Details

Time bar (total: 4.3s)

sample24.0ms

Algorithm
intervals
Results
11.0ms276×body80valid

simplify74.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
11.0b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
208×*-un-lft-identity
188×times-frac
125×add-sqr-sqrt
76×add-cube-cbrt
39×distribute-lft-out--
36×distribute-lft-out
23×difference-of-squares
19×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 flip3-- div-sub flip-- associate-/l/
1×sub-neg frac-2neg diff-log clear-num associate-/r/ associate--r-
Counts
2 → 154
Calls
2 calls:
31.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
13.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series207.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
121.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify71.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06531705
124041657
250031656

prune330.0ms

Filtered
160 candidates to 93 candidates (58.1%)
Pruning

5 alts after pruning (4 fresh and 1 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))
0.5b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite35.0ms

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:
2.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
10.0ms
(/ (- y z) (+ (- t z) 1.0))
17.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series257.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
51.0ms
(/ (- y z) (+ (- t z) 1.0))
121.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify47.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0436882
11450824
25001823

prune254.0ms

Filtered
123 candidates to 77 candidates (62.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

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))
0.6b
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite183.0ms

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:
99.0ms
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
10.0ms
(/ (- y z) (+ (- t z) 1.0))
28.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series265.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
49.0ms
(/ (- y z) (+ (- t z) 1.0))
127.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify116.0ms

Algorithm
egg-herbie
Counts
554 → 554
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
019257705
150027176

prune849.0ms

Filtered
554 candidates to 224 candidates (40.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a)))
0.0b
(/ 1 (+ (- t z) 1.0))
0.2b
(* (- y z) (/ 1 (+ (- t z) 1.0)))
0.6b
(/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
82×add-exp-log
78×*-un-lft-identity
63×times-frac
49×add-sqr-sqrt
42×div-exp
38×add-cube-cbrt
32×add-cbrt-cube
21×associate-*r*
20×prod-exp
18×associate-/r*
14×distribute-lft-out
13×cbrt-undiv
11×rec-exp 1-exp
9×distribute-lft-out--
7×pow1
6×cbrt-unprod associate-/l/ add-log-exp
5×flip3-- associate-*l* associate-/r/ flip-- div-inv
4×frac-times associate-*l/ associate-/l*
3×unswap-sqr
2×frac-2neg flip3-+ associate-*r/ clear-num un-div-inv flip-+ difference-of-squares
1×sub-neg pow-flip diff-log pow-prod-down *-commutative inv-pow
Counts
4 → 175
Calls
4 calls:
8.0ms
(- x (/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a)))
8.0ms
(/ 1 (+ (- t z) 1.0))
16.0ms
(* (- y z) (/ 1 (+ (- t z) 1.0)))
17.0ms
(/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a))

series289.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(- x (/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a)))
35.0ms
(/ 1 (+ (- t z) 1.0))
51.0ms
(* (- y z) (/ 1 (+ (- t z) 1.0)))
119.0ms
(/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a))

simplify79.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
08361419
140131157
250011083

prune315.0ms

Filtered
187 candidates to 98 candidates (52.4%)
Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes167.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample547.0ms

Algorithm
intervals
Results
286.0ms8487×body80valid
0.0ms2×body320valid