Details

Time bar (total: 4.0s)

analyze901.0ms

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms26×body80invalid

simplify56.0ms

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

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.5b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.6b
(* y (/ (- z t) (- z a)))

rewrite28.0ms

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))
17.0ms
(* y (/ (- z t) (- z a)))

series25.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- z t) (- z a))
16.0ms
(* y (/ (- z t) (- z a)))

simplify45.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0351647
11392606
25002606

prune122.0ms

Filtered
71 candidates to 108 candidates (-52.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1035108
Fresh000
Picked011
Done000
Total1036109

Merged error: 0b

Counts
109 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.3b
(* (- z t) (/ 1 (- z a)))
1.6b
(* y (* (- z t) (/ 1 (- z a))))

rewrite36.0ms

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))
15.0ms
(* (- z t) (/ 1 (- z a)))
12.0ms
(* y (* (- z t) (/ 1 (- z a))))

series30.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- z a))
9.0ms
(* (- z t) (/ 1 (- z a)))
16.0ms
(* y (* (- z t) (/ 1 (- z a))))

simplify51.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0385671
11779562
25001520

prune114.0ms

Filtered
73 candidates to 128 candidates (-75.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh044
Picked011
Done011
Total1286134

Merged error: 0b

Counts
134 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
9.4b
(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- z a)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt *-un-lft-identity
46×associate-*r*
40×cbrt-prod times-frac
30×cbrt-div
28×associate-*l/
26×add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
16×frac-times flip3-- flip-- distribute-lft-out-- difference-of-squares
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down
5×associate-*r/
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×associate-/r/
1×associate-*l* *-commutative div-inv
Counts
4 → 132
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
28.0ms
(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- z a)))

series97.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- z t))
29.0ms
(cbrt (- z t))
27.0ms
(cbrt (- z t))
16.0ms
(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- z a)))

simplify89.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
06731584
132111432
250021370

prune152.0ms

Filtered
103 candidates to 144 candidates (-39.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1440144
Fresh033
Picked011
Done022
Total1446150

Merged error: 0b

Counts
150 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
11.7b
(/ (* y (- z t)) (- z a))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
6.0ms
(* y (- z t))
8.0ms
(/ (* y (- z t)) (- z a))

series24.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- z t))
17.0ms
(/ (* y (- z t)) (- z a))

simplify40.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0267276
11217239
25001239

prune51.0ms

Filtered
38 candidates to 61 candidates (-60.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New60161
Fresh112
Picked011
Done123
Total62567

Merged error: 0b

Counts
67 → 5

regimes556.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

analyze897.0ms

Algorithm
search

sample593.0ms

Algorithm
intervals
Results
304.0ms7997×body80valid
24.0ms677×body80invalid
0.0ms2×body640valid
0.0ms1×body160valid

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