Details

Time bar (total: 2.5s)

sample18.0ms

Algorithm
intervals
Results
8.0ms297×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1243
2463
3713
4793
5793

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize5.0ms

Local error

Found 1 expressions with local error:

3.6b
(* x (- 1.0 (* y z)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
7.0ms
(* x (- 1.0 (* y z)))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* x (- 1.0 (* y z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0122127
1493111
21989111
35001111

prune56.0ms

Filtered
27 candidates to 17 candidates (63.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* y z))))
7.1b
(* x (- (* y z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*l* distribute-rgt-neg-out
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* x (- (* y z))))
4.0ms
(* x (- (* y z)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(+ (* x 1.0) (* x (- (* y z))))
25.0ms
(* x (- (* y z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0181204
11018178
25001174

prune97.0ms

Filtered
42 candidates to 32 candidates (76.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

2.4b
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
12.6b
(cbrt (- (* y z)))
12.6b
(cbrt (- (* y z)))
12.6b
(cbrt (- (* y z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×pow1 add-exp-log add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×add-log-exp
3×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 61
Calls
4 calls:
14.0ms
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
1.0ms
(cbrt (- (* y z)))
1.0ms
(cbrt (- (* y z)))
1.0ms
(cbrt (- (* y z)))

series433.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
93.0ms
(cbrt (- (* y z)))
92.0ms
(cbrt (- (* y z)))
93.0ms
(cbrt (- (* y z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0243521
1664462
22418421
35001421

prune219.0ms

Filtered
73 candidates to 63 candidates (86.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.2b
(* (cbrt x) (- (* y z)))
5.1b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*r* associate-*l*
4×add-log-exp
3×distribute-rgt-neg-out
2×pow1/3 *-commutative unswap-sqr
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
Counts
4 → 71
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
6.0ms
(* (cbrt x) (- (* y z)))
21.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

series500.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt x)
174.0ms
(cbrt x)
112.0ms
(* (cbrt x) (- (* y z)))
46.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

simplify51.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0231476
11253383
25001345

prune195.0ms

Filtered
83 candidates to 63 candidates (75.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes189.0ms

Accuracy

93.4% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03612
14912
25312
35312

end0.0ms

sample390.0ms

Algorithm
intervals
Results
192.0ms9637×body80valid