Details

Time bar (total: 4.1s)

sample20.0ms

Algorithm
intervals
Results
8.0ms272×body80valid

simplify118.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0144
1304
2694
31824
44014
56594
614034
718374
823874
927594
1027634
1127634

prune3.0ms

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: 7.3b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.3b
(/ x (* (- y z) (- t z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
11.0ms
(* (- y z) (- t z))
10.0ms
(/ x (* (- y z) (- t z)))

series178.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* (- y z) (- t z))
142.0ms
(/ x (* (- y z) (- t z)))

simplify73.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0384705
11834535
25002528

prune184.0ms

Filtered
91 candidates to 57 candidates (62.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New85691
Fresh000
Picked011
Done000
Total85792

Merged error: 0.0b

Counts
92 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
2.1b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 156
Calls
3 calls:
6.0ms
(/ x (- t z))
7.0ms
(/ 1 (- y z))
23.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series316.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ x (- t z))
39.0ms
(/ 1 (- y z))
241.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify78.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0528932
12265821
25002781

prune302.0ms

Filtered
165 candidates to 103 candidates (62.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1641165
Fresh145
Picked011
Done101
Total1666172

Merged error: 0b

Counts
172 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.6b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 118
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt x)
5.0ms
(cbrt x)
27.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series775.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(cbrt x)
198.0ms
(cbrt x)
204.0ms
(cbrt x)
170.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify89.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
05391075
12688884
25001825

prune358.0ms

Filtered
130 candidates to 101 candidates (77.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh044
Picked011
Done011
Total1306136

Merged error: 0b

Counts
136 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.5b
(/ (/ x (- y z)) (- t z))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
6.0ms
(/ x (- y z))
14.0ms
(/ (/ x (- y z)) (- t z))

series171.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ x (- y z))
140.0ms
(/ (/ x (- y z)) (- t z))

simplify88.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
06441751
123221707
250011707

prune391.0ms

Filtered
195 candidates to 133 candidates (68.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1941195
Fresh123
Picked011
Done022
Total1956201

Merged error: 0b

Counts
201 → 6

regimes154.0ms

Accuracy

14.2% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.3b

bsearch112.0ms

Steps
ItersRangePoint
10
1.1006768645846791e-274
1.3370986928793366e-260
7.153678799043119e-268
9
-3566.6479322810937
-0.0014803844373699059
-0.0018649885664836084

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03019
13019

end0.0ms

sample488.0ms

Algorithm
intervals
Results
269.0ms8459×body80valid