Details

Time bar (total: 4.5s)

sample15.0ms

Algorithm
intervals
Results
5.0ms268×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0123
1163
2183
3183

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (- x y) (- z y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
25×times-frac
13×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
21.0ms
(/ (- x y) (- z y))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ (- x y) (- z y))

simplify48.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0223354
1618340
22045340
35001340

prune97.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- z y))
0.0b
(/ x (- z y))
0.0b
(- (/ x (- z y)) (/ y (- z y)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
57×add-sqr-sqrt
48×times-frac
25×add-cube-cbrt
20×distribute-lft-out--
14×difference-of-squares
10×associate-/r*
8×associate-/r/
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×flip3-- flip-- add-log-exp
4×div-inv
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 103
Calls
3 calls:
11.0ms
(/ y (- z y))
11.0ms
(/ x (- z y))
82.0ms
(- (/ x (- z y)) (/ y (- z y)))

series156.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ y (- z y))
31.0ms
(/ x (- z y))
74.0ms
(- (/ x (- z y)) (/ y (- z y)))

simplify67.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0298616
1858594
22468594
35001594

prune212.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (- (/ x (- z y)) (/ y (- z y)))) (cbrt (- (/ x (- z y)) (/ y (- z y)))))
2.8b
(cbrt (- (/ x (- z y)) (/ y (- z y))))
2.8b
(cbrt (- (/ x (- z y)) (/ y (- z y))))
2.8b
(cbrt (- (/ x (- z y)) (/ y (- z y))))

rewrite592.0ms

Algorithm
rewrite-expression-head
Rules
337×*-un-lft-identity
174×times-frac
158×cbrt-prod
149×add-sqr-sqrt
134×distribute-lft-out--
52×cbrt-div
42×difference-of-squares
35×swap-sqr
29×add-cube-cbrt
28×associate-/r/
27×flip3-- flip--
21×distribute-rgt-out-- associate-*r* associate-*l*
16×frac-times
14×div-inv
13×frac-sub sub-div
11×pow1
9×pow1/3
6×add-exp-log
4×associate-*r/ associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 213
Calls
4 calls:
422.0ms
(* (cbrt (- (/ x (- z y)) (/ y (- z y)))) (cbrt (- (/ x (- z y)) (/ y (- z y)))))
51.0ms
(cbrt (- (/ x (- z y)) (/ y (- z y))))
51.0ms
(cbrt (- (/ x (- z y)) (/ y (- z y))))
50.0ms
(cbrt (- (/ x (- z y)) (/ y (- z y))))

series876.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(* (cbrt (- (/ x (- z y)) (/ y (- z y)))) (cbrt (- (/ x (- z y)) (/ y (- z y)))))
205.0ms
(cbrt (- (/ x (- z y)) (/ y (- z y))))
224.0ms
(cbrt (- (/ x (- z y)) (/ y (- z y))))
209.0ms
(cbrt (- (/ x (- z y)) (/ y (- z y))))

simplify142.0ms

Algorithm
egg-herbie
Counts
225 → 225
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
04173327
112313232
243602940
350032924

prune559.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

6.3b
(- (* z z) (* y y))
8.7b
(/ x (- (* z z) (* y y)))
9.7b
(* (+ z y) (- (/ x (- (* z z) (* y y))) (/ y (- (* z z) (* y y)))))
21.6b
(/ y (- (* z z) (* y y)))

rewrite315.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
38×*-un-lft-identity
36×times-frac
26×add-cube-cbrt
15×associate-*r* difference-of-squares
10×add-exp-log add-cbrt-cube
8×frac-times flip3-- associate-/r* associate-/r/ flip--
6×pow1 associate-/l* add-log-exp
5×flip3-+ flip-+ distribute-lft-out--
4×associate-*r/ associate-*l* div-inv
3×sub-neg distribute-rgt-out-- frac-sub sub-div
2×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp associate-*l/ clear-num
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
4 → 128
Calls
4 calls:
8.0ms
(- (* z z) (* y y))
13.0ms
(/ x (- (* z z) (* y y)))
277.0ms
(* (+ z y) (- (/ x (- (* z z) (* y y))) (/ y (- (* z z) (* y y)))))
12.0ms
(/ y (- (* z z) (* y y)))

series330.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- (* z z) (* y y))
49.0ms
(/ x (- (* z z) (* y y)))
198.0ms
(* (+ z y) (- (/ x (- (* z z) (* y y))) (/ y (- (* z z) (* y y)))))
52.0ms
(/ y (- (* z z) (* y y)))

simplify82.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05491300
129701213
250021199

prune292.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075

end0.0ms

sample379.0ms

Algorithm
intervals
Results
154.0ms8367×body80valid