Details

Time bar (total: 3.1s)

sample28.0ms

Algorithm
intervals
Results
15.0ms327×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0258
1478
2968
31658
42418
53908
611938
750028

prune3.0ms

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: 11.6b

Counts
2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* z 2.0) (- 1.0 t))
11.6b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log add-cbrt-cube
7×pow1 add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt associate-*r*
4×prod-exp cbrt-unprod
3×times-frac pow-prod-down associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in associate-*r/ div-exp associate-/l/ add-log-exp
1×flip3-- frac-2neg flip3-+ associate-*l* clear-num associate-/r* *-commutative flip-- flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
8.0ms
(* (* z 2.0) (- 1.0 t))
7.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series114.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* (* z 2.0) (- 1.0 t))
67.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify48.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0318373
11441311
25001308

prune97.0ms

Filtered
55 candidates to 35 candidates (63.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New53255
Fresh000
Picked011
Done000
Total53356

Merged error: 0.0b

Counts
56 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
0.0b
(+ (/ 2.0 z) 2.0)
0.2b
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
13×associate-*l*
12×add-exp-log
11×add-cube-cbrt times-frac
8×add-cbrt-cube
7×add-log-exp
5×pow1
4×associate-*r* prod-exp
3×flip3-+ flip-+ unswap-sqr
2×distribute-rgt-in frac-times distribute-lft-in associate-*r/ div-exp associate--l+ cbrt-unprod distribute-lft-out
1×cbrt-undiv +-commutative sub-neg rec-exp flip3-- diff-log 1-exp pow-prod-down associate-*l/ sum-log *-commutative flip-- div-inv
Counts
3 → 68
Calls
3 calls:
12.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
7.0ms
(+ (/ 2.0 z) 2.0)
13.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series98.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
31.0ms
(+ (/ 2.0 z) 2.0)
37.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0381458
11697395
25001374

prune138.0ms

Filtered
77 candidates to 53 candidates (68.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New75277
Fresh011
Picked011
Done011
Total75580

Merged error: 0b

Counts
80 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ (/ 2.0 z) 2.0) t) 2.0)
0.0b
(+ (/ 2.0 z) 2.0)
0.1b
(/ (+ (/ 2.0 z) 2.0) t)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
17×add-sqr-sqrt
13×times-frac
12×add-cube-cbrt
7×add-log-exp
5×add-exp-log add-cbrt-cube distribute-lft-out
4×associate-/l*
3×pow1 associate-/r*
2×flip3-+ flip-+ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp clear-num sum-log flip-- div-inv distribute-lft-out--
Counts
3 → 60
Calls
3 calls:
14.0ms
(- (/ (+ (/ 2.0 z) 2.0) t) 2.0)
7.0ms
(+ (/ 2.0 z) 2.0)
10.0ms
(/ (+ (/ 2.0 z) 2.0) t)

series99.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- (/ (+ (/ 2.0 z) 2.0) t) 2.0)
28.0ms
(+ (/ 2.0 z) 2.0)
39.0ms
(/ (+ (/ 2.0 z) 2.0) t)

simplify87.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0224414
1622390
22283378
35001372

prune145.0ms

Filtered
69 candidates to 46 candidates (66.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh022
Picked011
Done022
Total69574

Merged error: 0b

Counts
74 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ 1 t)) (cbrt (/ 1 t)))
0.5b
(cbrt (/ 1 t))
0.5b
(cbrt (/ 1 t))
0.5b
(cbrt (/ 1 t))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
119×cbrt-prod
97×add-sqr-sqrt
79×times-frac
67×*-un-lft-identity
57×add-cube-cbrt
18×swap-sqr
16×associate-*r* associate-*l* unswap-sqr
11×pow1
9×pow1/3 div-inv
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 → 153
Calls
4 calls:
13.0ms
(* (cbrt (/ 1 t)) (cbrt (/ 1 t)))
3.0ms
(cbrt (/ 1 t))
2.0ms
(cbrt (/ 1 t))
3.0ms
(cbrt (/ 1 t))

series729.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(* (cbrt (/ 1 t)) (cbrt (/ 1 t)))
162.0ms
(cbrt (/ 1 t))
217.0ms
(cbrt (/ 1 t))
165.0ms
(cbrt (/ 1 t))

simplify45.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
02191142
18971034
25002874

prune306.0ms

Filtered
165 candidates to 96 candidates (58.2%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1650165
Fresh011
Picked011
Done033
Total1655170

Merged error: 0b

Counts
170 → 5

regimes152.0ms

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
0136
1136

end0.0ms

sample802.0ms

Algorithm
intervals
Results
525.0ms10432×body80valid

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