Details

Time bar (total: 2.6s)

sample15.0ms

Algorithm
intervals
Results
6.0ms316×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1243
2463
3713
4793
5793

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize7.0ms

Local error

Found 1 expressions with local error:

2.3b
(* 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)))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* 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

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* y z))))
5.6b
(* 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:
55.0ms
(+ (* x 1.0) (* x (- (* y z))))
28.0ms
(* x (- (* y z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0181204
11018178
25001174

prune95.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

5.6b
(* x (- (* y z)))
9.9b
(cbrt (* x (- (* y z))))
9.9b
(cbrt (* x (- (* y z))))
9.9b
(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))))

series327.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* x (- (* y z)))
100.0ms
(cbrt (* x (- (* y z))))
100.0ms
(cbrt (* x (- (* y z))))
101.0ms
(cbrt (* x (- (* y z))))

simplify148.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0187354
1787317
24602308
35002308

prune218.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

9.9b
(cbrt (* (* x (* (cbrt (- (* y z))) (cbrt (- (* y z))))) (cbrt (- (* y z)))))
10.4b
(cbrt (- (* y z)))
10.4b
(cbrt (- (* y z)))
10.4b
(cbrt (- (* y z)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
Counts
4 → 51
Calls
4 calls:
40.0ms
(cbrt (* (* x (* (cbrt (- (* y z))) (cbrt (- (* y z))))) (cbrt (- (* y z)))))
1.0ms
(cbrt (- (* y z)))
1.0ms
(cbrt (- (* y z)))
1.0ms
(cbrt (- (* y z)))

series399.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(cbrt (* (* x (* (cbrt (- (* y z))) (cbrt (- (* y z))))) (cbrt (- (* y z)))))
95.0ms
(cbrt (- (* y z)))
92.0ms
(cbrt (- (* y z)))
93.0ms
(cbrt (- (* y z)))

simplify37.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
0173481
1394433
21256396
35001391

prune275.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes182.0ms

Accuracy

29.3% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 3.2b

bsearch60.0ms

Steps
ItersRangePoint
9
1.3010061971862811e+65
1.3076744836992385e+70
1.3866717898654844e+65
6
-3.3648594806706904e-224
-3.1026656200820254e-225
-2.8468954437401834e-224

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03610
14910
25310
35310

end0.0ms

sample386.0ms

Algorithm
intervals
Results
194.0ms9675×body80valid