Details

Time bar (total: 2.6s)

sample28.0ms

Algorithm
intervals
Results
10.0ms278×body80valid

simplify50.0ms

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: 1.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.8b
(* y (/ (- z t) (- z a)))

rewrite27.0ms

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:
10.0ms
(/ (- z t) (- z a))
12.0ms
(* y (/ (- z t) (- z a)))

series24.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (- z t) (- z a))
15.0ms
(* y (/ (- z t) (- z a)))

simplify39.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0351647
11392606
25002606

prune106.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1044108
Fresh000
Picked011
Done000
Total1045109

Merged error: 0.0b

Counts
109 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.3b
(* (- z t) (/ 1 (- z a)))
1.8b
(* 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))))

series28.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- z a))
8.0ms
(* (- z t) (/ 1 (- z a)))
15.0ms
(* y (* (- z t) (/ 1 (- z a))))

simplify46.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0385671
11779562
25001520

prune101.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh033
Picked011
Done011
Total1285133

Merged error: 0.0b

Counts
133 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (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)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
333×*-un-lft-identity
277×cbrt-prod
273×add-sqr-sqrt
229×times-frac
106×distribute-lft-out--
93×add-cube-cbrt
78×difference-of-squares
58×swap-sqr
34×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 276
Calls
4 calls:
35.0ms
(* (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)))

series137.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
30.0ms
(cbrt (/ (- z t) (- z a)))
30.0ms
(cbrt (/ (- z t) (- z a)))
35.0ms
(cbrt (/ (- z t) (- z a)))

simplify65.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03933403
112983338
250013224

prune222.0ms

Filtered
176 candidates to 288 candidates (-63.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2880288
Fresh022
Picked011
Done022
Total2885293

Merged error: 0.0b

Counts
293 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.0b
(* y (- z t))
9.6b
(* (* y (- z t)) (/ 1 (- z a)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×*-un-lft-identity
31×add-exp-log
30×times-frac
26×associate-*r*
24×add-cube-cbrt
19×add-cbrt-cube
13×prod-exp
11×pow1
8×distribute-lft-out-- difference-of-squares
7×associate-*r/ cbrt-unprod
6×div-exp
5×flip3-- associate-/r* flip--
4×associate-*l* pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp
2×distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*l/ *-commutative div-inv
1×pow-flip frac-2neg clear-num un-div-inv inv-pow unswap-sqr
Counts
3 → 117
Calls
3 calls:
8.0ms
(/ 1 (- z a))
6.0ms
(* y (- z t))
14.0ms
(* (* y (- z t)) (/ 1 (- z a)))

series27.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- z a))
7.0ms
(* y (- z t))
16.0ms
(* (* y (- z t)) (/ 1 (- z a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0426633
12357536
25002493

prune86.0ms

Filtered
66 candidates to 126 candidates (-90.9%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1251126
Fresh011
Picked011
Done033
Total1256131

Merged error: 0b

Counts
131 → 6

regimes555.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample776.0ms

Algorithm
intervals
Results
307.0ms8670×body80valid

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