Details

Time bar (total: 21.0s)

sample26.0ms

Algorithm
intervals
Results
13.0ms313×body80valid

simplify4.2s

Counts
1 → 1
Iterations
IterNodes
done5001
83211
71893
61154
5639
4260
3105
244
122
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.1b
(/ (* x (+ (- y z) 1.0)) z)

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×associate-/r* times-frac associate-*l*
2×expm1-log1p-u cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u distribute-lft-out add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 51
Calls
2 calls:
72.0ms
(* x (+ (- y z) 1.0))
52.0ms
(/ (* x (+ (- y z) 1.0)) z)

series90.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* x (+ (- y z) 1.0))
53.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify3.2s

Counts
57 → 57
Iterations
IterNodes
done5000
34781
2974
1274
098

prune316.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ x z) 1.0) x)
1.0b
(fma (/ x z) y (- (* (/ x z) 1.0) x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity prod-diff add-cube-cbrt
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u
1×sub-neg flip3-- fma-neg diff-log fma-udef flip--
Counts
2 → 28
Calls
2 calls:
9.0ms
(- (* (/ x z) 1.0) x)
0.0ms
(fma (/ x z) y (- (* (/ x z) 1.0) x))

series97.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- (* (/ x z) 1.0) x)
56.0ms
(fma (/ x z) y (- (* (/ x z) 1.0) x))

simplify3.4s

Counts
34 → 34
Iterations
IterNodes
done5000
44884
31281
2403
1158
066

prune214.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
21×prod-diff
15×times-frac
10×add-cbrt-cube add-exp-log
7×fma-neg
5×pow1 div-inv add-log-exp
4×associate-*r* associate-*r/
3×expm1-log1p-u associate-/r* associate-*l* log1p-expm1-u
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/
1×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in flip3-- diff-log pow-prod-down *-commutative flip-- distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 94
Calls
3 calls:
34.0ms
(- (/ (* x (+ y 1.0)) z) x)
27.0ms
(* x (+ y 1.0))
11.0ms
(/ (* x (+ y 1.0)) z)

series191.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(- (/ (* x (+ y 1.0)) z) x)
61.0ms
(* x (+ y 1.0))
70.0ms
(/ (* x (+ y 1.0)) z)

simplify1.7s

Counts
103 → 103
Iterations
IterNodes
done5001
21185
1396
0149

prune466.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize84.0ms

Local error

Found 4 expressions with local error:

3.1b
(/ x (/ z (+ y 1.0)))
5.6b
(cbrt (/ x (/ z (+ y 1.0))))
5.6b
(cbrt (/ x (/ z (+ y 1.0))))
5.6b
(cbrt (/ x (/ z (+ y 1.0))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
372×times-frac
262×*-un-lft-identity
184×add-sqr-sqrt add-cube-cbrt
177×cbrt-prod
39×distribute-lft-out
30×associate-/r/
18×associate-/r*
17×div-inv
13×flip3-+ flip-+
9×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×cbrt-undiv cbrt-div pow1/3 div-exp associate-/l*
1×clear-num frac-2neg
Counts
4 → 302
Calls
4 calls:
17.0ms
(/ x (/ z (+ y 1.0)))
10.0ms
(cbrt (/ x (/ z (+ y 1.0))))
15.0ms
(cbrt (/ x (/ z (+ y 1.0))))
16.0ms
(cbrt (/ x (/ z (+ y 1.0))))

series925.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ x (/ z (+ y 1.0)))
291.0ms
(cbrt (/ x (/ z (+ y 1.0))))
303.0ms
(cbrt (/ x (/ z (+ y 1.0))))
260.0ms
(cbrt (/ x (/ z (+ y 1.0))))

simplify2.3s

Counts
314 → 314
Iterations
IterNodes
done5001
21943
1703
0336

prune2.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes210.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
08

end0.0ms

sample996.0ms

Algorithm
intervals
Results
568.0ms10150×body80valid