Details

Time bar (total: 4.8s)

sample21.0ms

Algorithm
intervals
Results
9.0ms282×body80valid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

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: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
1.5b
(fma (/ (- y z) (- a z)) t x)

rewrite12.0ms

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:
9.0ms
(/ (- y z) (- a z))
1.0ms
(fma (/ (- y z) (- a z)) t x)

series135.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- y z) (- a z))
84.0ms
(fma (/ (- y z) (- a z)) t x)

simplify61.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0258433
1705410
22399410
35001410

prune196.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.3b
(/ 1 (/ (- a z) (- y z)))
1.5b
(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×pow-flip div-sub fma-udef inv-pow
Counts
3 → 214
Calls
3 calls:
9.0ms
(/ (- a z) (- y z))
12.0ms
(/ 1 (/ (- a z) (- y z)))
1.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

series393.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (- a z) (- y z))
146.0ms
(/ 1 (/ (- a z) (- y z)))
196.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify79.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06201891
127641708
250021537

prune410.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- a z))
12.0b
(* (/ t (- a z)) (- y z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
50×*-un-lft-identity
34×add-cube-cbrt
31×times-frac
21×associate-*l*
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*r* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 109
Calls
2 calls:
6.0ms
(/ t (- a z))
14.0ms
(* (/ t (- a z)) (- y z))

series193.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ t (- a z))
162.0ms
(* (/ t (- a z)) (- y z))

simplify58.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0472839
11987675
25001669

prune297.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt t)
0.7b
(cbrt t)
1.5b
(* (/ (* (cbrt t) (cbrt t)) 1) (* (/ (cbrt t) (- a z)) (- y z)))
3.1b
(* (/ (cbrt t) (- a z)) (- y z))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
76×*-un-lft-identity
66×add-exp-log
62×add-cube-cbrt
55×distribute-rgt-in distribute-lft-in
54×prod-diff
43×associate-*l*
35×times-frac add-cbrt-cube
33×prod-exp
22×cbrt-prod
20×cbrt-unprod
18×div-exp
11×pow1 frac-times associate-*r/
10×cbrt-undiv
7×flip3-- flip-- distribute-lft-out-- difference-of-squares
6×sub-neg 1-exp associate-*r*
4×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow1/3 associate-/r/ *-commutative div-inv
Counts
4 → 211
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
20.0ms
(* (/ (* (cbrt t) (cbrt t)) 1) (* (/ (cbrt t) (- a z)) (- y z)))
20.0ms
(* (/ (cbrt t) (- a z)) (- y z))

series1.1s

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt t)
197.0ms
(cbrt t)
188.0ms
(* (/ (* (cbrt t) (cbrt t)) 1) (* (/ (cbrt t) (- a z)) (- y z)))
519.0ms
(* (/ (cbrt t) (- a z)) (- y z))

simplify52.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010432786
150011899

prune724.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes211.0ms

Accuracy

63.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.5b

bsearch86.0ms

Steps
ItersRangePoint
10
2.1899978042983017e-87
1.2566252365057735e-76
3.2416800356080724e-85
7
-3.140129367293724e-49
-3.878138219552622e-51
-8.68177067188889e-50

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911
13111
23111

end0.0ms

sample531.0ms

Algorithm
intervals
Results
278.0ms8774×body80valid
0.0ms1×body1280valid