Details

Time bar (total: 6.9s)

sample25.0ms

Algorithm
intervals
Results
8.0ms339×body80valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

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))
22.0ms
(* y (- z t))
15.0ms
(/ (* y (- z t)) a)

series121.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- x (/ (* y (- z t)) a))
35.0ms
(* y (- z t))
42.0ms
(/ (* y (- z t)) a)

simplify38.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0291345
11204306
25001306

prune149.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
4.6b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite68.0ms

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)
61.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series611.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt a)
173.0ms
(cbrt a)
176.0ms
(cbrt a)
82.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify63.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0480918
12615741
25001706

prune348.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.8b
(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))
1.2b
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
115×add-sqr-sqrt
94×times-frac
85×add-exp-log
77×cbrt-prod
63×*-un-lft-identity
51×add-cube-cbrt
50×associate-*l*
41×add-cbrt-cube
36×prod-exp cbrt-unprod
35×associate-*r*
26×cbrt-undiv div-exp
15×unswap-sqr
11×pow1
6×frac-times associate-*r/ distribute-lft-out-- difference-of-squares
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 189
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
62.0ms
(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))
79.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

series627.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt y)
181.0ms
(cbrt y)
225.0ms
(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))
46.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

simplify102.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
08922272
140331912
250021780

prune586.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.8b
(* (/ (cbrt (cbrt y)) (cbrt (cbrt a))) (/ (- z t) (cbrt a)))
1.2b
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt a) (cbrt a)))) (* (/ (cbrt (cbrt y)) (cbrt (cbrt a))) (/ (- z t) (cbrt a)))))

rewrite346.0ms

Algorithm
rewrite-expression-head
Rules
250×cbrt-prod
208×add-exp-log
200×add-sqr-sqrt
164×times-frac
102×prod-exp cbrt-unprod
95×associate-*l*
93×*-un-lft-identity
92×add-cbrt-cube
81×add-cube-cbrt
65×cbrt-undiv div-exp
35×associate-*r*
30×unswap-sqr
18×frac-times associate-*r/
15×pow1
8×associate-*l/
7×pow-prod-down
6×distribute-lft-out-- difference-of-squares
4×add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 294
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
94.0ms
(* (/ (cbrt (cbrt y)) (cbrt (cbrt a))) (/ (- z t) (cbrt a)))
230.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt a) (cbrt a)))) (* (/ (cbrt (cbrt y)) (cbrt (cbrt a))) (/ (- z t) (cbrt a)))))

series643.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt y)
178.0ms
(cbrt y)
229.0ms
(* (/ (cbrt (cbrt y)) (cbrt (cbrt a))) (/ (- z t) (cbrt a)))
58.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt a) (cbrt a)))) (* (/ (cbrt (cbrt y)) (cbrt (cbrt a))) (/ (- z t) (cbrt a)))))

simplify73.0ms

Algorithm
egg-herbie
Counts
306 → 306
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014065914
150014801

prune1.4s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes415.0ms

Accuracy

82.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.2b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02318
12318

end0.0ms

sample903.0ms

Algorithm
intervals
Results
462.0ms10700×body80valid