Details

Time bar (total: 2.2s)

sample28.0ms

Algorithm
intervals
Results
13.0ms348×body80valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (16.0ms)

IterNodesCost
0258
1508
21068
32088
43226
55206
614396
750026

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.6b

localize12.0ms

Local error

Found 1 expressions with local error:

10.7b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
2×cbrt-undiv div-exp associate-/l/
1×pow1 expm1-log1p-u frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 25
Calls
1 calls:
7.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series70.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify129.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0188253
1752208
24275205
35001205

prune85.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 2.0 (/ 1 (* t z)) (/ 2.0 t))
0.5b
(/ 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 t))
5.0ms
(/ 1 (* t z))

series67.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(fma 2.0 (/ 1 (* t z)) (/ 2.0 t))
14.0ms
(/ 1 (* t z))

simplify53.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0137178
1484150
21947144
35001144

prune110.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 2.0 (/ (/ 1 t) z) (/ 2.0 t))
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 t))
7.0ms
(/ (/ 1 t) z)

series67.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(fma 2.0 (/ (/ 1 t) z) (/ 2.0 t))
14.0ms
(/ (/ 1 t) z)

simplify80.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0343539
11174481
24009439
35001439

prune204.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 2.0 (* (/ 1 t) (/ 1 z)) (/ 2.0 t))
0.3b
(* (/ 1 t) (/ 1 z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log
40×add-sqr-sqrt
30×times-frac
22×*-un-lft-identity
16×add-cube-cbrt div-exp prod-exp
14×add-cbrt-cube
13×associate-*r* associate-*l*
9×unswap-sqr
8×rec-exp 1-exp
6×pow1
4×cbrt-undiv cbrt-unprod
3×pow-prod-down
2×expm1-log1p-u pow-flip log1p-expm1-u div-inv inv-pow add-log-exp
1×frac-times associate-*r/ associate-*l/ un-div-inv *-commutative fma-udef
Counts
2 → 82
Calls
2 calls:
1.0ms
(fma 2.0 (* (/ 1 t) (/ 1 z)) (/ 2.0 t))
12.0ms
(* (/ 1 t) (/ 1 z))

series69.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(fma 2.0 (* (/ 1 t) (/ 1 z)) (/ 2.0 t))
14.0ms
(* (/ 1 t) (/ 1 z))

simplify85.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0395457
11461367
24849331
35001330

prune204.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes102.0ms

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
0167
1167

end0.0ms

sample685.0ms

Algorithm
intervals
Results
415.0ms10513×body80valid