Details

Time bar (total: 15.0s)

sample179.0ms

Algorithm
intervals
Results
82.0ms112×body1280valid
32.0ms78×body640valid
24.0ms39×body320valid
14.0ms245×body80nan
3.0ms22×body160valid
0.0ms5×body80valid

simplify138.0ms

Counts
1 → 1
Iterations
IterNodes
done149
8149
7145
6122
596
465
340
225
118
09

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x 1.0) (- 1.0 x))
6.3b
(log (/ (+ x 1.0) (- 1.0 x)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/r*
4×add-cbrt-cube associate-/r/ associate-/l*
3×pow1
2×expm1-log1p-u flip3-- div-exp rem-log-exp log1p-expm1-u div-inv flip-- add-log-exp associate-/l/
1×cbrt-undiv log-div clear-num frac-2neg flip3-+ log-pow flip-+
Counts
2 → 86
Calls
2 calls:
43.0ms
(/ (+ x 1.0) (- 1.0 x))
15.0ms
(log (/ (+ x 1.0) (- 1.0 x)))

series220.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (+ x 1.0) (- 1.0 x))
179.0ms
(log (/ (+ x 1.0) (- 1.0 x)))

simplify967.0ms

Counts
92 → 92
Iterations
IterNodes
done5002
21364
1350
0151

prune386.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune18.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1.0 x))
0.0b
(* (/ 1 (- 1.0 x)) (+ 1.0 x))
6.3b
(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
26×add-exp-log
23×add-cube-cbrt
21×associate-*l*
10×add-cbrt-cube
9×pow1
8×prod-exp
7×distribute-lft-out-- difference-of-squares
6×div-exp
5×log-div associate-/r* rem-log-exp
4×frac-times flip3-+ associate-*r* associate-*r/ associate-/r/ flip-+
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv flip3-- pow-prod-down associate-*l/ log-pow cbrt-unprod div-inv flip--
1×distribute-rgt-in log-prod clear-num frac-2neg distribute-lft-in *-commutative pow-flip distribute-lft-out inv-pow
Counts
3 → 117
Calls
3 calls:
24.0ms
(/ 1 (- 1.0 x))
72.0ms
(* (/ 1 (- 1.0 x)) (+ 1.0 x))
30.0ms
(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))

series236.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ 1 (- 1.0 x))
47.0ms
(* (/ 1 (- 1.0 x)) (+ 1.0 x))
159.0ms
(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))

simplify2.4s

Counts
126 → 126
Iterations
IterNodes
done5000
24578
1582
0182

prune430.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (log1p (/ 1 (- 1.0 x))))
0.0b
(/ 1 (- 1.0 x))
0.0b
(* (expm1 (log1p (/ 1 (- 1.0 x)))) (+ 1.0 x))
60.1b
(log (* (expm1 (log1p (/ 1 (- 1.0 x)))) (+ 1.0 x)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt *-un-lft-identity
16×add-cube-cbrt
15×times-frac
13×add-exp-log
10×pow1
8×add-cbrt-cube
5×associate-/r*
4×expm1-log1p-u associate-*r* associate-*r/ log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
3×associate-*l* associate-/l*
2×log-div flip3-+ div-exp rem-log-exp pow-prod-down prod-exp associate-/r/ log-pow flip-+
1×distribute-rgt-in cbrt-undiv rec-exp log-prod expm1-log1p clear-num frac-2neg distribute-lft-in flip3-- 1-exp *-commutative cbrt-unprod div-inv pow-flip flip-- distribute-lft-out inv-pow expm1-udef unswap-sqr
Counts
4 → 95
Calls
4 calls:
0.0ms
(expm1 (log1p (/ 1 (- 1.0 x))))
10.0ms
(/ 1 (- 1.0 x))
17.0ms
(* (expm1 (log1p (/ 1 (- 1.0 x)))) (+ 1.0 x))
19.0ms
(log (* (expm1 (log1p (/ 1 (- 1.0 x)))) (+ 1.0 x)))

series1.0s

Counts
4 → 12
Calls
4 calls:
172.0ms
(expm1 (log1p (/ 1 (- 1.0 x))))
37.0ms
(/ 1 (- 1.0 x))
231.0ms
(* (expm1 (log1p (/ 1 (- 1.0 x)))) (+ 1.0 x))
583.0ms
(log (* (expm1 (log1p (/ 1 (- 1.0 x)))) (+ 1.0 x)))

simplify1.9s

Counts
107 → 107
Iterations
IterNodes
done5001
22011
1427
0179

prune366.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes42.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
011

end0.0ms

sample6.3s

Algorithm
intervals
Results
3.0s3304×body1280valid
1.1s8043×body80nan
1.1s2532×body640valid
396.0ms1292×body320valid
144.0ms658×body160valid
15.0ms214×body80valid