Details

Time bar (total: 3.9s)

sample18.0ms

Algorithm
intervals
Results
6.0ms281×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize11.0ms

Local error

Found 1 expressions with local error:

14.8b
(/ (* x (- y z)) (- t z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
5×times-frac associate-/r*
3×add-cube-cbrt
2×cbrt-undiv flip3-- associate-*r/ div-exp associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
30.0ms
(/ (* x (- y z)) (- t z))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ (* x (- y z)) (- t z))

simplify80.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0204178
1834151
24013151
35002151

prune63.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.0b
(/ x (/ (- t z) (- y z)))

rewrite59.0ms

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:
22.0ms
(/ (- t z) (- y z))
24.0ms
(/ x (/ (- t z) (- y z)))

series172.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- t z) (- y z))
128.0ms
(/ x (/ (- t z) (- y z)))

simplify66.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
06331784
128631733
250011730

prune360.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) (- y z))
0.4b
(/ 1 (/ (/ (- t z) (- y z)) x))
2.0b
(/ (/ (- t z) (- y z)) x)

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
1181×times-frac
793×add-sqr-sqrt *-un-lft-identity
449×add-cube-cbrt
172×distribute-lft-out-- difference-of-squares
105×associate-/r*
39×associate-/l*
35×associate-/r/
31×add-exp-log
23×div-inv
19×div-exp add-cbrt-cube
18×flip3-- flip--
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp div-sub clear-num associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
3 → 611
Calls
3 calls:
25.0ms
(/ (- t z) (- y z))
42.0ms
(/ 1 (/ (/ (- t z) (- y z)) x))
36.0ms
(/ (/ (- t z) (- y z)) x)

series263.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (- t z) (- y z))
141.0ms
(/ 1 (/ (/ (- t z) (- y z)) x))
74.0ms
(/ (/ (- t z) (- y z)) x)

simplify106.0ms

Algorithm
egg-herbie
Counts
620 → 620
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
017607383
150026711

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

11.5b
(* (/ x (- t z)) (- y z))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
21×associate-*l*
19×*-un-lft-identity
16×times-frac
11×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
4×distribute-lft-out-- difference-of-squares
3×pow1 flip3-- flip--
2×distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
48.0ms
(* (/ x (- t z)) (- y z))

series137.0ms

Counts
1 → 3
Calls
1 calls:
137.0ms
(* (/ x (- t z)) (- y z))

simplify98.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0281313
11134285
24859285
35002285

prune99.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes119.0ms

Accuracy

-3.7% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.1b

bsearch60.0ms

Steps
ItersRangePoint
8
8.533857798619261e-268
7.285735258087563e-264
2.7570659801468466e-265
10
-9.404786223137415e-91
-1.645253636299517e-102
-5.774941709796474e-102

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample512.0ms

Algorithm
intervals
Results
218.0ms8697×body80valid