Details

Time bar (total: 11.9s)

sample94.0ms

Algorithm
intervals
Results
48.0ms108×body1280valid
21.0ms87×body640valid
7.0ms259×body80nan
5.0ms38×body320valid
2.0ms18×body160valid
0.0ms5×body80valid

simplify78.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0912
11812
22412
33912
46012
58612
610612
711712
811912
done11912

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.6b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite19.0ms

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×associate-/r/ add-cbrt-cube associate-/l*
3×pow1
2×expm1-log1p-u flip3-- div-exp rem-log-exp flip-- log1p-expm1-u div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 86
Calls
2 calls:
11.0ms
(/ (+ 1.0 x) (- 1.0 x))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (+ 1.0 x) (- 1.0 x))
114.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.1s

Counts
92 → 92
Iterations

Useful iterations: 3 (513.0ms)

IterNodesCost
01461310
13321243
28661182
325691136
done50011136

prune200.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (- (/ (pow x 2) (pow 1.0 2))) 2.0 (fma 2.0 (fma x x x) (log 1.0)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (- (/ (pow x 2) (pow 1.0 2))) 2.0 (fma 2.0 (fma x x x) (log 1.0)))

series331.0ms

Counts
1 → 3
Calls
1 calls:
331.0ms
(fma (- (/ (pow x 2) (pow 1.0 2))) 2.0 (fma 2.0 (fma x x x) (log 1.0)))

simplify1.0s

Counts
13 → 13
Iterations

Useful iterations: 4 (201.0ms)

IterNodesCost
024256
145253
2121217
3353217
42096197
done5001197

prune52.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (fma 2.0 (fma (/ x 1.0) (/ (- x) 1.0) (fma x x x)) (log 1.0))) (cbrt (fma 2.0 (fma (/ x 1.0) (/ (- x) 1.0) (fma x x x)) (log 1.0))))
0.6b
(cbrt (fma 2.0 (fma (/ x 1.0) (/ (- x) 1.0) (fma x x x)) (log 1.0)))
0.6b
(cbrt (fma 2.0 (fma (/ x 1.0) (/ (- x) 1.0) (fma x x x)) (log 1.0)))
0.6b
(cbrt (fma 2.0 (fma (/ x 1.0) (/ (- x) 1.0) (fma x x x)) (log 1.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (fma 2.0 (fma (/ x 1.0) (/ (- x) 1.0) (fma x x x)) (log 1.0))) (cbrt (fma 2.0 (fma (/ x 1.0) (/ (- x) 1.0) (fma x x x)) (log 1.0))))
0.0ms
(cbrt (fma 2.0 (fma (/ x 1.0) (/ (- x) 1.0) (fma x x x)) (log 1.0)))
0.0ms
(cbrt (fma 2.0 (fma (/ x 1.0) (/ (- x) 1.0) (fma x x x)) (log 1.0)))
1.0ms
(cbrt (fma 2.0 (fma (/ x 1.0) (/ (- x) 1.0) (fma x x x)) (log 1.0)))

series988.0ms

Counts
4 → 12
Calls
4 calls:
277.0ms
(* (cbrt (fma 2.0 (fma (/ x 1.0) (/ (- x) 1.0) (fma x x x)) (log 1.0))) (cbrt (fma 2.0 (fma (/ x 1.0) (/ (- x) 1.0) (fma x x x)) (log 1.0))))
233.0ms
(cbrt (fma 2.0 (fma (/ x 1.0) (/ (- x) 1.0) (fma x x x)) (log 1.0)))
239.0ms
(cbrt (fma 2.0 (fma (/ x 1.0) (/ (- x) 1.0) (fma x x x)) (log 1.0)))
239.0ms
(cbrt (fma 2.0 (fma (/ x 1.0) (/ (- x) 1.0) (fma x x x)) (log 1.0)))

simplify484.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (124.0ms)

IterNodesCost
01673474
14003265
213893000
done50003000

prune385.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

2.8b
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))
2.8b
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))
15.8b
(/ (* (pow (log 1.0) 2) (exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))) (pow x 2))
15.8b
(/ (* (pow (log 1.0) 2) (exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))) (* (pow x 2) (pow 4.0 2)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
103×add-exp-log
75×prod-exp
52×div-exp
41×pow-to-exp pow-exp
36×exp-sum
21×add-cbrt-cube
18×distribute-rgt-in distribute-lft-in
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-diff
12×log-prod associate--l+
9×times-frac associate-/r*
8×pow1 add-log-exp
6×cbrt-undiv unpow-prod-down
5×cbrt-unprod
4×expm1-log1p-u sub-neg log-pow log1p-expm1-u
2×exp-prod exp-to-pow frac-2neg clear-num div-inv rem-exp-log associate-/l* unpow2 sqr-pow
Counts
4 → 162
Calls
4 calls:
5.0ms
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))
5.0ms
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))
11.0ms
(/ (* (pow (log 1.0) 2) (exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))) (pow x 2))
16.0ms
(/ (* (pow (log 1.0) 2) (exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))) (* (pow x 2) (pow 4.0 2)))

series2.0s

Counts
4 → 12
Calls
4 calls:
371.0ms
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))
364.0ms
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))
595.0ms
(/ (* (pow (log 1.0) 2) (exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))) (pow x 2))
655.0ms
(/ (* (pow (log 1.0) 2) (exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))) (* (pow x 2) (pow 4.0 2)))

simplify1.0s

Counts
174 → 174
Iterations

Useful iterations: 2 (449.0ms)

IterNodesCost
02394364
15674030
223252946
done50002946

prune878.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes109.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01422
11722
done1722

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.5s3365×body1280valid
631.0ms2486×body640valid
228.0ms8082×body80nan
187.0ms1264×body320valid
61.0ms682×body160valid
9.0ms203×body80valid