Details

Time bar (total: 4.9s)

sample25.0ms

Algorithm
intervals
Results
8.0ms261×body80valid
1.0ms7×body1280valid
1.0ms8×body640valid
1.0ms9×body320valid
1.0ms13×body160valid

simplify92.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519125
645815
750015

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
2.9b
(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:
12.0ms
(/ (- y z) (- a z))
0.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

series170.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- y z) (- a z))
117.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

simplify64.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0265450
1729425
22562423
35002421

prune207.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y z) (- a z))
1.3b
(* (/ (- y z) (- a z)) (- t x))
2.8b
(+ (* (/ (- y z) (- a z)) (- t x)) x)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
97×*-un-lft-identity
51×add-cube-cbrt times-frac
36×prod-diff
31×associate-*l*
23×distribute-lft-out-- difference-of-squares
22×distribute-rgt-in associate-+l+ distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*r* associate-/r* flip-- associate-/l* add-log-exp
4×sub-neg associate-/r/
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 170
Calls
3 calls:
12.0ms
(/ (- y z) (- a z))
35.0ms
(* (/ (- y z) (- a z)) (- t x))
18.0ms
(+ (* (/ (- y z) (- a z)) (- t x)) x)

series534.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (- y z) (- a z))
310.0ms
(* (/ (- y z) (- a z)) (- t x))
176.0ms
(+ (* (/ (- y z) (- a z)) (- t x)) x)

simplify85.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06821497
126571254
250021252

prune456.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- y z) (- a z))
0.0b
(/ (- y z) (- a z))
0.3b
(* (/ (- y z) (- a z)) t)
3.0b
(fma (- x) (/ (- y z) (- a z)) x)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
113×add-sqr-sqrt
108×*-un-lft-identity
76×times-frac
40×add-cube-cbrt
34×distribute-lft-out-- difference-of-squares
31×associate-*l*
13×add-exp-log add-cbrt-cube
10×associate-/r* associate-/l*
6×pow1 associate-/r/
5×flip3-- flip--
4×expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
3×cbrt-undiv div-exp associate-*r* div-inv
2×frac-2neg div-sub prod-exp clear-num cbrt-unprod unswap-sqr
1×pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 170
Calls
4 calls:
12.0ms
(/ (- y z) (- a z))
12.0ms
(/ (- y z) (- a z))
26.0ms
(* (/ (- y z) (- a z)) t)
0.0ms
(fma (- x) (/ (- y z) (- a z)) x)

series279.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ (- y z) (- a z))
53.0ms
(/ (- y z) (- a z))
99.0ms
(* (/ (- y z) (- a z)) t)
79.0ms
(fma (- x) (/ (- y z) (- a z)) x)

simplify55.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03941111
112301045
250011044

prune536.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- y z) (- a z))
0.3b
(* (/ (- y z) (- a z)) t)
0.4b
(/ 1 (/ (- a z) (- y z)))
3.0b
(fma (- x) (/ 1 (/ (- a z) (- y z))) x)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
244×times-frac
233×add-sqr-sqrt
228×*-un-lft-identity
104×add-cube-cbrt
62×distribute-lft-out-- difference-of-squares
36×associate-/r*
31×associate-*l*
22×add-exp-log
16×add-cbrt-cube
13×associate-/r/
9×div-exp
8×associate-/l*
7×pow1 flip3-- flip-- div-inv
5×cbrt-undiv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r*
2×rec-exp frac-2neg 1-exp prod-exp clear-num cbrt-unprod associate-/l/ unswap-sqr
1×pow-flip div-sub pow-prod-down associate-*l/ *-commutative fma-udef inv-pow
Counts
4 → 266
Calls
4 calls:
13.0ms
(/ (- y z) (- a z))
29.0ms
(* (/ (- y z) (- a z)) t)
15.0ms
(/ 1 (/ (- a z) (- y z)))
0.0ms
(fma (- x) (/ 1 (/ (- a z) (- y z))) x)

series406.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ (- y z) (- a z))
100.0ms
(* (/ (- y z) (- a z)) t)
144.0ms
(/ 1 (/ (- a z) (- y z)))
113.0ms
(fma (- x) (/ 1 (/ (- a z) (- y z))) x)

simplify97.0ms

Algorithm
egg-herbie
Counts
278 → 278
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
08352211
135591981
250021821

prune614.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.7b

regimes225.0ms

Accuracy

3.2% (4.1b remaining)

Error of 7.4b against oracle of 3.3b and baseline of 7.5b

bsearch52.0ms

Steps
ItersRangePoint
9
-6.363389613672044e+225
-1.16317095618376e+217
-6.195549894709601e+225

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02525
12525

end0.0ms

sample727.0ms

Algorithm
intervals
Results
273.0ms7822×body80valid
58.0ms477×body640valid
48.0ms450×body320valid
34.0ms223×body1280valid
18.0ms289×body160valid
4.0ms20×body2560valid