Details

Time bar (total: 5.6s)

sample28.0ms

Algorithm
intervals
Results
10.0ms271×body80valid

simplify131.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0248
1438
2758
31208
41568
51898
62658
74518
810238
936328
1050018

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.0b
(+ y (* z (- b y)))
0.5b
(+ (* x y) (* z (- t a)))
23.8b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
54×prod-diff
53×*-un-lft-identity
51×add-cube-cbrt
44×associate-+r+
33×distribute-rgt-in distribute-lft-in
9×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1 sub-neg
5×associate-*r*
4×expm1-log1p-u fma-def flip3-+ flip-+ log1p-expm1-u
3×associate-*l* associate-/r* associate-/l*
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 153
Calls
4 calls:
23.0ms
(* z (- b y))
13.0ms
(+ y (* z (- b y)))
13.0ms
(+ (* x y) (* z (- t a)))
35.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series477.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* z (- b y))
32.0ms
(+ y (* z (- b y)))
48.0ms
(+ (* x y) (* z (- t a)))
357.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify75.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06021288
12282956
25001937

prune502.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 24.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.5b
(+ (fma z b y) (* z (- y)))
0.5b
(+ (* x y) (* z (- t a)))
23.8b
(/ (+ (* x y) (* z (- t a))) (+ (fma z b y) (* z (- y))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
22×associate-+r+
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×fma-def flip3-+ flip-+
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
2×+-commutative sub-neg sum-log associate-/r/ distribute-rgt-neg-out associate-/l/
1×cbrt-undiv associate-+l+ frac-2neg div-exp unsub-neg clear-num fma-udef div-inv
Counts
3 → 88
Calls
3 calls:
6.0ms
(+ (fma z b y) (* z (- y)))
13.0ms
(+ (* x y) (* z (- t a)))
34.0ms
(/ (+ (* x y) (* z (- t a))) (+ (fma z b y) (* z (- y))))

series445.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (fma z b y) (* z (- y)))
48.0ms
(+ (* x y) (* z (- t a)))
361.0ms
(/ (+ (* x y) (* z (- t a))) (+ (fma z b y) (* z (- y))))

simplify51.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0417854
11471711
25002701

prune372.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 24.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.5b
(+ (* z b) (fma z (- y) y))
0.5b
(+ (* x y) (* z (- t a)))
23.8b
(/ (+ (* x y) (* z (- t a))) (+ (* z b) (fma z (- y) y)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×flip3-+ flip-+
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
2×+-commutative sub-neg fma-def sum-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
3 → 84
Calls
3 calls:
8.0ms
(+ (* z b) (fma z (- y) y))
15.0ms
(+ (* x y) (* z (- t a)))
38.0ms
(/ (+ (* x y) (* z (- t a))) (+ (* z b) (fma z (- y) y)))

series448.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (* z b) (fma z (- y) y))
51.0ms
(+ (* x y) (* z (- t a)))
365.0ms
(/ (+ (* x y) (* z (- t a))) (+ (* z b) (fma z (- y) y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0424847
11288724
25001691

prune343.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 24.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z y))
0.2b
(/ 1 (/ (fma b z (- y (* z y))) (fma x y (* z (- t a)))))
23.8b
(/ (fma b z (- y (* z y))) (fma x y (* z (- t a))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
56×*-un-lft-identity
55×add-sqr-sqrt add-cube-cbrt
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u fma-neg prod-diff log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg flip3-- distribute-rgt-out-- pow-flip diff-log associate-/r/ flip-- inv-pow
Counts
3 → 128
Calls
3 calls:
6.0ms
(- y (* z y))
10.0ms
(/ 1 (/ (fma b z (- y (* z y))) (fma x y (* z (- t a)))))
5.0ms
(/ (fma b z (- y (* z y))) (fma x y (* z (- t a))))

series720.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- y (* z y))
566.0ms
(/ 1 (/ (fma b z (- y (* z y))) (fma x y (* z (- t a)))))
121.0ms
(/ (fma b z (- y (* z y))) (fma x y (* z (- t a))))

simplify60.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04171619
116491471
250011393

prune348.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 11.2b

regimes388.0ms

Accuracy

33% (8.1b remaining)

Error of 18.9b against oracle of 10.8b and baseline of 22.8b

bsearch92.0ms

Steps
ItersRangePoint
11
7.50002489248219e+113
1.7739205624069445e+133
1.2922297347570793e+133
6
-1.37139874092951e+77
-2.4806166659240804e+76
-5.5863937840112153e+76

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03212
13212

end0.0ms

sample734.0ms

Algorithm
intervals
Results
326.0ms8417×body80valid