Details

Time bar (total: 3.1s)

sample30.0ms

Algorithm
intervals
Results
16.0ms328×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (12.0ms)

IterNodesCost
0258
1508
21068
32088
43226
55206
614396
750026

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.6b

Counts
2 → 2

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* z 2.0) (- 1.0 t))
10.6b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
18×prod-diff
17×add-cube-cbrt
12×add-exp-log add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
7×pow1
5×associate-*r*
4×prod-exp cbrt-unprod
3×times-frac pow-prod-down associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg associate-*r/ div-exp log1p-expm1-u 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 → 71
Calls
2 calls:
9.0ms
(* (* z 2.0) (- 1.0 t))
7.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series116.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* (* z 2.0) (- 1.0 t))
71.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify64.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0449683
12058491
25002488

prune161.0ms

Filtered
77 candidates to 41 candidates (53.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New72577
Fresh011
Picked101
Done000
Total73679

Merged error: 0.0b

Counts
79 → 6

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
0.7b
(/ 1 (* t z))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log
7×add-cbrt-cube
5×pow1
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp
3×times-frac prod-exp associate-/l*
2×cbrt-undiv expm1-log1p-u rec-exp pow-flip 1-exp log1p-expm1-u add-log-exp
1×frac-2neg pow-prod-down clear-num associate-/r* cbrt-unprod fma-udef div-inv inv-pow
Counts
2 → 40
Calls
2 calls:
1.0ms
(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
5.0ms
(/ 1 (* t z))

series47.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
13.0ms
(/ 1 (* t z))

simplify51.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0142205
1515176
22187166
35001165

prune103.0ms

Filtered
46 candidates to 27 candidates (58.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New44246
Fresh235
Picked011
Done000
Total46652

Merged error: 0.0b

Counts
52 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
44×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
11×add-exp-log
7×add-cbrt-cube
6×div-exp
5×div-inv
3×cbrt-undiv associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×rec-exp frac-2neg 1-exp clear-num fma-udef associate-/l/
Counts
2 → 84
Calls
2 calls:
1.0ms
(fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0))
7.0ms
(/ (/ 1 t) z)

series54.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0))
13.0ms
(/ (/ 1 t) z)

simplify80.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0349566
11212507
24255461
35001461

prune407.0ms

Filtered
90 candidates to 50 candidates (55.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New89190
Fresh134
Picked011
Done011
Total90696

Merged error: 0b

Counts
96 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.6b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))
10.6b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))
10.6b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×associate-/l*
7×cbrt-prod
6×cbrt-undiv div-exp associate-/l/
4×pow1 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+
1×cbrt-div pow1/3
Counts
4 → 93
Calls
4 calls:
5.0ms
(cbrt (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
8.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))
8.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))
8.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series383.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
62.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))
64.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))
69.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify50.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03141014
11137864
25001846

prune339.0ms

Filtered
105 candidates to 83 candidates (79.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh033
Picked011
Done022
Total1056111

Merged error: 0b

Counts
111 → 6

regimes188.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0198
1198

end0.0ms

sample793.0ms

Algorithm
intervals
Results
514.0ms10421×body80valid