Details

Time bar (total: 22.1s)

sample26.0ms

Algorithm
intervals
Results
11.0ms331×body80valid

simplify7.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1229
2469
31199
42289
53589
65079
710089
837839
done50019

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
8.6b
(/ (* x (+ (- y z) 1.0)) z)

rewrite162.0ms

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:
106.0ms
(* x (+ (- y z) 1.0))
55.0ms
(/ (* x (+ (- y z) 1.0)) z)

series138.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* x (+ (- y z) 1.0))
80.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify3.2s

Counts
57 → 57
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
098645
1262625
2923531
34857520
done5000520

prune188.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ x z) (+ y 1.0)) x)
3.5b
(* (/ 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:
25.0ms
(- (* (/ x z) (+ y 1.0)) x)
39.0ms
(* (/ x z) (+ y 1.0))

series117.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(- (* (/ x z) (+ y 1.0)) x)
56.0ms
(* (/ x z) (+ y 1.0))

simplify1.8s

Counts
67 → 67
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0133793
1411709
21290654
done5000648

prune240.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ y 1.0))
0.3b
(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))
0.8b
(* (* (/ x z) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (cbrt (+ y 1.0)))
2.8b
(* (/ x z) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))

rewrite494.0ms

Algorithm
rewrite-expression-head
Rules
146×cbrt-div
102×frac-times
73×flip3-+ flip-+
52×associate-*r/
40×*-un-lft-identity
39×associate-*l/
36×add-exp-log
33×add-sqr-sqrt
32×cbrt-prod
25×pow1
22×add-cube-cbrt
21×associate-*l* add-cbrt-cube
18×prod-exp cbrt-unprod
15×associate-*r*
11×pow-prod-down
10×times-frac
9×swap-sqr
8×distribute-lft-out
7×pow1/3
6×unswap-sqr
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus div-inv
Counts
4 → 208
Calls
4 calls:
9.0ms
(cbrt (+ y 1.0))
79.0ms
(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))
306.0ms
(* (* (/ x z) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (cbrt (+ y 1.0)))
74.0ms
(* (/ x z) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))

series724.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (+ y 1.0))
156.0ms
(* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))
92.0ms
(* (* (/ x z) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (cbrt (+ y 1.0)))
329.0ms
(* (/ x z) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))

simplify2.4s

Counts
220 → 220
Iterations

Useful iterations: done (2.4s)

IterNodesCost
03505040
19604725
230894239
done50003985

prune862.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
4.5b
(/ x (/ z (+ (- y z) 1.0)))

rewrite186.0ms

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:
76.0ms
(/ z (+ (- y z) 1.0))
99.0ms
(/ x (/ z (+ (- y z) 1.0)))

series165.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(/ z (+ (- y z) 1.0))
84.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.3s

Counts
149 → 149
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02042436
14492269
215122172
done50012149

prune440.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes148.0ms

Accuracy

72.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.5b

bsearch118.0ms

Steps
ItersRangePoint
8
5.242132222450432e-71
4.217990390014061e-67
5.333921896352304e-71
9
-5.4681645431414027e-104
-5.915824296491567e-109
-1.8941389623393486e-104

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02237
12937
done2937

end0.0ms

sample1.7s

Algorithm
intervals
Results
583.0ms10109×body80valid