Details

Time bar (total: 3.4s)

sample22.0ms

Algorithm
intervals
Results
10.0ms271×body80valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 1.8b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
10.3b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
236×*-un-lft-identity
200×times-frac
126×add-sqr-sqrt
86×add-cube-cbrt
44×distribute-lft-out
42×distribute-lft-out--
22×associate-/r*
20×difference-of-squares
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 frac-2neg div-sub clear-num add-log-exp
1×associate-+l- flip3-- flip3-+ associate-/r/ flip-- flip-+
Counts
2 → 175
Calls
2 calls:
14.0ms
(/ (+ (- t z) 1.0) a)
23.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series224.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (+ (- t z) 1.0) a)
193.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify64.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06291758
124231698
250031697

prune375.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (+ (- t z) 1.0))
2.3b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
53×add-sqr-sqrt
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×associate-*r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 102
Calls
2 calls:
10.0ms
(/ (- y z) (+ (- t z) 1.0))
17.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series172.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- y z) (+ (- t z) 1.0))
122.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify39.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0377755
11255699
25002697

prune221.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0)))
0.0b
(/ y (+ (- t z) 1.0))
0.0b
(/ z (+ (- t z) 1.0))
2.3b
(* (- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0))) a)

rewrite92.0ms

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:
34.0ms
(- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0)))
8.0ms
(/ y (+ (- t z) 1.0))
7.0ms
(/ z (+ (- t z) 1.0))
36.0ms
(* (- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0))) a)

series269.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0)))
34.0ms
(/ y (+ (- t z) 1.0))
48.0ms
(/ z (+ (- t z) 1.0))
103.0ms
(* (- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0))) a)

simplify46.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
04551246
116121174
250011171

prune358.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ (- t z) 1.0))
0.2b
(* (- y z) (/ 1 (+ (- t z) 1.0)))
2.3b
(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
33×add-sqr-sqrt
32×times-frac
31×add-exp-log
24×add-cube-cbrt associate-*r*
19×add-cbrt-cube
14×distribute-lft-out
13×prod-exp
11×pow1
10×associate-*l/
8×distribute-lft-out--
7×cbrt-unprod
6×div-exp associate-*l*
5×associate-/r*
4×frac-times flip3-- pow-prod-down associate-/r/ flip--
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×flip3-+ associate-*r/ un-div-inv *-commutative flip-+ div-inv
1×pow-flip frac-2neg clear-num inv-pow difference-of-squares
Counts
3 → 119
Calls
3 calls:
8.0ms
(/ 1 (+ (- t z) 1.0))
17.0ms
(* (- y z) (/ 1 (+ (- t z) 1.0)))
16.0ms
(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

series267.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(/ 1 (+ (- t z) 1.0))
74.0ms
(* (- y z) (/ 1 (+ (- t z) 1.0)))
130.0ms
(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

simplify53.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0451795
12067655
25001613

prune225.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes153.0ms

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

sample525.0ms

Algorithm
intervals
Results
281.0ms8485×body80valid
0.0ms1×body640valid
0.0ms1×body160valid