Details

Time bar (total: 4.3s)

sample21.0ms

Algorithm
intervals
Results
7.0ms270×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: 14.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.5b
(/ (* x (- y z)) (- t z))

rewrite22.0ms

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))

series111.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (- y z))
73.0ms
(/ (* x (- y z)) (- t z))

simplify59.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0346543
11624380
25001380

prune179.0ms

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

localize13.0ms

Local error

Found 2 expressions with local error:

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

series128.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- y z) (- t z))
74.0ms
(* x (/ (- y z) (- t z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0356664
11414623
25001623

prune263.0ms

Filtered
112 candidates to 74 candidates (66.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1084112
Fresh437
Picked011
Done000
Total1128120

Merged error: 0.0b

Counts
120 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t z))
0.5b
(cbrt (- t z))
0.5b
(cbrt (- t z))
0.5b
(* (cbrt (- y z)) (cbrt (- y z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
13.0ms
(* (cbrt (- y z)) (cbrt (- y z)))

series654.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt (- t z))
172.0ms
(cbrt (- t z))
167.0ms
(cbrt (- t z))
146.0ms
(* (cbrt (- y z)) (cbrt (- y z)))

simplify195.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0326790
11077753
24972700
35001700

prune432.0ms

Filtered
121 candidates to 89 candidates (73.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1201121
Fresh066
Picked011
Done011
Total1209129

Merged error: 0b

Counts
129 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t z))
0.5b
(* (cbrt (- y z)) (cbrt (- y z)))
0.5b
(cbrt (cbrt (- y z)))
0.6b
(cbrt (* (cbrt (- y z)) (cbrt (- y z))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
47×cbrt-prod
38×cbrt-div
35×add-sqr-sqrt
33×*-un-lft-identity
15×add-cube-cbrt
14×flip3-- flip--
11×pow1
10×swap-sqr
9×pow1/3
8×frac-times associate-*r* associate-*l* distribute-lft-out--
6×add-exp-log difference-of-squares
4×expm1-log1p-u associate-*r/ associate-*l/ add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 114
Calls
4 calls:
3.0ms
(cbrt (- t z))
12.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
4.0ms
(cbrt (cbrt (- y z)))
14.0ms
(cbrt (* (cbrt (- y z)) (cbrt (- y z))))

series649.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt (- t z))
145.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
179.0ms
(cbrt (cbrt (- y z)))
149.0ms
(cbrt (* (cbrt (- y z)) (cbrt (- y z))))

simplify69.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0484967
11563927
25002866

prune546.0ms

Filtered
126 candidates to 93 candidates (73.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1260126
Fresh066
Picked011
Done022
Total1269135

Merged error: 0b

Counts
135 → 9

regimes151.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01618
11618

end0.0ms

sample475.0ms

Algorithm
intervals
Results
239.0ms8751×body80valid