Details

Time bar (total: 15.3s)

sample34.0ms

Algorithm
intervals
Results
12.0ms323×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3447
4737
51027
62407
76517
819267
done50007

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.4b
(/ (* x (- y z)) y)

rewrite85.0ms

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:
46.0ms
(* x (- y z))
34.0ms
(/ (* x (- y z)) y)

series160.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(* x (- y z))
89.0ms
(/ (* x (- y z)) y)

simplify1.0s

Counts
77 → 77
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01401001
1351820
21627674
done5002646

prune286.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.9b
(/ x (/ y (- y z)))

rewrite64.0ms

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))
35.0ms
(/ x (/ y (- y z)))

series154.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(/ y (- y z))
80.0ms
(/ x (/ y (- y z)))

simplify1.4s

Counts
149 → 149
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02222078
15651961
227751871
done50011867

prune794.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
3.4b
(* x (/ (- y z) y))

rewrite87.0ms

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:
30.0ms
(/ (- y z) y)
52.0ms
(* x (/ (- y z) y))

series145.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- y z) y)
95.0ms
(* x (/ (- y z) y))

simplify1.0s

Counts
86 → 86
Iterations

Useful iterations: done (997.0ms)

IterNodesCost
0115841
1288804
21287739
done5000735

prune428.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- y z) (/ 1 y))
3.4b
(* x (* (- y z) (/ 1 y)))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
20×add-sqr-sqrt
16×add-cbrt-cube
14×*-un-lft-identity associate-*r*
13×prod-exp
11×add-cube-cbrt times-frac
9×pow1
8×associate-*r/ associate-*l*
7×cbrt-unprod
4×frac-times flip3-- div-exp pow-prod-down associate-*l/ flip--
3×unswap-sqr
2×cbrt-undiv expm1-log1p-u rec-exp 1-exp un-div-inv *-commutative log1p-expm1-u add-log-exp
1×div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 74
Calls
2 calls:
64.0ms
(* (- y z) (/ 1 y))
89.0ms
(* x (* (- y z) (/ 1 y)))

series152.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* (- y z) (/ 1 y))
88.0ms
(* x (* (- y z) (/ 1 y)))

simplify5.3s

Counts
80 → 80
Iterations

Useful iterations: done (5.3s)

IterNodesCost
0131881
1347793
22510600
done5000588

prune440.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes269.0ms

Accuracy

17.1% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 3.1b

bsearch92.0ms

Steps
ItersRangePoint
8
6.194200398401266e-275
2.408977720957887e-270
1.7856545451239248e-270
7
-1.6231300753246685e+120
-9.340199616080702e+118
-1.153708350718751e+119

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01529
11923
done1923

end0.0ms

sample1.5s

Algorithm
intervals
Results
926.0ms9516×body80valid