Details

Time bar (total: 4.0s)

sample20.0ms

Algorithm
intervals
Results
9.0ms275×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 11.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
10.7b
(/ (* x (- y z)) (- t z))

rewrite20.0ms

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:
7.0ms
(* x (- y z))
10.0ms
(/ (* x (- y z)) (- t z))

series98.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* x (- y z))
65.0ms
(/ (* x (- y z)) (- t z))

simplify50.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0346543
11624380
25001380

prune115.0ms

Filtered
83 candidates to 46 candidates (55.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New79483
Fresh000
Picked011
Done000
Total79584

Merged error: 0.0b

Counts
84 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.4b
(/ x (/ (- t z) (- y z)))

rewrite50.0ms

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:
16.0ms
(/ (- t z) (- y z))
12.0ms
(/ x (/ (- t z) (- y z)))

series219.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- t z) (- y z))
174.0ms
(/ x (/ (- t z) (- y z)))

simplify76.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06421801
128871748
250011745

prune341.0ms

Filtered
204 candidates to 137 candidates (67.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2022204
Fresh213
Picked011
Done011
Total2045209

Merged error: 0b

Counts
209 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.7b
(* 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:
8.0ms
(/ (- y z) (- t z))
17.0ms
(* x (/ (- y z) (- t z)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- y z) (- t z))
64.0ms
(* x (/ (- y z) (- t z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0356664
11414623
25001623

prune170.0ms

Filtered
112 candidates to 74 candidates (66.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1120112
Fresh022
Picked011
Done022
Total1125117

Merged error: 0b

Counts
117 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (* (cbrt (/ (- t z) (- y z))) (cbrt (/ (- t z) (- y z)))))
5.1b
(cbrt (/ (- t z) (- y z)))
5.1b
(cbrt (/ (- t z) (- y z)))
5.1b
(cbrt (/ (- t z) (- y z)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt *-un-lft-identity
93×cbrt-prod
78×times-frac
39×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
15×add-exp-log
12×pow1
9×pow-flip pow1/3 associate-/r/
7×cbrt-div add-cbrt-cube
4×expm1-log1p-u div-exp log1p-expm1-u div-inv add-log-exp
3×flip3-- prod-exp flip-- associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times frac-2neg pow-plus associate-*r/ associate-*l/ clear-num associate-/r* cbrt-unprod inv-pow
Counts
4 → 166
Calls
4 calls:
23.0ms
(/ 1 (* (cbrt (/ (- t z) (- y z))) (cbrt (/ (- t z) (- y z)))))
7.0ms
(cbrt (/ (- t z) (- y z)))
7.0ms
(cbrt (/ (- t z) (- y z)))
7.0ms
(cbrt (/ (- t z) (- y z)))

series1.4s

Counts
4 → 12
Calls
4 calls:
503.0ms
(/ 1 (* (cbrt (/ (- t z) (- y z))) (cbrt (/ (- t z) (- y z)))))
307.0ms
(cbrt (/ (- t z) (- y z)))
304.0ms
(cbrt (/ (- t z) (- y z)))
299.0ms
(cbrt (/ (- t z) (- y z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04621753
113161651
250021596

prune426.0ms

Filtered
178 candidates to 123 candidates (69.1%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1780178
Fresh011
Picked011
Done033
Total1785183

Merged error: 0b

Counts
183 → 5

regimes131.0ms

Accuracy

37% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02020
12020

end0.0ms

sample487.0ms

Algorithm
intervals
Results
264.0ms8694×body80valid

Profiling

Loading profile data...