Details

Time bar (total: 22.2s)

sample36.0ms

Algorithm
intervals
Results
18.0ms327×body80valid

simplify6.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1229
2469
31199
42289
53589
65079
710089
837839
done50019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite140.0ms

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 expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u 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 → 51
Calls
2 calls:
96.0ms
(* x (+ (- y z) 1.0))
42.0ms
(/ (* x (+ (- y z) 1.0)) z)

series104.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* x (+ (- y z) 1.0))
63.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify3.3s

Counts
57 → 57
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
098645
1262625
2923531
34857520
done5000520

prune200.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
11×add-cube-cbrt
10×times-frac
7×add-exp-log add-cbrt-cube
4×pow1 associate-*r* add-log-exp
3×prod-diff
2×distribute-rgt-in expm1-log1p-u frac-times distribute-lft-in flip3-+ associate-*r/ prod-exp associate--l+ cbrt-unprod flip-+ log1p-expm1-u unswap-sqr
1×cbrt-undiv sub-neg flip3-- fma-neg diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv distribute-lft-out
Counts
2 → 61
Calls
2 calls:
30.0ms
(- (* (/ x z) (+ y 1.0)) x)
34.0ms
(* (/ x z) (+ y 1.0))

series143.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(- (* (/ x z) (+ y 1.0)) x)
70.0ms
(* (/ x z) (+ y 1.0))

simplify1.8s

Counts
67 → 67
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0133793
1411709
21290654
done5000648

prune204.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity associate-*l*
10×times-frac add-log-exp
8×add-exp-log add-cbrt-cube
6×prod-diff
5×pow1 associate-+r+
3×expm1-log1p-u associate-*r* associate-*l/ log1p-expm1-u
2×sub-neg flip3-- diff-log frac-add prod-exp sum-log flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative associate-+r- fma-def flip3-+ fma-neg div-exp pow-prod-down *-commutative flip-+ div-inv
Counts
3 → 75
Calls
3 calls:
76.0ms
(+ (* (/ x z) y) (- (* 1.0 (/ x z)) x))
23.0ms
(- (* 1.0 (/ x z)) x)
24.0ms
(* (/ x z) y)

series212.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(+ (* (/ x z) y) (- (* 1.0 (/ x z)) x))
75.0ms
(- (* 1.0 (/ x z)) x)
49.0ms
(* (/ x z) y)

simplify1.5s

Counts
84 → 84
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01441055
1380931
21241875
done5001781

prune342.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize31.0ms

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))

rewrite56.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 152
Calls
4 calls:
34.0ms
(* (cbrt (/ x z)) (cbrt (/ x z)))
5.0ms
(cbrt (/ x z))
5.0ms
(cbrt (/ x z))
5.0ms
(cbrt (/ x z))

series478.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(* (cbrt (/ x z)) (cbrt (/ x z)))
111.0ms
(cbrt (/ x z))
96.0ms
(cbrt (/ x z))
123.0ms
(cbrt (/ x z))

simplify4.1s

Counts
164 → 164
Iterations

Useful iterations: done (4.1s)

IterNodesCost
01651926
12651797
26721725
313631647
432341562
done50011476

prune841.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes156.0ms

Accuracy

90.9% (0.1b remaining)

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

bsearch83.0ms

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

sample1.5s

Algorithm
intervals
Results
1.2s10151×body80valid