Details

Time bar (total: 2.8s)

sample30.0ms

Algorithm
intervals
Results
18.0ms359×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1363
2803
31233
41413
51433
61433

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
5.7b
(* t (* y (- x z)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
14.0ms
(* y (- x z))
18.0ms
(* t (* y (- x z)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* y (- x z))
41.0ms
(* t (* y (- x z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04021084
11572663
25001645

prune128.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* t (* x y)) (* t (* (- z) y)))
5.0b
(* t (* x y))
5.8b
(* t (* (- z) y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-cbrt-cube
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×distribute-lft-neg-out expm1-log1p-u distribute-rgt-neg-out log1p-expm1-u
2×associate-*r* *-commutative
1×+-commutative fma-def flip3-+ unsub-neg sum-log flip-+ distribute-lft-out
Counts
3 → 58
Calls
3 calls:
6.0ms
(+ (* t (* x y)) (* t (* (- z) y)))
8.0ms
(* t (* x y))
8.0ms
(* t (* (- z) y))

series113.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(+ (* t (* x y)) (* t (* (- z) y)))
25.0ms
(* t (* x y))
28.0ms
(* t (* (- z) y))

simplify47.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0267305
11118259
25001253

prune151.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

3.0b
(fma t (* x y) (* t (* (- z) y)))
5.8b
(* t (* (- z) y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-lft-neg-out associate-*r* *-commutative distribute-rgt-neg-out fma-udef
Counts
2 → 31
Calls
2 calls:
0.0ms
(fma t (* x y) (* t (* (- z) y)))
8.0ms
(* t (* (- z) y))

series87.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(fma t (* x y) (* t (* (- z) y)))
27.0ms
(* t (* (- z) y))

simplify97.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0135181
1516153
23236148
35002148

prune98.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

5.8b
(* t (* (- z) y))
15.5b
(cbrt (* t (* (- z) y)))
15.5b
(cbrt (* t (* (- z) y)))
15.5b
(cbrt (* t (* (- z) y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×distribute-lft-neg-out associate-*r* *-commutative distribute-rgt-neg-out
Counts
4 → 54
Calls
4 calls:
10.0ms
(* t (* (- z) y))
6.0ms
(cbrt (* t (* (- z) y)))
6.0ms
(cbrt (* t (* (- z) y)))
6.0ms
(cbrt (* t (* (- z) y)))

series324.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* t (* (- z) y))
100.0ms
(cbrt (* t (* (- z) y)))
98.0ms
(cbrt (* t (* (- z) y)))
99.0ms
(cbrt (* t (* (- z) y)))

simplify98.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0204384
1701342
23575333
35001333

prune234.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes189.0ms

Accuracy

61.1% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 7.5b

bsearch81.0ms

Steps
ItersRangePoint
6
1.5919971816367978e+19
1.03490808967161e+20
4.620897863631113e+19
8
-4.613206121218691e-07
-9.188218179335538e-11
-3.9370635120425994e-09

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04828
15828
26228
36228

end0.0ms

sample813.0ms

Algorithm
intervals
Results
546.0ms10657×body80valid