Details

Time bar (total: 6.1s)

sample121.0ms

Algorithm
intervals
Results
65.0ms125×body1280valid
24.0ms82×body640valid
11.0ms278×body80nan
8.0ms29×body320valid
1.0ms14×body160valid
0.0ms6×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1204
2234
3234

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
4.1b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

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-/l*
4×associate-/r* associate-/r/ add-cbrt-cube
3×pow1
2×flip3-+ div-exp rem-log-exp flip-+ div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div flip3-- frac-2neg div-sub clear-num log-pow flip--
Counts
2 → 83
Calls
2 calls:
10.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series165.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
132.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify135.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0339657
11040625
24497607
35001607

prune184.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune8.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
0.0b
(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
4.1b
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
4.1b
(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
272×*-un-lft-identity
135×times-frac
108×add-sqr-sqrt log-prod
84×distribute-lft-out
64×unpow-prod-down cube-prod
52×add-cube-cbrt
51×associate-+l+
28×distribute-lft-out-- difference-of-squares
16×sum-cubes
10×pow1 add-exp-log
9×associate-/r*
6×log-div flip3-+ associate-/r/ log-pow add-cbrt-cube flip-+
5×associate-/l*
4×add-log-exp
3×associate-+r+ rem-log-exp div-inv
2×associate-+r- div-exp associate-/l/
1×cbrt-undiv +-commutative associate-+l- flip3-- frac-2neg div-sub clear-num sum-log flip--
Counts
4 → 224
Calls
4 calls:
32.0ms
(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
29.0ms
(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
20.0ms
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
7.0ms
(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

series619.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
416.0ms
(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))
76.0ms
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
73.0ms
(log (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

simplify76.0ms

Algorithm
egg-herbie
Counts
236 → 236
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
07002687
123672598
250022567

prune457.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))
1.9b
(log (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))))
4.1b
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
4.2b
(log (- (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
59×log-prod
46×add-sqr-sqrt
45×times-frac
25×add-cube-cbrt distribute-lft-out
20×unpow-prod-down cube-prod
14×pow1
11×add-exp-log difference-of-squares
9×distribute-lft-out--
8×flip3-- flip--
6×add-cbrt-cube
5×log-div sum-cubes
4×frac-times distribute-rgt-out-- swap-sqr rem-log-exp associate-*r* associate-*l* add-log-exp
3×log-pow
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ associate-*l/ associate-/r/
1×pow2 flip3-+ pow-plus div-exp pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod flip-+ div-inv unswap-sqr
Counts
4 → 132
Calls
4 calls:
17.0ms
(* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))
15.0ms
(log (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))))
18.0ms
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
7.0ms
(log (- (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

series252.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))
86.0ms
(log (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (- (* eps eps) (* 1.0 eps)) (- (* eps eps) (* 1.0 eps)))))
69.0ms
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
65.0ms
(log (- (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))

simplify90.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07111675
128531512
250011503

prune398.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes24.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159
1159

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.7s3369×body1280valid
746.0ms2519×body640valid
315.0ms7904×body80nan
225.0ms1260×body320valid
70.0ms638×body160valid
12.0ms214×body80valid