Details

Time bar (total: 18.4s)

sample47.0ms

Algorithm
intervals
Results
14.0ms286×body80valid
10.0ms257×body80nan

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01112
12611
25711
312411
435511
5105611
6259611
7483411
done500011

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- 1.0 z) (log z))
0.2b
(* y (+ (- 1.0 z) (log z)))

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
16×add-sqr-sqrt
12×add-cube-cbrt
11×associate-+l+
9×prod-diff
8×pow1 distribute-lft-out
7×associate-*r*
5×fma-def distribute-lft-out-- add-log-exp
4×add-exp-log log-pow add-cbrt-cube
3×associate-+r+ log-prod associate-*l*
2×expm1-log1p-u flip3-+ associate-*r/ sum-log flip-+ log1p-expm1-u
1×+-commutative distribute-rgt-in associate-+l- sub-neg distribute-lft-in diff-log pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
2 → 66
Calls
2 calls:
49.0ms
(+ (- 1.0 z) (log z))
160.0ms
(* y (+ (- 1.0 z) (log z)))

series338.0ms

Counts
2 → 6
Calls
2 calls:
223.0ms
(+ (- 1.0 z) (log z))
114.0ms
(* y (+ (- 1.0 z) (log z)))

simplify909.0ms

Counts
72 → 72
Iterations

Useful iterations: done (907.0ms)

IterNodesCost
0110693
1304636
21271537
done5001534

prune258.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 z) y)
0.1b
(+ (* (- 1.0 z) y) (* y (log z)))
0.3b
(* y (log z))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity
12×log-prod
11×add-cube-cbrt
8×pow1 associate-*l*
7×add-exp-log associate-*r* add-cbrt-cube
6×distribute-rgt-in associate-+r+ distribute-lft-in
5×add-log-exp
3×expm1-log1p-u log1p-expm1-u
2×pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-- fma-def flip3-+ sum-log log-pow flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 71
Calls
3 calls:
43.0ms
(* (- 1.0 z) y)
24.0ms
(+ (* (- 1.0 z) y) (* y (log z)))
10.0ms
(* y (log z))

series224.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* (- 1.0 z) y)
132.0ms
(+ (* (- 1.0 z) y) (* y (log z)))
46.0ms
(* y (log z))

simplify1.6s

Counts
80 → 80
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0135752
1347675
21549615
done5000596

prune307.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(* y (fma 2 (log (cbrt z)) (- 1.0 z)))
0.2b
(* y (log (cbrt z)))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×cbrt-prod log-prod
9×pow1
8×add-exp-log associate-*r* add-cbrt-cube
7×distribute-rgt-in distribute-lft-in
6×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 82
Calls
4 calls:
23.0ms
(* y (fma 2 (log (cbrt z)) (- 1.0 z)))
20.0ms
(* y (log (cbrt z)))
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series948.0ms

Counts
4 → 12
Calls
4 calls:
249.0ms
(* y (fma 2 (log (cbrt z)) (- 1.0 z)))
138.0ms
(* y (log (cbrt z)))
280.0ms
(cbrt z)
281.0ms
(cbrt z)

simplify2.8s

Counts
94 → 94
Iterations

Useful iterations: done (2.8s)

IterNodesCost
0128829
1271798
2861699
34421664
done5000662

prune438.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (pow z 2/3))
0.6b
(cbrt z)
0.6b
(cbrt z)
5.9b
(pow z 2/3)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow pow1/3
2×sqr-pow
1×pow-to-exp pow-pow pow-exp
Counts
4 → 62
Calls
4 calls:
2.0ms
(cbrt (pow z 2/3))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
3.0ms
(pow z 2/3)

series1.1s

Counts
4 → 12
Calls
4 calls:
275.0ms
(cbrt (pow z 2/3))
282.0ms
(cbrt z)
298.0ms
(cbrt z)
243.0ms
(pow z 2/3)

simplify1.9s

Counts
74 → 74
Iterations

Useful iterations: done (1.9s)

IterNodesCost
081415
1173369
2572337
32432323
done5002319

prune573.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes231.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02126
12726
done2726

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.2s9333×body80nan
861.0ms9228×body80valid