Details

Time bar (total: 3.0s)

sample56.0ms

Algorithm
intervals
Results
18.0ms350×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0164
1324
2694
31484
42384
53644
65184
76384
87404
98134
108424
118424

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.7b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.3b
(/ (* y (- z t)) a)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
8.0ms
(- x (/ (* y (- z t)) a))
11.0ms
(* y (- z t))
9.0ms
(/ (* y (- z t)) a)

series44.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(- x (/ (* y (- z t)) a))
8.0ms
(* y (- z t))
21.0ms
(/ (* y (- z t)) a)

simplify37.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0291345
11204306
25001306

prune84.0ms

Filtered
47 candidates to 72 candidates (-53.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New66672
Fresh000
Picked101
Done000
Total67673

Merged error: 0.0b

Counts
73 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
4.9b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
18.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series85.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt a)
21.0ms
(cbrt a)
24.0ms
(cbrt a)
18.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify60.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0500954
12500845
25001783

prune114.0ms

Filtered
85 candidates to 116 candidates (-36.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1151116
Fresh055
Picked011
Done000
Total1157122

Merged error: 0b

Counts
122 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.1b
(* (* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (cbrt a)) (cbrt (cbrt a))))) (/ (cbrt (- z t)) (cbrt (cbrt a))))
2.8b
(* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (cbrt a)) (cbrt (cbrt a)))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
261×add-exp-log
128×prod-exp cbrt-unprod
127×add-cbrt-cube
123×cbrt-prod
82×cbrt-undiv div-exp
81×associate-*r*
80×times-frac
76×add-sqr-sqrt
70×*-un-lft-identity
52×add-cube-cbrt
11×pow1
9×distribute-lft-out-- difference-of-squares
8×associate-*l*
6×frac-times associate-*l/
4×associate-*r/ pow-prod-down add-log-exp unswap-sqr
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 238
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
36.0ms
(* (* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (cbrt a)) (cbrt (cbrt a))))) (/ (cbrt (- z t)) (cbrt (cbrt a))))
20.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (cbrt a)) (cbrt (cbrt a)))))

series133.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt a)
21.0ms
(cbrt a)
18.0ms
(* (* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (cbrt a)) (cbrt (cbrt a))))) (/ (cbrt (- z t)) (cbrt (cbrt a))))
74.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (cbrt a)) (cbrt (cbrt a)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
250 → 250
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014285895
150014613

prune219.0ms

Filtered
158 candidates to 250 candidates (-58.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2500250
Fresh055
Picked011
Done011
Total2507257

Merged error: 0b

Counts
257 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
5.6b
(/ y (/ a (- z t)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
112×add-sqr-sqrt
105×*-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
19×difference-of-squares
17×distribute-lft-out--
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×sub-neg diff-log
Counts
3 → 155
Calls
3 calls:
19.0ms
(- x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
8.0ms
(/ y (/ a (- z t)))

series37.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(- x (/ y (/ a (- z t))))
7.0ms
(/ a (- z t))
15.0ms
(/ y (/ a (- z t)))

simplify61.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05511200
123711160
250031157

prune124.0ms

Filtered
122 candidates to 164 candidates (-34.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1622164
Fresh224
Picked011
Done202
Total1665171

Merged error: 0b

Counts
171 → 5

regimes689.0ms

Accuracy

76.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02817
12817

end0.0ms

sample921.0ms

Algorithm
intervals
Results
350.0ms10514×body80valid

Profiling

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