Details

Time bar (total: 3.0s)

sample17.0ms

Algorithm
intervals
Results
5.0ms53×body640valid
3.0ms137×body80valid
3.0ms43×body320valid
1.0ms23×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1124
2124

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.2b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
4.1b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
28×times-frac
27×add-sqr-sqrt
15×add-cube-cbrt
8×distribute-lft-out--
7×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×div-inv associate-/l*
2×pow1 associate-/r/
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num frac-sub flip-- flip-+
Counts
2 → 58
Calls
2 calls:
8.0ms
(/ 1.0 (+ x 1.0))
18.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series83.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ 1.0 (+ x 1.0))
55.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify155.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0266392
1898369
24171367
35002367

prune104.0ms

Filtered
64 candidates to 47 candidates (73.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New61364
Fresh000
Picked101
Done000
Total62365

Merged error: 0.4b

Counts
65 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.1b
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
3.4b
(- x (+ x 1.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
12×*-un-lft-identity
9×add-sqr-sqrt
8×add-log-exp
5×pow1 add-cube-cbrt prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×associate-*r*
2×flip3-- flip3-+ diff-log associate-*r/ associate-/r/ flip-- flip-+ associate-/l/ distribute-lft-out distribute-lft-out--
1×sub-neg frac-2neg times-frac pow-prod-down clear-num associate-/r* sum-log *-commutative div-inv associate-/l* associate--r+ difference-of-squares unswap-sqr
Counts
3 → 63
Calls
3 calls:
6.0ms
(* (+ x 1.0) x)
13.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
6.0ms
(- x (+ x 1.0))

series86.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* (+ x 1.0) x)
34.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms
(- x (+ x 1.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0345395
12045325
25003316

prune100.0ms

Filtered
72 candidates to 48 candidates (66.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New69372
Fresh022
Picked101
Done000
Total70575

Merged error: 0.0b

Counts
75 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
0.1b
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
959×times-frac
669×*-un-lft-identity
509×add-sqr-sqrt
381×add-cube-cbrt
86×associate-/l*
80×distribute-lft-out
64×distribute-lft-out-- difference-of-squares
37×associate-/r/
29×associate-/r*
22×div-inv
16×add-exp-log flip3-- add-cbrt-cube flip--
9×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 474
Calls
2 calls:
12.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
26.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series66.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
36.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify94.0ms

Algorithm
egg-herbie
Counts
480 → 480
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
015825673
150015480

prune761.0ms

Filtered
480 candidates to 316 candidates (65.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New4782480
Fresh044
Picked011
Done000
Total4787485

Merged error: 0b

Counts
485 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
11.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
3.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))

series380.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
92.0ms
(cbrt (+ x 1.0))
91.0ms
(cbrt (+ x 1.0))
93.0ms
(cbrt (+ x 1.0))

simplify156.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (146.0ms)

IterNodesCost
0306792
1995747
24426669
35003665

prune227.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh055
Picked011
Done011
Total1077114

Merged error: 0b

Counts
114 → 7

regimes23.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample462.0ms

Algorithm
intervals
Results
166.0ms1923×body640valid
95.0ms4197×body80valid
86.0ms1264×body320valid
26.0ms618×body160valid

Profiling

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