Details

Time bar (total: 2.9s)

sample29.0ms

Algorithm
intervals
Results
14.0ms350×body80valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (17.0ms)

IterNodesCost
0258
1508
21068
32088
43226
55206
614396
750026

prune11.0ms

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: 8.1b

Counts
2 → 2

localize18.0ms

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))
8.1b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
36×prod-diff
33×add-sqr-sqrt *-un-lft-identity
31×add-cube-cbrt
22×distribute-rgt-in associate-+r+ distribute-lft-in
13×add-exp-log add-cbrt-cube
8×pow1
5×associate-*r* add-log-exp
4×sub-neg prod-exp cbrt-unprod
3×expm1-log1p-u fma-def times-frac pow-prod-down log1p-expm1-u 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 → 109
Calls
3 calls:
6.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
9.0ms
(* (* z 2.0) (- 1.0 t))
8.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series174.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
51.0ms
(* (* z 2.0) (- 1.0 t))
79.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify83.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0518964
12247683
25002669

prune277.0ms

Filtered
118 candidates to 71 candidates (60.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1144118
Fresh011
Picked011
Done000
Total1146120

Merged error: 0.0b

Counts
120 → 6

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
0.5b
(/ 1 (* t z))

rewrite13.0ms

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))
6.0ms
(/ 1 (* t z))

series55.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
15.0ms
(/ 1 (* t z))

simplify62.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0142205
1515176
22187166
35001165

prune118.0ms

Filtered
46 candidates to 27 candidates (58.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New45146
Fresh134
Picked101
Done011
Total47552

Merged error: 0.0b

Counts
52 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (* t z))
7.9b
(cbrt (/ 1 (* t z)))
7.9b
(cbrt (/ 1 (* t z)))
7.9b
(cbrt (/ 1 (* t z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
15×add-exp-log
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×add-cbrt-cube
7×pow1
4×expm1-log1p-u div-exp log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3 prod-exp associate-/l*
2×cbrt-undiv rec-exp pow-flip 1-exp
1×frac-2neg pow-prod-down clear-num associate-/r* cbrt-unprod inv-pow
Counts
4 → 84
Calls
4 calls:
5.0ms
(/ 1 (* t z))
4.0ms
(cbrt (/ 1 (* t z)))
4.0ms
(cbrt (/ 1 (* t z)))
4.0ms
(cbrt (/ 1 (* t z)))

series255.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(/ 1 (* t z))
84.0ms
(cbrt (/ 1 (* t z)))
75.0ms
(cbrt (/ 1 (* t z)))
83.0ms
(cbrt (/ 1 (* t z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0177448
1570385
21957346
35001342

prune298.0ms

Filtered
96 candidates to 64 candidates (66.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh033
Picked011
Done011
Total965101

Merged error: 0.0b

Counts
101 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma z (- 1.0 t) 1)
0.4b
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
7.6b
(/ (fma z (- 1.0 t) 1) z)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 49
Calls
3 calls:
1.0ms
(fma z (- 1.0 t) 1)
1.0ms
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
4.0ms
(/ (fma z (- 1.0 t) 1) z)

series172.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(fma z (- 1.0 t) 1)
107.0ms
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
42.0ms
(/ (fma z (- 1.0 t) 1) z)

simplify53.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0156346
1396307
21684305
35002304

prune178.0ms

Filtered
58 candidates to 47 candidates (81.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New58058
Fresh022
Picked011
Done022
Total58563

Merged error: 0.0b

Counts
63 → 5

regimes212.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02317
12317

end0.0ms

sample700.0ms

Algorithm
intervals
Results
429.0ms10527×body80valid

Profiling

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