Details

Time bar (total: 5.8s)

sample23.0ms

Algorithm
intervals
Results
8.0ms265×body80valid

simplify79.0ms

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: 2.1b

localize12.0ms

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

rewrite216.0ms

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:
90.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
68.0ms
(/ (+ (- t z) 1.0) a)
48.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series267.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
33.0ms
(/ (+ (- t z) 1.0) a)
135.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify72.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
07071950
126291888
250011887

prune401.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
2.3b
(* (/ (* (cbrt a) (cbrt a)) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) (cbrt a))))

rewrite410.0ms

Algorithm
rewrite-expression-head
Rules
525×times-frac
460×*-un-lft-identity
346×add-sqr-sqrt
287×cbrt-prod
265×associate-*r*
206×add-cube-cbrt
82×distribute-lft-out--
73×add-exp-log
60×distribute-lft-out
52×difference-of-squares
39×add-cbrt-cube
27×cbrt-undiv div-exp prod-exp cbrt-unprod
13×associate-*l*
12×cbrt-div unswap-sqr
9×associate-/r/
7×div-inv
6×pow1 flip3-+ flip-+
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 365
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
375.0ms
(* (/ (* (cbrt a) (cbrt a)) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) (cbrt a))))

series684.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt a)
173.0ms
(cbrt a)
177.0ms
(cbrt a)
154.0ms
(* (/ (* (cbrt a) (cbrt a)) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) (cbrt a))))

simplify85.0ms

Algorithm
egg-herbie
Counts
377 → 377
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
018907511
150017157

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (- y z) (/ a (+ (- t z) 1.0))))
0.0b
(/ a (+ (- t z) 1.0))
10.2b
(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
31×times-frac
30×add-sqr-sqrt
23×add-cube-cbrt
21×associate-*r*
14×distribute-lft-out
10×add-exp-log add-cbrt-cube
8×distribute-lft-out--
5×pow1 associate-*l* associate-/r* add-log-exp
4×associate-/r/
3×flip3-- flip-- associate-/l*
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
1×sub-neg frac-2neg diff-log associate-*r/ pow-prod-down clear-num *-commutative difference-of-squares
Counts
3 → 95
Calls
3 calls:
9.0ms
(- x (* (- y z) (/ a (+ (- t z) 1.0))))
35.0ms
(/ a (+ (- t z) 1.0))
88.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

series223.0ms

Counts
3 → 9
Calls
3 calls:
103.0ms
(- x (* (- y z) (/ a (+ (- t z) 1.0))))
36.0ms
(/ a (+ (- t z) 1.0))
84.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0408686
11779630
25001630

prune249.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ (- t z) 1.0))
0.0b
(- x (* (/ 1 (+ (- t z) 1.0)) (* (- y z) a)))
0.0b
(* (- y z) a)
11.5b
(* (/ 1 (+ (- t z) 1.0)) (* (- y z) a))

rewrite169.0ms

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:
35.0ms
(/ 1 (+ (- t z) 1.0))
6.0ms
(- x (* (/ 1 (+ (- t z) 1.0)) (* (- y z) a)))
21.0ms
(* (- y z) a)
103.0ms
(* (/ 1 (+ (- t z) 1.0)) (* (- y z) a))

series311.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ 1 (+ (- t z) 1.0))
122.0ms
(- x (* (/ 1 (+ (- t z) 1.0)) (* (- y z) a)))
30.0ms
(* (- y z) a)
118.0ms
(* (/ 1 (+ (- t z) 1.0)) (* (- y z) a))

simplify65.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0541888
12684770
25001737

prune262.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes178.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02020
12020

end0.0ms

sample587.0ms

Algorithm
intervals
Results
256.0ms8521×body80valid
0.0ms1×body320valid