.0 y))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
4×pow1 associate-*r* add-log-exp
2×distribute-rgt-in frac-times distribute-lft-in flip3-+ associate-*r/ prod-exp associate--l+ cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv distribute-lft-out
Counts
2 → 53
Calls
2 calls:
24.0ms
(- (* (/ x z) (+ 1.0 y)) x)
32.0ms
(* (/ x z) (+ 1.0 y))

series106.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(- (* (/ x z) (+ 1.0 y)) x)
51.0ms
(* (/ x z) (+ 1.0 y))

simplify4.0s

Counts
59 → 59
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
0114680
1368628
21158582
34795576
done5000576

prune165.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube add-log-exp
4×pow1
3×associate-*r* associate-*l/
2×associate-+r+ frac-add prod-exp sum-log cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative associate-+r- sub-neg flip3-- flip3-+ diff-log div-exp pow-prod-down *-commutative flip-- flip-+ div-inv
Counts
2 → 49
Calls
2 calls:
45.0ms
(+ (* (/ x z) 1.0) (- (* (/ x z) y) x))
24.0ms
(* (/ x z) y)

series100.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(+ (* (/ x z) 1.0) (- (* (/ x z) y) x))
37.0ms
(* (/ x z) y)

simplify3.5s

Counts
55 → 55
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
0116706
1325598
21118552
34828534
done5002534

prune186.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x z)) (cbrt (/ x z)))
8.3b
(cbrt (/ x z))
8.3b
(cbrt (/ x z))
8.3b
(cbrt (/ x z))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
29.0ms
(* (cbrt (/ x z)) (cbrt (/ x z)))
2.0ms
(cbrt (/ x z))
2.0ms
(cbrt (/ x z))
2.0ms
(cbrt (/ x z))

series411.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (cbrt (/ x z)) (cbrt (/ x z)))
87.0ms
(cbrt (/ x z))
102.0ms
(cbrt (/ x z))
103.0ms
(cbrt (/ x z))

simplify3.4s

Counts
156 → 156
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01611876
12581747
26641675
313281601
431491520
done50001434

prune722.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes127.0ms

Accuracy

90.9% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.6b

bsearch61.0ms

Steps
ItersRangePoint
8
2.1457254324850014e-108
6.895512076950692e-106
4.5945027814798725e-108
7
-2.815656994129633e-80
-2.0739828906523894e-82
-2.0208923455408954e-80

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01943
12731
done2731

end0.0ms

sample1.1s

Algorithm
intervals
Results
516.0ms10151×body80valid