Details

Time bar (total: 2.3s)

sample20.0ms

Algorithm
intervals
Results
8.0ms337×body80valid

simplify117.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0144
1254
2483
3963
41533
52033
62473
74013
86803
911333
1018663
1132913
1247453
1350013

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

1.2b
(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y t) (- z x) x)

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(fma (/ y t) (- z x) x)

simplify42.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
04069
19362
227053
3130053
4500153

prune37.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
8.3b
(/ (* y (- z x)) t)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×expm1-log1p-u fma-def times-frac associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 88
Calls
3 calls:
11.0ms
(* y (- z x))
5.0ms
(+ x (/ (* y (- z x)) t))
11.0ms
(/ (* y (- z x)) t)

series121.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* y (- z x))
35.0ms
(+ x (/ (* y (- z x)) t))
51.0ms
(/ (* y (- z x)) t)

simplify53.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0377600
11715428
25003420

prune167.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ t (- z x))))
0.0b
(/ t (- z x))
6.5b
(/ y (/ t (- z x)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
106×*-un-lft-identity
104×add-sqr-sqrt
72×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u fma-def log1p-expm1-u
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 160
Calls
3 calls:
29.0ms
(+ x (/ y (/ t (- z x))))
6.0ms
(/ t (- z x))
9.0ms
(/ y (/ t (- z x)))

series117.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ x (/ y (/ t (- z x))))
31.0ms
(/ t (- z x))
52.0ms
(/ y (/ t (- z x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05511174
124011128
250011122

prune389.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z x) t)))
0.0b
(/ (- z x) t)
6.7b
(* y (/ (- z x) t))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
24×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×expm1-log1p-u fma-def associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 96
Calls
3 calls:
2.0ms
(+ x (* y (/ (- z x) t)))
9.0ms
(/ (- z x) t)
15.0ms
(* y (/ (- z x) t))

series110.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ x (* y (/ (- z x) t)))
25.0ms
(/ (- z x) t)
50.0ms
(* y (/ (- z x) t))

simplify43.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0353521
11438485
25001470

prune220.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073

end0.0ms

sample544.0ms

Algorithm
intervals
Results
273.0ms10571×body80valid