Details

Time bar (total: 18.3s)

sample32.0ms

Algorithm
intervals
Results
12.0ms333×body80valid

simplify6.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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: 9.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
8.8b
(/ (* x (+ (- y z) 1.0)) z)

rewrite147.0ms

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:
90.0ms
(* x (+ (- y z) 1.0))
55.0ms
(/ (* x (+ (- y z) 1.0)) z)

series103.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (+ (- y z) 1.0))
63.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify3.4s

Counts
57 → 57
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
098645
1262625
2923531
34857520
done5000520

prune182.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ x z) (+ y 1.0)) x)
3.5b
(* (/ x z) (+ y 1.0))

rewrite75.0ms

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:
40.0ms
(- (* (/ x z) (+ y 1.0)) x)
30.0ms
(* (/ x z) (+ y 1.0))

series166.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(- (* (/ x z) (+ y 1.0)) x)
79.0ms
(* (/ x z) (+ y 1.0))

simplify1.9s

Counts
67 → 67
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0133793
1411709
21290654
done5000648

prune271.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (cbrt (/ x z)) (cbrt (/ x z))) (* (cbrt (/ x z)) (+ y 1.0)))
10.8b
(cbrt (/ x z))
10.8b
(cbrt (/ x z))
10.8b
(cbrt (/ x z))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod cbrt-div
29×frac-times
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×associate-*r/
16×pow1 add-exp-log
13×associate-*l/
10×add-cbrt-cube
8×flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+
4×distribute-rgt-in expm1-log1p-u distribute-lft-in log1p-expm1-u add-log-exp
3×pow1/3 div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 123
Calls
4 calls:
136.0ms
(* (* (cbrt (/ x z)) (cbrt (/ x z))) (* (cbrt (/ x z)) (+ y 1.0)))
3.0ms
(cbrt (/ x z))
3.0ms
(cbrt (/ x z))
3.0ms
(cbrt (/ x z))

series346.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (* (cbrt (/ x z)) (cbrt (/ x z))) (* (cbrt (/ x z)) (+ y 1.0)))
115.0ms
(cbrt (/ x z))
86.0ms
(cbrt (/ x z))
87.0ms
(cbrt (/ x z))

simplify1.3s

Counts
135 → 135
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01802045
14891979
217591586
done50001419

prune505.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.9b
(/ x (/ z (+ (- y z) 1.0)))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
52.0ms
(/ z (+ (- y z) 1.0))
70.0ms
(/ x (/ z (+ (- y z) 1.0)))

series161.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(/ z (+ (- y z) 1.0))
86.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.4s

Counts
149 → 149
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02042436
14492269
215122172
done50012149

prune423.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01431
11631
done1631

end0.0ms

sample669.0ms

Algorithm
intervals
Results
301.0ms10040×body80valid