Details

Time bar (total: 5.3s)

sample112.0ms

Algorithm
intervals
Results
54.0ms109×body1280valid
22.0ms77×body640valid
13.0ms281×body80nan
7.0ms40×body320valid
2.0ms20×body160valid
0.0ms10×body80valid

simplify194.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (192.0ms)

IterNodesCost
0488912
1488912

prune4.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 57.8b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
6.1b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite18.0ms

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×flip3-- div-exp rem-log-exp flip-- div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 82
Calls
2 calls:
7.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(/ (+ 1.0 x) (- 1.0 x))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify50.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050061111

prune152.0ms

Filtered
58 candidates to 88 candidates (-51.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New81788
Fresh000
Picked101
Done000
Total82789

Merged error: 0.2b

Counts
89 → 7

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x (* x 2.0)) (+ (log 1.0) (* 2.0 (- x (* (/ x 1.0) (/ x 1.0))))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
5×add-log-exp
3×sum-log
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
9.0ms
(+ (* x (* x 2.0)) (+ (log 1.0) (* 2.0 (- x (* (/ x 1.0) (/ x 1.0))))))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(+ (* x (* x 2.0)) (+ (log 1.0) (* 2.0 (- x (* (/ x 1.0) (/ x 1.0))))))

simplify46.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04963335
14963335

prune55.0ms

Filtered
12 candidates to 16 candidates (-33.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New14216
Fresh066
Picked011
Done000
Total14923

Merged error: 0.2b

Counts
23 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x))))) (cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x))))))
0.6b
(cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x)))))
0.6b
(cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x)))))
0.6b
(cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x)))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
10.0ms
(* (cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x))))) (cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x))))))
3.0ms
(cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x)))))
3.0ms
(cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x)))))
3.0ms
(cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x)))))

series43.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x))))) (cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x))))))
12.0ms
(cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x)))))
10.0ms
(cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x)))))
10.0ms
(cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050233545

prune486.0ms

Filtered
80 candidates to 99 candidates (-23.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New97299
Fresh077
Picked101
Done011
Total9810108

Merged error: 0.2b

Counts
108 → 10

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(pow (cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x))))) 6)
0.6b
(cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x)))))
0.6b
(cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x)))))
31.6b
(pow (pow (cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x))))) 6) 1/3)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×unpow-prod-down
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×cbrt-prod
7×add-exp-log
6×pow-unpow
5×pow1 pow-exp
4×cbrt-div add-cbrt-cube add-log-exp
3×pow-to-exp pow-pow pow1/3 sqr-pow
2×flip3-+ flip-+
1×unpow1/3
Counts
4 → 74
Calls
4 calls:
5.0ms
(pow (cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x))))) 6)
3.0ms
(cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x)))))
3.0ms
(cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x)))))
6.0ms
(pow (pow (cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x))))) 6) 1/3)

series77.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(pow (cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x))))) 6)
10.0ms
(cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x)))))
10.0ms
(cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x)))))
32.0ms
(pow (pow (cbrt (+ (log 1.0) (* 2.0 (+ (- x (* (/ x 1.0) (/ x 1.0))) (* x x))))) 6) 1/3)

simplify49.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
051512613

prune286.0ms

Filtered
60 candidates to 86 candidates (-43.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New84286
Fresh178
Picked101
Done011
Total861096

Merged error: 0.2b

Counts
96 → 10

regimes196.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04524
14524

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.7s3464×body1280valid
714.0ms2522×body640valid
301.0ms8061×body80nan
207.0ms1183×body320valid
66.0ms607×body160valid
13.0ms224×body80valid

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