Details

Time bar (total: 6.2s)

sample103.0ms

Algorithm
intervals
Results
51.0ms111×body1280valid
20.0ms80×body640valid
8.0ms39×body320valid
7.0ms246×body80nan
3.0ms20×body160valid
0.0ms6×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3656
4986
51226
61356
71376
81376

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.9b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite37.0ms

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×expm1-log1p-u flip3-- div-exp rem-log-exp flip-- log1p-expm1-u div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 86
Calls
2 calls:
24.0ms
(/ (+ 1.0 x) (- 1.0 x))
10.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series145.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (+ 1.0 x) (- 1.0 x))
118.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify117.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0334673
11078636
24549616
35001613

prune201.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
69×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
35×add-cube-cbrt *-un-lft-identity
24×add-exp-log unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
6×pow-to-exp pow-exp add-cbrt-cube
3×pow1 associate-*l*
2×cbrt-unprod
1×cbrt-undiv expm1-log1p-u associate-*r/ pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 112
Calls
1 calls:
39.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify52.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0532653
12211536
25002535

prune283.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
0.0b
(cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3))
0.0b
(pow (/ (+ 1.0 x) (- 1.0 x)) 3)
5.9b
(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
209×*-un-lft-identity
140×times-frac
137×add-sqr-sqrt
116×cbrt-prod
79×add-cube-cbrt
78×unpow-prod-down cube-prod
61×log-prod
36×distribute-lft-out
29×distribute-lft-out-- difference-of-squares
14×associate-/r/
10×add-exp-log
9×add-cbrt-cube
7×flip3-- flip-- div-inv
6×pow1
5×associate-/r*
4×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
3×cube-div cube-mult pow-unpow unpow3 sqr-pow
2×cbrt-undiv cbrt-div pow1/3 div-exp pow-exp log-pow associate-/l/ rem-cube-cbrt
1×pow-to-exp log-div pow-pow frac-2neg flip3-+ rem-log-exp clear-num rem-cbrt-cube flip-+
Counts
4 → 265
Calls
4 calls:
24.0ms
(/ (+ 1.0 x) (- 1.0 x))
21.0ms
(cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3))
21.0ms
(pow (/ (+ 1.0 x) (- 1.0 x)) 3)
26.0ms
(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))

series227.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (+ 1.0 x) (- 1.0 x))
33.0ms
(cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3))
47.0ms
(pow (/ (+ 1.0 x) (- 1.0 x)) 3)
119.0ms
(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))

simplify82.0ms

Algorithm
egg-herbie
Counts
277 → 277
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06482405
127832153
250022131

prune321.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))) (cbrt (log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))))
5.9b
(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))
5.9b
(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))
5.9b
(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
202×cbrt-prod
188×*-un-lft-identity
183×log-prod
134×add-sqr-sqrt
120×times-frac
78×add-cube-cbrt unpow-prod-down cube-prod
30×distribute-lft-out
24×distribute-lft-out-- difference-of-squares
20×pow1
16×log-pow
13×pow1/3
12×associate-/r/
10×swap-sqr
9×add-exp-log
8×associate-*r* associate-*l*
6×flip3-- flip-- div-inv
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×cube-div cube-mult log-div cbrt-div unpow3 rem-log-exp sqr-pow
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 272
Calls
4 calls:
14.0ms
(* (cbrt (log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))) (cbrt (log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))))
23.0ms
(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))
27.0ms
(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))
24.0ms
(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))

series677.0ms

Counts
4 → 12
Calls
4 calls:
328.0ms
(* (cbrt (log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))) (cbrt (log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))))
113.0ms
(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))
121.0ms
(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))
115.0ms
(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))

simplify88.0ms

Algorithm
egg-herbie
Counts
284 → 284
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06763667
128333270
250013053

prune563.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

regimes63.0ms

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 (0.0ms)

IterNodesCost
01610
11610

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.5s3384×body1280valid
618.0ms2490×body640valid
216.0ms7939×body80nan
188.0ms1265×body320valid
59.0ms645×body160valid
9.0ms216×body80valid