Details

Time bar (total: 25.8s)

sample36.0ms

Algorithm
intervals
Results
14.0ms314×body80valid

simplify5.6s

Counts
1 → 1
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
089
1169
2427
3995
43865
517055
done50015

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize18.0ms

Local error

Found 1 expressions with local error:

6.5b
(* (/ y z) x)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
30.0ms
(* (/ y z) x)

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* (/ y z) x)

simplify6.3s

Counts
37 → 37
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
070273
1155268
2427236
31211236
43623236
done5000236

prune163.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

4.5b
(/ (* x y) z)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
21.0ms
(/ (* x y) z)

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(/ (* x y) z)

simplify4.4s

Counts
26 → 26
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
050198
1112191
2390161
31765161
done5000161

prune111.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (/ z (* x y)))
4.3b
(/ z (* x y))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
28×add-exp-log
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-cbrt-cube
14×div-exp
8×associate-/r*
7×cbrt-undiv
6×div-inv associate-/l*
4×prod-exp
3×pow1 rec-exp 1-exp
2×expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 81
Calls
2 calls:
32.0ms
(/ 1 (/ z (* x y)))
16.0ms
(/ z (* x y))

series71.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ 1 (/ z (* x y)))
27.0ms
(/ z (* x y))

simplify3.8s

Counts
87 → 87
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
0122894
1261763
2661631
33116613
done5001613

prune210.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (* (cbrt 1) (cbrt 1)) (/ z (* x y)))
4.3b
(/ z (* x y))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
22×add-cbrt-cube
16×times-frac
12×cbrt-undiv div-exp
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-/r*
6×prod-exp cbrt-unprod
4×div-inv associate-/l*
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 63
Calls
2 calls:
42.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ z (* x y)))
16.0ms
(/ z (* x y))

series77.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ z (* x y)))
27.0ms
(/ z (* x y))

simplify3.0s

Counts
69 → 69
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
0104843
1254633
2608463
32728457
done5000457

prune238.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes218.0ms

Accuracy

-2% (5.8b remaining)

Error of 5.8b against oracle of 0.0b and baseline of 5.7b

bsearch130.0ms

Steps
ItersRangePoint
7
9.630760063949999e+83
5.322525334989088e+85
1.6763009083488564e+85
6
0.004783457833171893
0.0231227070787974
0.02009436619436608
9
-1.1485848203976569e-172
-3.82500538180254e-180
-9.622816168615242e-179
1
-1.736185745049513e-111
-1.6261027315487358e-111
-1.699374283935707e-111

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02547
13141
done3141

end0.0ms

sample1.2s

Algorithm
intervals
Results
499.0ms9632×body80valid