Details

Time bar (total: 5.2s)

sample19.0ms

Algorithm
intervals
Results
8.0ms285×body80valid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1294
2564
3864
41184
51454
61564
71664
81674
91714
101754
112864
123244
133504
144484
155174
165994
177054
187994
198084
208084

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.5b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
9.0b
(/ (* x (- y z)) (- t z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
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 expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
8.0ms
(* x (- y z))
12.0ms
(/ (* x (- y z)) (- t z))

series129.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* x (- y z))
81.0ms
(/ (* x (- y z)) (- t z))

simplify58.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0346543
11624380
25001380

prune177.0ms

Filtered
83 candidates to 46 candidates (55.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New75883
Fresh000
Picked101
Done000
Total76884

Merged error: 0.0b

Counts
84 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.1b
(/ x (/ (- t z) (- y z)))

rewrite291.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
19.0ms
(/ (- t z) (- y z))
248.0ms
(/ x (/ (- t z) (- y z)))

series269.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- t z) (- y z))
217.0ms
(/ x (/ (- t z) (- y z)))

simplify88.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06421801
128871748
250011745

prune464.0ms

Filtered
204 candidates to 137 candidates (67.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1995204
Fresh617
Picked011
Done000
Total2057212

Merged error: 0b

Counts
212 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.2b
(* x (/ (- y z) (- t z)))

rewrite30.0ms

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 expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
9.0ms
(/ (- y z) (- t z))
16.0ms
(* x (/ (- y z) (- t z)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- y z) (- t z))
72.0ms
(* x (/ (- y z) (- t z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0356664
11414623
25001623

prune245.0ms

Filtered
112 candidates to 75 candidates (67.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1111112
Fresh145
Picked011
Done011
Total1127119

Merged error: 0b

Counts
119 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ 1 (* (cbrt (/ (- t z) (- y z))) (cbrt (/ (- t z) (- y z))))) (/ x (cbrt (/ (- t z) (- y z)))))
3.3b
(cbrt (/ (- t z) (- y z)))
3.3b
(cbrt (/ (- t z) (- y z)))
3.3b
(cbrt (/ (- t z) (- y z)))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
275×times-frac
262×add-sqr-sqrt
234×*-un-lft-identity
192×cbrt-prod
110×add-cube-cbrt
107×associate-*r*
60×distribute-lft-out-- difference-of-squares
49×add-exp-log
20×prod-exp
18×add-cbrt-cube
16×associate-/r/
15×div-exp
12×unswap-sqr
10×associate-*l*
8×cbrt-div cbrt-unprod div-inv
7×cbrt-undiv
6×pow1 flip3-- flip--
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow1/3
2×frac-times associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 289
Calls
4 calls:
74.0ms
(* (/ 1 (* (cbrt (/ (- t z) (- y z))) (cbrt (/ (- t z) (- y z))))) (/ x (cbrt (/ (- t z) (- y z)))))
8.0ms
(cbrt (/ (- t z) (- y z)))
8.0ms
(cbrt (/ (- t z) (- y z)))
8.0ms
(cbrt (/ (- t z) (- y z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (/ 1 (* (cbrt (/ (- t z) (- y z))) (cbrt (/ (- t z) (- y z))))) (/ x (cbrt (/ (- t z) (- y z)))))
335.0ms
(cbrt (/ (- t z) (- y z)))
330.0ms
(cbrt (/ (- t z) (- y z)))
330.0ms
(cbrt (/ (- t z) (- y z)))

simplify81.0ms

Algorithm
egg-herbie
Counts
301 → 301
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
011324484
150014157

prune985.0ms

Filtered
301 candidates to 216 candidates (71.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3010301
Fresh044
Picked011
Done022
Total3017308

Merged error: 0b

Counts
308 → 7

regimes135.0ms

Accuracy

-1.1% (2.3b remaining)

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

bsearch114.0ms

Steps
ItersRangePoint
11
6.913030277819514e-210
1.0102709383013121e-189
2.6664903317211886e-202
11
-6.595834979536958e-117
-1.698231642237559e-137
-2.3765987627577737e-131

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0208
1208

end0.0ms

sample497.0ms

Algorithm
intervals
Results
262.0ms8763×body80valid