Details

Time bar (total: 38.4s)

sample61.0ms

Algorithm
intervals
Results
31.0ms310×body80valid

simplify153.0ms

Counts
1 → 1
Iterations
IterNodes
done51
851
750
646
542
435
331
220
116
06

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
13.4b
(/ (* x (+ y z)) z)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r/ associate-*r*
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
41.0ms
(* x (+ y z))
35.0ms
(/ (* x (+ y z)) z)

series126.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* x (+ y z))
70.0ms
(/ (* x (+ y z)) z)

simplify3.8s

Counts
52 → 52
Iterations
IterNodes
done5000
2878
1238
085

prune514.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.2b
(/ x (/ z (+ y z)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
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 frac-2neg clear-num add-log-exp
Counts
2 → 123
Calls
2 calls:
49.0ms
(/ z (+ y z))
40.0ms
(/ x (/ z (+ y z)))

series331.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ z (+ y z))
261.0ms
(/ x (/ z (+ y z)))

simplify3.1s

Counts
129 → 129
Iterations
IterNodes
done5001
21639
1477
0187

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
2.2b
(* x (/ (+ y z) z))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
43.0ms
(/ (+ y z) z)
57.0ms
(* x (/ (+ y z) z))

series181.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ (+ y z) z)
109.0ms
(* x (/ (+ y z) z))

simplify9.3s

Counts
74 → 74
Iterations
IterNodes
done5086
33926
2810
1244
097

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ y z))
10.9b
(/ (/ x z) (/ 1 (+ y z)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
585×times-frac
348×*-un-lft-identity
256×add-sqr-sqrt add-cube-cbrt
46×distribute-lft-out
35×div-inv
31×associate-/r/
28×add-exp-log
22×associate-/r*
18×div-exp
16×add-cbrt-cube associate-/l*
15×flip3-+ flip-+
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 326
Calls
2 calls:
23.0ms
(/ 1 (+ y z))
57.0ms
(/ (/ x z) (/ 1 (+ y z)))

series601.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ 1 (+ y z))
539.0ms
(/ (/ x z) (/ 1 (+ y z)))

simplify9.0s

Counts
332 → 332
Iterations
IterNodes
done5000
24002
11473
0479

prune2.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes850.0ms

Accuracy

-10.8% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 2.8b

bsearch931.0ms

Steps
ItersRangePoint
9
2.5839679515350884e-125
6.0721842226424084e-120
2.1503360638006793e-122
10
-1.2230868441084098e-281
-6.068924094261037e-294
-9.060096809735444e-285

simplify12.0ms

Iterations
IterNodes
done25
125
016

end4.0ms

sample3.3s

Algorithm
intervals
Results
1.3s9659×body80valid