Details

Time bar (total: 5.4s)

analyze1.3s

Algorithm
search

sample34.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
4.0ms83×body80invalid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0258
1478
2968
31658
42418
53908
611938
750028

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.7b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b
(* (* z 2.0) (- 1.0 t))
9.7b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1 add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
5×associate-*r* add-log-exp
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in prod-exp cbrt-unprod
3×times-frac pow-prod-down associate-/l*
2×cbrt-undiv flip3-+ associate-*r/ div-exp flip-+ associate-/l/
1×+-commutative flip3-- frac-2neg associate-*l* clear-num associate-/r* sum-log *-commutative flip-- div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 64
Calls
3 calls:
3.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
7.0ms
(* (* z 2.0) (- 1.0 t))
6.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series20.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
5.0ms
(* (* z 2.0) (- 1.0 t))
9.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify43.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0347476
11536413
25001406

prune93.0ms

Filtered
48 candidates to 73 candidates (-52.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New69473
Fresh000
Picked011
Done000
Total69574

Merged error: 0.0b

Counts
74 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
11×add-exp-log times-frac
10×add-cube-cbrt
7×add-cbrt-cube
4×pow1 associate-*r* prod-exp add-log-exp
3×unswap-sqr
2×distribute-rgt-in frac-times distribute-lft-in flip3-+ associate-*r/ div-exp associate--l+ cbrt-unprod flip-+
1×cbrt-undiv sub-neg rec-exp flip3-- diff-log 1-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv distribute-lft-out
Counts
2 → 56
Calls
2 calls:
10.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
14.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series10.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
5.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0371396
11678341
25001315

prune82.0ms

Filtered
43 candidates to 62 candidates (-44.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New61162
Fresh123
Picked011
Done011
Total62567

Merged error: 0.0b

Counts
67 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))) (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))))
0.6b
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
0.6b
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
0.6b
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
75×cbrt-div
55×frac-times
35×associate-*r/
30×flip3-+ flip-+
20×associate-*l/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 108
Calls
4 calls:
7.0ms
(* (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))) (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))))
9.0ms
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
8.0ms
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
9.0ms
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))

series81.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))) (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))))
17.0ms
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
21.0ms
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
18.0ms
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05221876
119501784
250021664

prune349.0ms

Filtered
94 candidates to 120 candidates (-27.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1182120
Fresh022
Picked101
Done022
Total1196125

Merged error: 0b

Counts
125 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 t))
0.6b
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
0.6b
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
0.8b
(cbrt (+ (/ 2.0 z) 2.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
14×*-un-lft-identity
13×cbrt-div
12×add-sqr-sqrt add-cube-cbrt
9×times-frac
5×flip3-+ flip-+
4×pow1 add-exp-log frac-times pow1/3 associate-*r/ add-cbrt-cube add-log-exp
2×associate-*l/
1×div-inv distribute-lft-out
Counts
4 → 64
Calls
4 calls:
2.0ms
(cbrt (/ 1 t))
8.0ms
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
9.0ms
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
6.0ms
(cbrt (+ (/ 2.0 z) 2.0))

series63.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt (/ 1 t))
19.0ms
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
17.0ms
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
6.0ms
(cbrt (+ (/ 2.0 z) 2.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0437723
11439679
25002616

prune222.0ms

Filtered
66 candidates to 76 candidates (-15.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh033
Picked011
Done022
Total76682

Merged error: 0b

Counts
82 → 6

regimes489.0ms

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
0187
1187

end0.0ms

analyze1.5s

Algorithm
search

sample802.0ms

Algorithm
intervals
Results
398.0ms8000×body80valid
122.0ms2423×body80invalid

Profiling

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