Details

Time bar (total: 2.9s)

sample27.0ms

Algorithm
intervals
Results
9.0ms278×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1355
2565
3945
41505
51855
62035
72305
82805
93685
104575
117235
129225
1310385
1410605
1510605

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.8b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
2.4b
(* y (/ (- z t) (- z a)))

rewrite24.0ms

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 div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- z t) (- z a))
13.0ms
(* y (/ (- z t) (- z a)))

series28.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- z t) (- z a))
20.0ms
(* y (/ (- z t) (- z a)))

simplify42.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0351647
11392606
25002606

prune119.0ms

Filtered
108 candidates to 71 candidates (34.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1017108
Fresh000
Picked011
Done000
Total1018109

Merged error: 0b

Counts
109 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z a))
0.5b
(cbrt (- z a))
0.5b
(cbrt (- z a))
5.7b
(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
60×*-un-lft-identity
50×times-frac
46×associate-*r*
42×cbrt-prod
28×add-cube-cbrt
25×add-exp-log
20×cbrt-div
18×add-cbrt-cube
16×distribute-lft-out-- difference-of-squares
15×associate-*l*
10×flip3-- associate-/r/ flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 136
Calls
4 calls:
3.0ms
(cbrt (- z a))
3.0ms
(cbrt (- z a))
3.0ms
(cbrt (- z a))
33.0ms
(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

series99.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt (- z a))
28.0ms
(cbrt (- z a))
25.0ms
(cbrt (- z a))
21.0ms
(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

simplify75.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06541604
131261451
250011380

prune158.0ms

Filtered
148 candidates to 113 candidates (23.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1480148
Fresh066
Picked011
Done011
Total1488156

Merged error: 0b

Counts
156 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* (- z t) (/ 1 (- z a)))
2.4b
(* y (* (- z t) (/ 1 (- z a))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
5.0ms
(/ 1 (- z a))
12.0ms
(* (- z t) (/ 1 (- z a)))
11.0ms
(* y (* (- z t) (/ 1 (- z a))))

series30.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- z a))
8.0ms
(* (- z t) (/ 1 (- z a)))
17.0ms
(* y (* (- z t) (/ 1 (- z a))))

simplify45.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0385671
11779562
25001520

prune111.0ms

Filtered
128 candidates to 73 candidates (43.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh055
Picked011
Done022
Total1288136

Merged error: 0b

Counts
136 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
3.7b
(cbrt (/ (- z t) (- z a)))
3.7b
(cbrt (/ (- z t) (- z a)))
3.7b
(cbrt (/ (- z t) (- z a)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
98×*-un-lft-identity
93×cbrt-prod
75×times-frac
38×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
6×associate-/r/
4×associate-*r/ add-log-exp
3×flip3-- pow1/3 associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 142
Calls
4 calls:
24.0ms
(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
7.0ms
(cbrt (/ (- z t) (- z a)))
7.0ms
(cbrt (/ (- z t) (- z a)))
7.0ms
(cbrt (/ (- z t) (- z a)))

series129.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
33.0ms
(cbrt (/ (- z t) (- z a)))
29.0ms
(cbrt (/ (- z t) (- z a)))
30.0ms
(cbrt (/ (- z t) (- z a)))

simplify60.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
03131457
17361387
221141374
350011359

prune125.0ms

Filtered
154 candidates to 106 candidates (31.2%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1540154
Fresh044
Picked011
Done033
Total1548162

Merged error: 0b

Counts
162 → 8

regimes830.0ms

Accuracy

84.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02616
12616

end0.0ms

sample734.0ms

Algorithm
intervals
Results
296.0ms8721×body80valid
0.0ms1×body1280valid

Profiling

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