Details

Time bar (total: 4.8s)

sample26.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
1.0ms9×body1280valid
1.0ms11×body640valid
1.0ms13×body320valid
1.0ms11×body160valid
0.0ms1×body2560valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519125
645815
750015

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
3.8b
(fma (/ (- y z) (- a z)) (- t x) x)

rewrite15.0ms

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:
13.0ms
(/ (- y z) (- a z))
0.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

series171.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- y z) (- a z))
121.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

simplify65.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0265450
1729425
22562423
35002421

prune221.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* (- y z) (/ 1 (- a z)))
4.3b
(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-*l* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 105
Calls
3 calls:
6.0ms
(/ 1 (- a z))
27.0ms
(* (- y z) (/ 1 (- a z)))
0.0ms
(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

series210.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1 (- a z))
52.0ms
(* (- y z) (/ 1 (- a z)))
122.0ms
(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

simplify46.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0340602
11472525
25002481

prune298.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 3.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y z) (- a z))
1.5b
(* (- t x) (/ (- y z) (- a z)))
3.5b
(+ (* (- t x) (/ (- y z) (- a z))) x)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 126
Calls
3 calls:
12.0ms
(/ (- y z) (- a z))
35.0ms
(* (- t x) (/ (- y z) (- a z)))
12.0ms
(+ (* (- t x) (/ (- y z) (- a z))) x)

series322.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (- y z) (- a z))
115.0ms
(* (- t x) (/ (- y z) (- a z)))
155.0ms
(+ (* (- t x) (/ (- y z) (- a z))) x)

simplify63.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0490904
12053854
25003852

prune380.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 3.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.3b
(/ 1 (/ (- a z) (- y z)))
1.5b
(* (- t x) (/ 1 (/ (- a z) (- y z))))
3.5b
(+ (* (- t x) (/ 1 (/ (- a z) (- y z)))) x)

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
338×add-sqr-sqrt
326×*-un-lft-identity
158×add-cube-cbrt
98×associate-*r*
83×distribute-lft-out-- difference-of-squares
36×add-exp-log associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
11×flip3-- flip--
10×div-inv
8×associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×associate-*l* unswap-sqr
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u
3×cbrt-unprod
2×frac-times frac-2neg associate-*l/ clear-num associate-/l/
1×+-commutative pow-flip fma-def flip3-+ div-sub associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 353
Calls
4 calls:
12.0ms
(/ (- a z) (- y z))
18.0ms
(/ 1 (/ (- a z) (- y z)))
63.0ms
(* (- t x) (/ 1 (/ (- a z) (- y z))))
18.0ms
(+ (* (- t x) (/ 1 (/ (- a z) (- y z)))) x)

series539.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ (- a z) (- y z))
140.0ms
(/ 1 (/ (- a z) (- y z)))
203.0ms
(* (- t x) (/ 1 (/ (- a z) (- y z))))
147.0ms
(+ (* (- t x) (/ 1 (/ (- a z) (- y z)))) x)

simplify67.0ms

Algorithm
egg-herbie
Counts
365 → 365
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
010313100
150012800

prune850.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 3.5b

regimes378.0ms

Accuracy

23.9% (6.0b remaining)

Error of 9.7b against oracle of 3.7b and baseline of 11.6b

bsearch119.0ms

Steps
ItersRangePoint
11
9.185867048517993e+224
1.1690037944292812e+247
1.1134789946894111e+226
7
-3.446334398642131e+240
-3.9515387378738594e+238
-9.191459456486792e+238

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02911
12911

end0.0ms

sample697.0ms

Algorithm
intervals
Results
259.0ms7755×body80valid
62.0ms492×body640valid
43.0ms277×body1280valid
40.0ms395×body320valid
16.0ms263×body160valid
4.0ms19×body2560valid