Details

Time bar (total: 3.1s)

sample18.0ms

Algorithm
intervals
Results
8.0ms318×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1263
2563
31373
42293
52893
63793
75823
88783
911933
1012343
1112343

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (- 1.0 z))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
5×associate-*r*
4×frac-times associate-*l*
3×pow1 add-exp-log add-cube-cbrt flip3-- flip3-+ add-cbrt-cube flip-- flip-+
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ associate-*l/
1×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 33
Calls
1 calls:
9.0ms
(* (+ x y) (- 1.0 z))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(* (+ x y) (- 1.0 z))

simplify30.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0240207
1997192
25001190

prune66.0ms

Filtered
36 candidates to 25 candidates (69.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New33336
Fresh000
Picked011
Done000
Total33437

Merged error: 0b

Counts
37 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
0.3b
(cbrt (- 1.0 z))
0.3b
(cbrt (- 1.0 z))
0.3b
(cbrt (- 1.0 z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
11.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
3.0ms
(cbrt (- 1.0 z))
3.0ms
(cbrt (- 1.0 z))
3.0ms
(cbrt (- 1.0 z))

series395.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
95.0ms
(cbrt (- 1.0 z))
96.0ms
(cbrt (- 1.0 z))
94.0ms
(cbrt (- 1.0 z))

simplify146.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (131.0ms)

IterNodesCost
0316847
11003807
24432750
35001746

prune251.0ms

Filtered
113 candidates to 81 candidates (71.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done011
Total1134117

Merged error: 0b

Counts
117 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
10.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))

series560.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(cbrt (+ x y))
133.0ms
(cbrt (+ x y))
128.0ms
(cbrt (+ x y))
168.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))

simplify137.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (129.0ms)

IterNodesCost
0246671
1888634
24196584
35001580

prune220.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh011
Picked011
Done022
Total1074111

Merged error: 0b

Counts
111 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 z))
0.0b
(sqrt (- 1.0 z))
0.0b
(* (+ x y) (sqrt (- 1.0 z)))
0.1b
(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
32×frac-times
25×add-sqr-sqrt
23×flip3-- flip--
21×*-un-lft-identity sqrt-prod
16×associate-*r* associate-*l/
13×pow1
12×flip3-+ flip-+
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
5×associate-*l*
4×pow-prod-down prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
1×distribute-lft-out
Counts
4 → 116
Calls
4 calls:
3.0ms
(sqrt (- 1.0 z))
4.0ms
(sqrt (- 1.0 z))
12.0ms
(* (+ x y) (sqrt (- 1.0 z)))
15.0ms
(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

series179.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(sqrt (- 1.0 z))
37.0ms
(sqrt (- 1.0 z))
75.0ms
(* (+ x y) (sqrt (- 1.0 z)))
34.0ms
(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04901066
11822952
25001940

prune256.0ms

Filtered
128 candidates to 89 candidates (69.5%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1280128
Fresh000
Picked011
Done033
Total1284132

Merged error: 0b

Counts
132 → 4

regimes105.0ms

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
093
193

end0.0ms

sample450.0ms

Algorithm
intervals
Results
249.0ms10179×body80valid

Profiling

Loading profile data...