Details

Time bar (total: 3.3s)

sample28.0ms

Algorithm
intervals
Results
12.0ms132×pre10240exit
4.0ms256×body80valid
2.0ms124×pre80true

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1123
2123

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.8b
(/ x0 (- 1.0 x1))
7.5b
(- (/ 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)

series81.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ x0 (- 1.0 x1))
47.0ms
(- (/ x0 (- 1.0 x1)) x0)

simplify93.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0244328
1801315
23123310
35001310

prune84.0ms

Filtered
58 candidates to 44 candidates (75.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.1b

localize12.0ms

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))
6.2b
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite29.0ms

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))

series180.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ x0 (- 1.0 x1))
37.0ms
(/ x0 (- 1.0 x1))
34.0ms
(/ x0 (- 1.0 x1))
74.0ms
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify155.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0288828
11116773
24811759
35001759

prune229.0ms

Filtered
136 candidates to 103 candidates (75.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ (/ x0 (- 1.0 x1)) x0)
0.8b
(/ x0 (- 1.0 x1))
0.8b
(/ x0 (- 1.0 x1))
6.2b
(- (* (* (/ (sqrt x0) (sqrt (- 1.0 x1))) (/ (sqrt x0) (sqrt (- 1.0 x1)))) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite106.0ms

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 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 → 98
Calls
4 calls:
24.0ms
(+ (/ x0 (- 1.0 x1)) x0)
5.0ms
(/ x0 (- 1.0 x1))
5.0ms
(/ x0 (- 1.0 x1))
68.0ms
(- (* (* (/ (sqrt x0) (sqrt (- 1.0 x1))) (/ (sqrt x0) (sqrt (- 1.0 x1)))) (/ x0 (- 1.0 x1))) (* x0 x0))

series203.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (/ x0 (- 1.0 x1)) x0)
37.0ms
(/ x0 (- 1.0 x1))
34.0ms
(/ x0 (- 1.0 x1))
97.0ms
(- (* (* (/ (sqrt x0) (sqrt (- 1.0 x1))) (/ (sqrt x0) (sqrt (- 1.0 x1)))) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify43.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0382813
11518765
25001749

prune246.0ms

Filtered
110 candidates to 85 candidates (77.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ x0 (- 1.0 x1))
0.8b
(/ x0 (- 1.0 x1))
3.9b
(log (exp (- (* (* (/ (sqrt x0) (sqrt (- 1.0 x1))) (/ (sqrt x0) (sqrt (- 1.0 x1)))) (/ x0 (- 1.0 x1))) (* x0 x0))))
6.2b
(- (* (* (/ (sqrt x0) (sqrt (- 1.0 x1))) (/ (sqrt x0) (sqrt (- 1.0 x1)))) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite342.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt *-un-lft-identity
30×times-frac
26×add-cube-cbrt
10×associate-/r*
8×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
6×associate-/l* add-log-exp
5×pow1 log-prod
4×associate-/r/ log-pow
3×exp-prod flip3-- flip--
2×cbrt-undiv sub-neg frac-2neg div-exp exp-sum clear-num div-inv
1×log-div exp-diff diff-log rem-log-exp
Counts
4 → 104
Calls
4 calls:
5.0ms
(/ x0 (- 1.0 x1))
5.0ms
(/ x0 (- 1.0 x1))
261.0ms
(log (exp (- (* (* (/ (sqrt x0) (sqrt (- 1.0 x1))) (/ (sqrt x0) (sqrt (- 1.0 x1)))) (/ x0 (- 1.0 x1))) (* x0 x0))))
68.0ms
(- (* (* (/ (sqrt x0) (sqrt (- 1.0 x1))) (/ (sqrt x0) (sqrt (- 1.0 x1)))) (/ x0 (- 1.0 x1))) (* x0 x0))

series261.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ x0 (- 1.0 x1))
36.0ms
(/ x0 (- 1.0 x1))
95.0ms
(log (exp (- (* (* (/ (sqrt x0) (sqrt (- 1.0 x1))) (/ (sqrt x0) (sqrt (- 1.0 x1)))) (/ x0 (- 1.0 x1))) (* x0 x0))))
96.0ms
(- (* (* (/ (sqrt x0) (sqrt (- 1.0 x1))) (/ (sqrt x0) (sqrt (- 1.0 x1)))) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify45.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03521117
113601020
25001999

prune307.0ms

Filtered
116 candidates to 91 candidates (78.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.2b

regimes63.0ms

Accuracy

77.2% (0.5b remaining)

Error of 4.6b against oracle of 4.2b and baseline of 6.3b

bsearch34.0ms

Steps
ItersRangePoint
7
0.000209
0.0186
0.00021208908081054686

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03539
13539

end0.0ms

sample696.0ms

Algorithm
intervals
Results
360.0ms3957×pre10240exit
134.0ms8000×body80valid
64.0ms4043×pre80true