Details

Time bar (total: 3.6s)

sample32.0ms

Algorithm
intervals
Results
12.0ms128×pre10240exit
7.0ms256×body80valid
2.0ms128×pre80true

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1123
2123

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.8b
(/ x0 (- 1.0 x1))
7.6b
(- (/ x0 (- 1.0 x1)) x0)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×*-un-lft-identity
16×times-frac
12×add-cube-cbrt
6×difference-of-squares
5×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 52
Calls
2 calls:
5.0ms
(/ x0 (- 1.0 x1))
30.0ms
(- (/ x0 (- 1.0 x1)) x0)

series80.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ x0 (- 1.0 x1))
46.0ms
(- (/ x0 (- 1.0 x1)) x0)

simplify95.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0244328
1801315
23123310
35001310

prune91.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ x0 (- 1.0 x1))
0.8b
(/ x0 (- 1.0 x1))
0.8b
(/ x0 (- 1.0 x1))
6.3b
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt *-un-lft-identity
45×times-frac
34×add-cube-cbrt
15×associate-/r*
13×difference-of-squares
12×distribute-lft-out--
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×associate-/r/ add-log-exp
4×pow1 flip3-- flip--
3×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×sub-neg diff-log
Counts
4 → 124
Calls
4 calls:
5.0ms
(/ x0 (- 1.0 x1))
5.0ms
(/ x0 (- 1.0 x1))
5.0ms
(/ x0 (- 1.0 x1))
10.0ms
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series188.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ x0 (- 1.0 x1))
35.0ms
(/ x0 (- 1.0 x1))
40.0ms
(/ x0 (- 1.0 x1))
77.0ms
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify165.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0288828
11116773
24811759
35001759

prune235.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(+ (/ x0 (- 1.0 x1)) x0)
0.8b
(/ x0 (- 1.0 x1))
0.8b
(/ x0 (- 1.0 x1))
6.3b
(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
24×add-cube-cbrt
10×associate-/r*
8×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
6×associate-/l*
4×pow1 distribute-rgt-in distribute-lft-in associate--l+ associate-/r/
3×flip3-- flip--
2×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×+-commutative sub-neg flip3-+ diff-log sum-log flip-+ distribute-lft-out
Counts
4 → 102
Calls
4 calls:
23.0ms
(+ (/ x0 (- 1.0 x1)) x0)
5.0ms
(/ x0 (- 1.0 x1))
5.0ms
(/ x0 (- 1.0 x1))
34.0ms
(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

series307.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (/ x0 (- 1.0 x1)) x0)
33.0ms
(/ x0 (- 1.0 x1))
33.0ms
(/ x0 (- 1.0 x1))
202.0ms
(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

simplify45.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0395799
11569757
25002745

prune254.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ x0 (- 1.0 x1))
0.8b
(/ x0 (- 1.0 x1))
4.0b
(log (exp (- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))))
6.3b
(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt *-un-lft-identity
30×times-frac
26×add-cube-cbrt
10×associate-/r*
9×log-prod
8×add-exp-log distribute-rgt-in distribute-lft-in associate--l+ add-cbrt-cube distribute-lft-out-- difference-of-squares
6×exp-sum associate-/l* add-log-exp
5×pow1
4×associate-/r/ log-pow
3×exp-prod flip3-- flip--
2×cbrt-undiv sub-neg frac-2neg div-exp clear-num div-inv
1×log-div exp-diff diff-log rem-log-exp
Counts
4 → 112
Calls
4 calls:
5.0ms
(/ x0 (- 1.0 x1))
5.0ms
(/ x0 (- 1.0 x1))
90.0ms
(log (exp (- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))))
34.0ms
(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

series639.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ x0 (- 1.0 x1))
33.0ms
(/ x0 (- 1.0 x1))
374.0ms
(log (exp (- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))))
195.0ms
(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

simplify49.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04151106
115071024
250021006

prune308.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.2b

regimes39.0ms

Accuracy

0% (0.7b remaining)

Error of 4.7b against oracle of 4.0b and baseline of 4.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03525
13525

end0.0ms

sample713.0ms

Algorithm
intervals
Results
379.0ms4013×pre10240exit
134.0ms8000×body80valid
68.0ms3987×pre80true