Details

Time bar (total: 3.4s)

sample17.0ms

Algorithm
intervals
Results
6.0ms315×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1243
2523
3883
41023
51023

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize9.0ms

Local error

Found 1 expressions with local error:

3.9b
(* x (- 1.0 (* y z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
3×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
17.0ms
(* x (- 1.0 (* y z)))

series46.0ms

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

simplify79.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0151195
1598171
22506166
35003160

prune74.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* y z))))
8.0b
(* x (- (* y z)))

rewrite22.0ms

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
2×expm1-log1p-u log1p-expm1-u
1×+-commutative distribute-lft-neg-in neg-mul-1 fma-def 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 → 41
Calls
2 calls:
9.0ms
(+ (* x 1.0) (* x (- (* y z))))
12.0ms
(* x (- (* y z)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(+ (* x 1.0) (* x (- (* y z))))
26.0ms
(* x (- (* y z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0191224
11076197
25002193

prune119.0ms

Pruning

6 alts after pruning (5 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)
2.9b
(* (cbrt x) (- (* y z)))
5.3b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

rewrite64.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 79
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
13.0ms
(* (cbrt x) (- (* y z)))
47.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

series561.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(cbrt x)
191.0ms
(cbrt x)
121.0ms
(* (cbrt x) (- (* y z)))
51.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

simplify66.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0237512
11261419
25002376

prune262.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

5.3b
(* (* (cbrt x) (cbrt x)) (* (* (cbrt x) (* (cbrt (- (* y z))) (cbrt (- (* y z))))) (cbrt (- (* y z)))))
14.0b
(cbrt (- (* y z)))
14.0b
(cbrt (- (* y z)))
14.0b
(cbrt (- (* y z)))

rewrite296.0ms

Algorithm
rewrite-expression-head
Rules
36×pow1 add-exp-log
29×pow-prod-down
24×prod-exp cbrt-unprod
18×cbrt-prod
14×add-cbrt-cube
9×pow1/3
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
1×associate-*r* associate-*l* *-commutative
Counts
4 → 85
Calls
4 calls:
286.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt x) (* (cbrt (- (* y z))) (cbrt (- (* y z))))) (cbrt (- (* y z)))))
2.0ms
(cbrt (- (* y z)))
2.0ms
(cbrt (- (* y z)))
2.0ms
(cbrt (- (* y z)))

series638.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt x) (* (cbrt (- (* y z))) (cbrt (- (* y z))))) (cbrt (- (* y z)))))
102.0ms
(cbrt (- (* y z)))
342.0ms
(cbrt (- (* y z)))
103.0ms
(cbrt (- (* y z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
03291118
11337800
25001593

prune306.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes176.0ms

Accuracy

94.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.5b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03612
14612
25212
35212

end0.0ms

sample432.0ms

Algorithm
intervals
Results
178.0ms9529×body80valid