Details

Time bar (total: 5.5s)

sample22.0ms

Algorithm
intervals
Results
8.0ms273×body80valid

simplify78.0ms

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: 3.5b

localize13.0ms

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)
13.7b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite208.0ms

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:
86.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
64.0ms
(/ (+ (- t z) 1.0) a)
47.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series219.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
30.0ms
(/ (+ (- t z) 1.0) a)
112.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify71.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
07071950
126291888
250011887

prune385.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

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))
0.7b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite145.0ms

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))
44.0ms
(/ (- y z) (+ (- t z) 1.0))
91.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series229.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
42.0ms
(/ (- y z) (+ (- t z) 1.0))
109.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify49.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0436882
11450824
25001823

prune243.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0)))
0.0b
(/ z (+ (- t z) 1.0))
0.0b
(/ y (+ (- t z) 1.0))
0.7b
(* (- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0))) a)

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
186×*-un-lft-identity
82×times-frac
56×add-sqr-sqrt
44×distribute-lft-out--
40×distribute-lft-out
30×add-cube-cbrt
22×associate-*l*
12×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
8×difference-of-squares
6×pow1 distribute-rgt-out-- flip3-+ flip-+ div-inv associate-/l* add-log-exp
4×associate-*l/
3×associate-*r*
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num frac-sub flip-- sub-div
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 148
Calls
4 calls:
228.0ms
(- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0)))
34.0ms
(/ z (+ (- t z) 1.0))
34.0ms
(/ y (+ (- t z) 1.0))
717.0ms
(* (- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0))) a)

series234.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0)))
39.0ms
(/ z (+ (- t z) 1.0))
33.0ms
(/ y (+ (- t z) 1.0))
91.0ms
(* (- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0))) a)

simplify48.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04551246
116121174
250011171

prune323.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
0.0b
(/ (- y z) (+ (- t z) 1.0))
0.8b
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite333.0ms

Algorithm
rewrite-expression-head
Rules
1079×times-frac
929×*-un-lft-identity
570×add-sqr-sqrt
393×add-cube-cbrt
153×distribute-lft-out--
152×distribute-lft-out
83×difference-of-squares
48×div-inv
36×associate-/l*
31×associate-/r/
27×add-exp-log
18×associate-/r*
17×div-exp add-cbrt-cube
15×flip3-+ flip-+
9×cbrt-undiv
5×div-sub add-log-exp
3×pow1 associate-/l/
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip--
1×sub-neg diff-log associate--r-
Counts
3 → 545
Calls
3 calls:
165.0ms
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
42.0ms
(/ (- y z) (+ (- t z) 1.0))
78.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series237.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
43.0ms
(/ (- y z) (+ (- t z) 1.0))
118.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify105.0ms

Algorithm
egg-herbie
Counts
554 → 554
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
019257705
150027176

prune773.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes115.0ms

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
0159
1159

end0.0ms

sample598.0ms

Algorithm
intervals
Results
269.0ms8494×body80valid
0.0ms1×body1280valid
0.0ms1×body160valid