Details

Time bar (total: 4.9s)

sample19.0ms

Algorithm
intervals
Results
6.0ms68×body640valid
3.0ms135×body80valid
2.0ms36×body320valid
1.0ms17×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1124
2124

prune2.0ms

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: 15.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
2.3b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite25.0ms

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:
5.0ms
(/ 1.0 (+ x 1.0))
17.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series91.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ 1.0 (+ x 1.0))
65.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify160.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0266392
1898369
24171367
35002367

prune106.0ms

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: 0.1b

Counts
65 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.0b
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
1.7b
(- x (+ x 1.0))

rewrite25.0ms

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)
12.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
6.0ms
(- x (+ x 1.0))

series91.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* (+ x 1.0) x)
41.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
8.0ms
(- x (+ x 1.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0345395
12045325
25003316

prune98.0ms

Filtered
72 candidates to 48 candidates (66.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New71172
Fresh022
Picked011
Done000
Total71475

Merged error: 0.0b

Counts
75 → 4

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)

rewrite77.0ms

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:
11.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
25.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series69.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
37.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify95.0ms

Algorithm
egg-herbie
Counts
480 → 480
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
015825673
150015480

prune768.0ms

Filtered
480 candidates to 316 candidates (65.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New4773480
Fresh112
Picked011
Done011
Total4786484

Merged error: 0b

Counts
484 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))))
0.3b
(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
0.3b
(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
0.3b
(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
1254×times-frac
1135×*-un-lft-identity
737×cbrt-prod
723×add-sqr-sqrt
475×add-cube-cbrt
159×distribute-lft-out
152×swap-sqr
132×distribute-lft-out--
96×difference-of-squares
86×associate-*r* associate-*l*
49×associate-/r/
28×div-inv
21×flip3-- flip--
16×unswap-sqr
11×pow1
9×pow1/3
7×cbrt-div
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 637
Calls
4 calls:
123.0ms
(* (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))))
12.0ms
(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
12.0ms
(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
12.0ms
(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))

series679.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(* (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))))
165.0ms
(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
159.0ms
(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
168.0ms
(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))

simplify221.0ms

Algorithm
egg-herbie
Counts
649 → 649
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
0110011048
1475310940
2500310705

prune1.6s

Filtered
649 candidates to 389 candidates (59.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New6490649
Fresh033
Picked011
Done022
Total6496655

Merged error: 0b

Counts
655 → 6

regimes19.0ms

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

sample480.0ms

Algorithm
intervals
Results
170.0ms1917×body640valid
100.0ms4171×body80valid
86.0ms1271×body320valid
31.0ms642×body160valid

Profiling

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