Details

Time bar (total: 3.1s)

sample27.0ms

Algorithm
intervals
Results
16.0ms276×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1294
2544
3774
41044
51254
61344
71444
81454
91494
101534
112484
122864
133084
143944
154634
165214
176154
186914
197004
207004

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
10.5b
(/ (* x (- y z)) (- t z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
10.0ms
(* x (- y z))
9.0ms
(/ (* x (- y z)) (- t z))

series101.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* x (- y z))
64.0ms
(/ (* x (- y z)) (- t z))

simplify34.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0264276
11209239
25001239

prune112.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.6b
(* x (/ (- y z) (- t z)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
11.0ms
(/ (- y z) (- t z))
25.0ms
(* x (/ (- y z) (- t z)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- y z) (- t z))
62.0ms
(* x (/ (- y z) (- t z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0349647
11396606
25001606

prune195.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.8b
(/ x (/ (- t z) (- y z)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
11.0ms
(/ (- t z) (- y z))
15.0ms
(/ x (/ (- t z) (- y z)))

series195.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- t z) (- y z))
147.0ms
(/ x (/ (- t z) (- y z)))

simplify71.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06331784
128631733
250011730

prune403.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- y z))
0.0b
(/ z (- y z))
2.8b
(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
174×*-un-lft-identity
156×times-frac
134×add-sqr-sqrt
56×distribute-lft-out--
54×add-cube-cbrt
32×difference-of-squares
28×associate-/r*
24×associate-/r/
12×distribute-rgt-out--
11×flip3-- flip-- div-inv
9×add-exp-log add-cbrt-cube associate-/l*
3×pow1 cbrt-undiv frac-2neg div-exp clear-num add-log-exp
1×frac-sub sub-div
Counts
3 → 165
Calls
3 calls:
5.0ms
(/ t (- y z))
5.0ms
(/ z (- y z))
82.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

series180.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ t (- y z))
47.0ms
(/ z (- y z))
104.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify54.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04921359
118561322
250021319

prune378.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes97.0ms

Accuracy

-9.4% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.2b

bsearch83.0ms

Steps
ItersRangePoint
8
4.44730102309774e-53
1.3006604657059154e-48
4.568312797483335e-53
10
-1.8802038655644203e-102
-9.986682362054284e-118
-4.3044086709770845e-106

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

sample761.0ms

Algorithm
intervals
Results
532.0ms8776×body80valid