Details

Time bar (total: 4.4s)

sample30.0ms

Algorithm
intervals
Results
17.0ms271×body80valid

simplify71.0ms

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: 1.3b

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)
7.9b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite135.0ms

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:
61.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
35.0ms
(/ (+ (- t z) 1.0) a)
27.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series249.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
36.0ms
(/ (+ (- t z) 1.0) a)
125.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify71.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
07071950
126291888
250011887

prune417.0ms

Pruning

3 alts after pruning (3 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))
1.5b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite82.0ms

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))
23.0ms
(/ (- y z) (+ (- t z) 1.0))
52.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series261.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
48.0ms
(/ (- y z) (+ (- t z) 1.0))
126.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify45.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0436882
11450824
25001823

prune252.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (- y z) (- (/ t a) (/ (- z 1.0) a))))
0.0b
(/ (- z 1.0) a)
1.2b
(- (/ t a) (/ (- z 1.0) a))
7.9b
(/ (- y z) (- (/ t a) (/ (- z 1.0) a)))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
225×*-un-lft-identity
203×times-frac
193×add-sqr-sqrt
91×distribute-lft-out--
64×add-cube-cbrt
50×difference-of-squares
18×associate-/r*
16×div-inv
10×associate-/l*
8×add-exp-log add-cbrt-cube add-log-exp
7×distribute-rgt-out--
5×flip3-- flip--
4×pow1 div-sub associate-/r/ associate-/l/
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num frac-sub sub-div associate--r-
Counts
4 → 195
Calls
4 calls:
89.0ms
(- x (/ (- y z) (- (/ t a) (/ (- z 1.0) a))))
7.0ms
(/ (- z 1.0) a)
26.0ms
(- (/ t a) (/ (- z 1.0) a))
52.0ms
(/ (- y z) (- (/ t a) (/ (- z 1.0) a)))

series275.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(- x (/ (- y z) (- (/ t a) (/ (- z 1.0) a))))
26.0ms
(/ (- z 1.0) a)
30.0ms
(- (/ t a) (/ (- z 1.0) a))
124.0ms
(/ (- y z) (- (/ t a) (/ (- z 1.0) a)))

simplify71.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06931961
123131903
250021902

prune660.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (/ 1 (+ (- t z) 1.0)) (* (- y z) a)))
0.0b
(* (- y z) a)
0.0b
(/ 1 (+ (- t z) 1.0))
8.9b
(* (/ 1 (+ (- t z) 1.0)) (* (- y z) a))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
32×add-exp-log
30×times-frac
29×add-sqr-sqrt
26×associate-*l*
25×add-cube-cbrt
20×add-cbrt-cube
14×distribute-lft-out
13×prod-exp
12×pow1
8×distribute-lft-out--
7×associate-*l/ cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×flip3-- associate-*r* pow-prod-down associate-/r/ flip--
3×cbrt-undiv rec-exp 1-exp associate-/l*
2×frac-times flip3-+ associate-*r/ *-commutative flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log clear-num inv-pow difference-of-squares unswap-sqr
Counts
4 → 124
Calls
4 calls:
2.0ms
(- x (* (/ 1 (+ (- t z) 1.0)) (* (- y z) a)))
10.0ms
(* (- y z) a)
20.0ms
(/ 1 (+ (- t z) 1.0))
52.0ms
(* (/ 1 (+ (- t z) 1.0)) (* (- y z) a))

series287.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(- x (* (/ 1 (+ (- t z) 1.0)) (* (- y z) a)))
27.0ms
(* (- y z) a)
41.0ms
(/ 1 (+ (- t z) 1.0))
108.0ms
(* (/ 1 (+ (- t z) 1.0)) (* (- y z) a))

simplify66.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0541888
12684770
25001737

prune252.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.2b 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

sample813.0ms

Algorithm
intervals
Results
556.0ms8510×body80valid
0.0ms1×body640valid
0.0ms1×body320valid