Details

Time bar (total: 7.2s)

sample27.0ms

Algorithm
intervals
Results
11.0ms299×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3447
4737
51027
62407
76517
819267
done50007

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.1b
(/ (* x (- y z)) y)

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
35.0ms
(* x (- y z))
29.0ms
(/ (* x (- y z)) y)

series122.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* x (- y z))
68.0ms
(/ (* x (- y z)) y)

simplify766.0ms

Counts
77 → 77
Iterations

Useful iterations: done (764.0ms)

IterNodesCost
01401001
1351820
21627674
done5002646

prune142.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
1.6b
(/ x (/ y (- y z)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
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:
17.0ms
(/ y (- y z))
26.0ms
(/ x (/ y (- y z)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ y (- y z))
77.0ms
(/ x (/ y (- y z)))

simplify1.1s

Counts
149 → 149
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02222078
15651961
227751871
done50011867

prune422.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.0b
(* x (/ (- y z) y))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 80
Calls
2 calls:
25.0ms
(/ (- y z) y)
44.0ms
(* x (/ (- y z) y))

series102.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (- y z) y)
67.0ms
(* x (/ (- y z) y))

simplify693.0ms

Counts
86 → 86
Iterations

Useful iterations: done (691.0ms)

IterNodesCost
0115841
1288804
21287739
done5000735

prune173.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

6.2b
(/ (* x z) y)

rewrite10.0ms

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:
10.0ms
(/ (* x z) y)

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(/ (* x z) y)

simplify886.0ms

Counts
26 → 26
Iterations

Useful iterations: done (885.0ms)

IterNodesCost
050198
1120191
2633167
done5001161

prune52.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes74.0ms

Accuracy

10.8% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.9b

bsearch66.0ms

Steps
ItersRangePoint
9
9.096741835583034e-127
2.863172208602242e-119
2.3679111051945716e-120
8
6.290407473785e-285
1.077940716336667e-281
4.014228494605548e-282

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01931
12431
done2431

end0.0ms

sample937.0ms

Algorithm
intervals
Results
428.0ms9569×body80valid