Details

Time bar (total: 3.4s)

sample23.0ms

Algorithm
intervals
Results
8.0ms284×body80valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0175
1355
2634
31074
41694
52394
62884
73564
84074
95334
107554
1112564
1213024
1313044
1413044

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
2.2b
(fma (/ (- y z) (- a z)) t x)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
27.0ms
(/ (- y z) (- a z))
0.0ms
(fma (/ (- y z) (- a z)) t x)

series139.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- y z) (- a z))
87.0ms
(fma (/ (- y z) (- a z)) t x)

simplify59.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0258433
1705410
22399410
35001410

prune184.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
3.0b
(* (/ (- y z) (- a z)) t)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
27.0ms
(/ (- y z) (- a z))
46.0ms
(* (/ (- y z) (- a z)) t)

series157.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- y z) (- a z))
105.0ms
(* (/ (- y z) (- a z)) t)

simplify107.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune267.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- a z))
8.9b
(* (- y z) (/ t (- a z)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
12.0ms
(/ t (- a z))
48.0ms
(* (- y z) (/ t (- a z)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ t (- a z))
74.0ms
(* (- y z) (/ t (- a z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0301489
11365452
25001452

prune230.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) t)
0.4b
(/ 1 (/ (- a z) t))
8.9b
(* (- y z) (/ 1 (/ (- a z) t)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
240×times-frac
183×add-sqr-sqrt
171×*-un-lft-identity
117×add-cube-cbrt
62×associate-*r*
35×add-exp-log
26×distribute-lft-out-- difference-of-squares
22×associate-/r*
19×add-cbrt-cube
15×div-exp
10×div-inv
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×associate-*l* unswap-sqr
4×rec-exp 1-exp
3×expm1-log1p-u flip3-- flip-- cbrt-unprod log1p-expm1-u add-log-exp
2×frac-times frac-2neg associate-*l/ clear-num associate-/r/ associate-/l/
1×pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 241
Calls
3 calls:
17.0ms
(/ (- a z) t)
18.0ms
(/ 1 (/ (- a z) t))
68.0ms
(* (- y z) (/ 1 (/ (- a z) t)))

series208.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (- a z) t)
70.0ms
(/ 1 (/ (- a z) t))
108.0ms
(* (- y z) (/ 1 (/ (- a z) t)))

simplify95.0ms

Algorithm
egg-herbie
Counts
250 → 250
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07411730
139031523
250021343

prune510.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes145.0ms

Accuracy

72.3% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.3b

bsearch71.0ms

Steps
ItersRangePoint
6
1.5287852718634885e+18
1.5337862182512493e+19
1.5588416157288878e+18
10
-4.7160133496520454e-30
-4.3180699149458635e-40
-5.214740867201422e-31

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02610
12610

end0.0ms

sample613.0ms

Algorithm
intervals
Results
256.0ms8672×body80valid
0.0ms1×body1280valid