Details

Time bar (total: 4.3s)

sample22.0ms

Algorithm
intervals
Results
7.0ms274×body80valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1586
21076
31886
43646
57226
610676
714526
819636
921436
1021456
1121456

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b
(/ (+ (- t z) 1.0) a)
9.9b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
239×*-un-lft-identity
203×times-frac
136×add-sqr-sqrt
87×add-cube-cbrt
44×distribute-lft-out
43×distribute-lft-out--
23×difference-of-squares
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×flip3-- frac-2neg clear-num flip--
1×associate-+l- sub-neg flip3-+ diff-log associate-/r/ flip-+ associate--r-
Counts
3 → 192
Calls
3 calls:
85.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
63.0ms
(/ (+ (- t z) 1.0) a)
52.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series220.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
31.0ms
(/ (+ (- t z) 1.0) a)
113.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify72.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
07071950
126291888
250011887

prune390.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b
(/ (- y z) (+ (- t z) 1.0))
1.2b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
54×add-sqr-sqrt
51×times-frac
31×associate-*l*
27×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×associate-*r*
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 114
Calls
3 calls:
5.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
45.0ms
(/ (- y z) (+ (- t z) 1.0))
92.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series240.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
48.0ms
(/ (- y z) (+ (- t z) 1.0))
112.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify46.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0436882
11450824
25001823

prune252.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (* (- y z) (/ 1 (+ (- t z) 1.0))) a))
0.0b
(/ 1 (+ (- t z) 1.0))
0.2b
(* (- y z) (/ 1 (+ (- t z) 1.0)))
1.2b
(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
34×add-sqr-sqrt
32×add-exp-log times-frac
25×add-cube-cbrt
24×associate-*r*
20×add-cbrt-cube
14×distribute-lft-out
13×prod-exp
12×pow1
10×associate-*l/
8×distribute-lft-out--
7×cbrt-unprod
6×div-exp associate-*l* add-log-exp
5×flip3-- associate-/r* flip--
4×frac-times pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×flip3-+ associate-*r/ un-div-inv *-commutative flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log clear-num inv-pow difference-of-squares
Counts
4 → 131
Calls
4 calls:
5.0ms
(- x (* (* (- y z) (/ 1 (+ (- t z) 1.0))) a))
35.0ms
(/ 1 (+ (- t z) 1.0))
88.0ms
(* (- y z) (/ 1 (+ (- t z) 1.0)))
109.0ms
(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

series278.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- x (* (* (- y z) (/ 1 (+ (- t z) 1.0))) a))
33.0ms
(/ 1 (+ (- t z) 1.0))
48.0ms
(* (- y z) (/ 1 (+ (- t z) 1.0)))
112.0ms
(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

simplify62.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0510939
12283794
25002752

prune269.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (- y z) (- (+ (* 1.0 (/ 1 a)) (/ t a)) (/ z a))))
0.0b
(+ (* 1.0 (/ 1 a)) (/ t a))
1.2b
(- (+ (* 1.0 (/ 1 a)) (/ t a)) (/ z a))
9.9b
(/ (- y z) (- (+ (* 1.0 (/ 1 a)) (/ t a)) (/ z a)))

rewrite424.0ms

Algorithm
rewrite-expression-head
Rules
71×add-sqr-sqrt
47×*-un-lft-identity
38×times-frac
23×difference-of-squares
17×add-cube-cbrt
15×distribute-lft-out--
13×add-log-exp
8×frac-sub
6×add-exp-log frac-add associate-/r* associate-/r/ add-cbrt-cube
5×associate-/l*
4×pow1 flip3-- flip--
3×flip3-+ diff-log associate-*r/ un-div-inv flip-+
2×sub-neg div-sub sum-log div-inv associate-/l/
1×cbrt-undiv +-commutative distribute-rgt-out frac-2neg div-exp associate--l+ clear-num associate--r-
Counts
4 → 113
Calls
4 calls:
178.0ms
(- x (/ (- y z) (- (+ (* 1.0 (/ 1 a)) (/ t a)) (/ z a))))
14.0ms
(+ (* 1.0 (/ 1 a)) (/ t a))
113.0ms
(- (+ (* 1.0 (/ 1 a)) (/ t a)) (/ z a))
114.0ms
(/ (- y z) (- (+ (* 1.0 (/ 1 a)) (/ t a)) (/ z a)))

series219.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(- x (/ (- y z) (- (+ (* 1.0 (/ 1 a)) (/ t a)) (/ z a))))
23.0ms
(+ (* 1.0 (/ 1 a)) (/ t a))
27.0ms
(- (+ (* 1.0 (/ 1 a)) (/ t a)) (/ z a))
68.0ms
(/ (- y z) (- (+ (* 1.0 (/ 1 a)) (/ t a)) (/ z a)))

simplify53.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
05371555
117331475
250011447

prune321.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample601.0ms

Algorithm
intervals
Results
254.0ms8539×body80valid
0.0ms2×body1280valid
0.0ms1×body320valid