Details

Time bar (total: 10.0m)

sample111.0ms

Algorithm
intervals
Results
60.0ms119×body1280valid
21.0ms74×body640valid
9.0ms262×body80nan
7.0ms39×body320valid
2.0ms16×body160valid
0.0ms8×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0186
1256
2406
3616
4886
51046
61136
71136

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.5b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
4.3b
(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)))

series160.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (+ 1.0 x) (- 1.0 x))
127.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify121.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0318660
11025624
24261602
35001602

prune166.0ms

Filtered
88 candidates to 58 candidates (65.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New84488
Fresh000
Picked101
Done000
Total85489

Merged error: 0.1b

Counts
89 → 4

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
71×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
37×add-cube-cbrt *-un-lft-identity
25×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
7×add-cbrt-cube
6×pow-to-exp pow-exp add-log-exp
5×associate-+r+ associate-*r/
4×pow1 frac-add
3×log-prod flip3-+ associate-*l* associate--l+ flip-+
2×associate-+l+ flip3-- sum-log flip-- cbrt-unprod
1×cbrt-undiv +-commutative distribute-rgt-in associate-+r- sub-neg distribute-lft-in diff-log pow-prod-down *-commutative div-inv
Counts
2 → 134
Calls
2 calls:
15.0ms
(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
21.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series549.0ms

Counts
2 → 6
Calls
2 calls:
500.0ms
(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
49.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify98.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07991164
14062970
25001969

prune307.0ms

Filtered
140 candidates to 90 candidates (64.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1382140
Fresh033
Picked011
Done000
Total1386144

Merged error: 0.1b

Counts
144 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
0.6b
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
0.6b
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
0.6b
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
102×cbrt-div
74×associate-*r/
68×frac-add
51×flip3-+ flip-+
36×frac-times
34×flip3-- flip--
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* associate-*l/
4×add-cbrt-cube 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 → 139
Calls
4 calls:
23.0ms
(* (cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
10.0ms
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
9.0ms
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
13.0ms
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))

series992.0ms

Counts
4 → 12
Calls
4 calls:
271.0ms
(* (cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
239.0ms
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
241.0ms
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
240.0ms
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))

simplify131.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
07237276
130707113
250017002

prune660.0ms

Filtered
151 candidates to 109 candidates (72.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1492151
Fresh134
Picked101
Done011
Total1516157

Merged error: 0.1b

Counts
157 → 6

localize37.0ms

Local error

Found 4 expressions with local error:

32.2b
(cbrt (+ (* (* 2.0 (+ (pow x 2) x)) (* 2.0 (+ (pow x 2) x))) (- (* (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))) (* (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))))
32.6b
(/ (* (cbrt (+ (pow (* 2.0 (+ (pow x 2) x)) 3) (pow (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) 3))) (cbrt (+ (pow (* 2.0 (+ (pow x 2) x)) 3) (pow (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) 3)))) (* (cbrt (+ (* (* 2.0 (+ (pow x 2) x)) (* 2.0 (+ (pow x 2) x))) (- (* (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))) (* (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))) (cbrt (+ (* (* 2.0 (+ (pow x 2) x)) (* 2.0 (+ (pow x 2) x))) (- (* (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))) (* (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))))))
39.9b
(cbrt (+ (pow (* 2.0 (+ (pow x 2) x)) 3) (pow (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) 3)))
39.9b
(cbrt (+ (pow (* 2.0 (+ (pow x 2) x)) 3) (pow (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) 3)))

rewrite3.5m

Algorithm
rewrite-expression-head
Rules
1880468×associate-*r/
1208464×frac-times
694264×flip3-- flip--
690899×flip3-+ flip-+
633470×cbrt-div
631184×frac-add
577024×frac-sub
464892×associate-*l/
316968×associate-/r/
36064×sub-div
128×cube-div
48×associate-/l/
16×add-exp-log
13×cbrt-prod
11×*-un-lft-identity
8×add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt
4×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×sum-cubes distribute-lft-out
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 317648
Calls
4 calls:
96.0ms
(cbrt (+ (* (* 2.0 (+ (pow x 2) x)) (* 2.0 (+ (pow x 2) x))) (- (* (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))) (* (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))))
24.0s
(/ (* (cbrt (+ (pow (* 2.0 (+ (pow x 2) x)) 3) (pow (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) 3))) (cbrt (+ (pow (* 2.0 (+ (pow x 2) x)) 3) (pow (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) 3)))) (* (cbrt (+ (* (* 2.0 (+ (pow x 2) x)) (* 2.0 (+ (pow x 2) x))) (- (* (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))) (* (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))) (cbrt (+ (* (* 2.0 (+ (pow x 2) x)) (* 2.0 (+ (pow x 2) x))) (- (* (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))) (* (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))))))
11.0ms
(cbrt (+ (pow (* 2.0 (+ (pow x 2) x)) 3) (pow (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) 3)))
11.0ms
(cbrt (+ (pow (* 2.0 (+ (pow x 2) x)) 3) (pow (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) 3)))

series2.0s

Counts
4 → 12
Calls
4 calls:
347.0ms
(cbrt (+ (* (* 2.0 (+ (pow x 2) x)) (* 2.0 (+ (pow x 2) x))) (- (* (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))) (* (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))))
667.0ms
(/ (* (cbrt (+ (pow (* 2.0 (+ (pow x 2) x)) 3) (pow (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) 3))) (cbrt (+ (pow (* 2.0 (+ (pow x 2) x)) 3) (pow (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) 3)))) (* (cbrt (+ (* (* 2.0 (+ (pow x 2) x)) (* 2.0 (+ (pow x 2) x))) (- (* (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))) (* (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))) (cbrt (+ (* (* 2.0 (+ (pow x 2) x)) (* 2.0 (+ (pow x 2) x))) (- (* (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))) (* (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))))))
461.0ms
(cbrt (+ (pow (* 2.0 (+ (pow x 2) x)) 3) (pow (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) 3)))
473.0ms
(cbrt (+ (pow (* 2.0 (+ (pow x 2) x)) 3) (pow (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))) 3)))

simplify6.4m

Algorithm
egg-herbie

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