Details

Time bar (total: 2.6s)

sample15.0ms

Algorithm
intervals
Results
6.0ms304×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: 3.4b

localize5.0ms

Local error

Found 1 expressions with local error:

3.2b
(* 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:
8.0ms
(* x (- 1.0 (* y z)))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* x (- 1.0 (* y z)))

simplify55.0ms

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

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* y z))))
6.7b
(* x (- (* y z)))

rewrite8.0ms

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:
58.0ms
(+ (* x 1.0) (* x (- (* y z))))
25.0ms
(* x (- (* y z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0181204
11018178
25001174

prune100.0ms

Filtered
42 candidates to 32 candidates (76.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
3.4b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))
3.4b
(* (cbrt x) (- (* y z)))

rewrite30.0ms

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)
21.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))
6.0ms
(* (cbrt x) (- (* y z)))

series516.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
180.0ms
(cbrt x)
46.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))
114.0ms
(* (cbrt x) (- (* y z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0231476
11255383
25002345

prune221.0ms

Filtered
83 candidates to 63 candidates (75.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

6.7b
(* x (- (* y z)))
11.8b
(cbrt (* x (- (* y z))))
11.8b
(cbrt (* x (- (* y z))))
11.8b
(cbrt (* x (- (* y z))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube
4×add-log-exp
3×cbrt-prod pow1/3 associate-*l*
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod unswap-sqr
Counts
4 → 49
Calls
4 calls:
4.0ms
(* x (- (* y z)))
2.0ms
(cbrt (* x (- (* y z))))
2.0ms
(cbrt (* x (- (* y z))))
2.0ms
(cbrt (* x (- (* y z))))

series334.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* x (- (* y z)))
101.0ms
(cbrt (* x (- (* y z))))
103.0ms
(cbrt (* x (- (* y z))))
106.0ms
(cbrt (* x (- (* y z))))

simplify149.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0187354
1787317
24602308
35002308

prune209.0ms

Filtered
61 candidates to 56 candidates (91.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes175.0ms

Accuracy

97.3% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03612
14912
25312
35312

end0.0ms

sample388.0ms

Algorithm
intervals
Results
195.0ms9562×body80valid