Details

Time bar (total: 4.9s)

sample17.0ms

Algorithm
intervals
Results
7.0ms269×body80valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

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: 6.8b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
6.7b
(/ x (* (- y z) (- t z)))

rewrite22.0ms

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:
10.0ms
(* (- y z) (- t z))
9.0ms
(/ x (* (- y z) (- t z)))

series161.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (- y z) (- t z))
128.0ms
(/ x (* (- y z) (- t z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0384705
11834535
25002528

prune189.0ms

Filtered
91 candidates to 57 candidates (62.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New84791
Fresh000
Picked011
Done000
Total84892

Merged error: 0.0b

Counts
92 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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:
23.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series713.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))
185.0ms
(cbrt x)
190.0ms
(cbrt x)
185.0ms
(cbrt x)

simplify73.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05391075
12688884
25001825

prune373.0ms

Filtered
130 candidates to 100 candidates (76.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1282130
Fresh336
Picked101
Done011
Total1326138

Merged error: 0.0b

Counts
138 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- y z))
1.2b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
52×*-un-lft-identity times-frac
30×add-cube-cbrt
28×add-exp-log
21×associate-*r* associate-*l*
16×add-cbrt-cube
10×div-exp distribute-lft-out-- difference-of-squares
8×prod-exp
6×associate-/r/ unswap-sqr
5×pow1 cbrt-undiv associate-/r*
4×cbrt-unprod
3×rec-exp flip3-- 1-exp flip-- div-inv associate-/l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-times pow-flip frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 117
Calls
2 calls:
5.0ms
(/ 1 (- y z))
20.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series251.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ 1 (- y z))
216.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0496738
12134637
25001597

prune239.0ms

Filtered
123 candidates to 72 candidates (58.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1212123
Fresh224
Picked011
Done011
Total1236129

Merged error: 0.0b

Counts
129 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
8.5b
(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))
8.5b
(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))
8.5b
(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
17×add-sqr-sqrt *-un-lft-identity
15×times-frac
11×add-cube-cbrt
6×associate-/r/
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div flip3-- flip-- div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 79
Calls
4 calls:
1.0ms
(cbrt x)
7.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))
7.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))
7.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))

series1.4s

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
361.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))
340.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))
559.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))

simplify84.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0245817
1673772
22730740
35001736

prune406.0ms

Filtered
91 candidates to 83 candidates (91.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New90191
Fresh123
Picked101
Done022
Total92597

Merged error: 0b

Counts
97 → 5

regimes154.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1135

end0.0ms

sample426.0ms

Algorithm
intervals
Results
218.0ms8427×body80valid