Details

Time bar (total: 6.0s)

sample98.0ms

Algorithm
intervals
Results
49.0ms105×body1280valid
20.0ms81×body640valid
7.0ms250×body80nan
6.0ms42×body320valid
2.0ms24×body160valid
0.0ms4×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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
6.6b
(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:
23.0ms
(/ (+ 1.0 x) (- 1.0 x))
10.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (+ 1.0 x) (- 1.0 x))
126.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify122.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
0334673
11078636
24549616
35001613

prune200.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite47.0ms

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:
40.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify58.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0532717
12653534
25002533

prune483.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1.0 x))
6.6b
(log (+ 1.0 x))
6.6b
(log (/ 1 (- 1.0 x)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
37×add-sqr-sqrt
30×times-frac
25×log-prod
23×add-cube-cbrt
13×add-exp-log
7×pow1 distribute-lft-out-- difference-of-squares
5×rem-log-exp associate-/r* add-cbrt-cube
4×div-exp associate-/r/ log-pow
3×expm1-log1p-u log-div log1p-expm1-u associate-/l* add-log-exp
2×rec-exp flip3-- pow-flip 1-exp flip-- div-inv inv-pow
1×cbrt-undiv frac-2neg flip3-+ log-rec clear-num flip-+ distribute-lft-out
Counts
3 → 99
Calls
3 calls:
12.0ms
(/ 1 (- 1.0 x))
6.0ms
(log (+ 1.0 x))
7.0ms
(log (/ 1 (- 1.0 x)))

series126.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ 1 (- 1.0 x))
40.0ms
(log (+ 1.0 x))
64.0ms
(log (/ 1 (- 1.0 x)))

simplify36.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0371585
11197547
25002495

prune179.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (- 1.0 x))
0.0b
(/ (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (cbrt (- 1.0 x)))
6.6b
(log (+ 1.0 x))
6.6b
(log (/ (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (cbrt (- 1.0 x))))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
291×times-frac
210×cbrt-div
169×*-un-lft-identity
167×add-sqr-sqrt
160×cbrt-prod
140×associate-/r/
130×log-prod
105×flip3-- flip--
103×add-cube-cbrt
68×frac-times
44×add-exp-log
34×associate-*r/ associate-*l/
32×distribute-lft-out-- difference-of-squares
24×pow1
22×div-exp
19×div-inv
15×associate-/l*
13×pow1/3
12×pow-flip pow-div
9×rem-log-exp
8×associate-/r* log-pow add-cbrt-cube
6×prod-exp
5×cbrt-undiv
4×expm1-log1p-u rec-exp 1-exp pow-sqr pow-prod-up log1p-expm1-u add-log-exp
3×log-div
2×pow2 pow-plus
1×frac-2neg flip3-+ clear-num cbrt-unprod flip-+ associate-/l/ distribute-lft-out
Counts
4 → 359
Calls
4 calls:
4.0ms
(cbrt (- 1.0 x))
53.0ms
(/ (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (cbrt (- 1.0 x)))
4.0ms
(log (+ 1.0 x))
41.0ms
(log (/ (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (cbrt (- 1.0 x))))

series215.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(cbrt (- 1.0 x))
22.0ms
(/ (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (cbrt (- 1.0 x)))
42.0ms
(log (+ 1.0 x))
65.0ms
(log (/ (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (cbrt (- 1.0 x))))

simplify127.0ms

Algorithm
egg-herbie
Counts
371 → 371
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
012876240
143005947
250015938

prune952.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes25.0ms

Accuracy

0% (0.4b 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
01610
11610

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.5s3335×body1280valid
632.0ms2598×body640valid
224.0ms8045×body80nan
180.0ms1250×body320valid
55.0ms631×body160valid
8.0ms186×body80valid