Details

Time bar (total: 3.7s)

sample21.0ms

Algorithm
intervals
Results
8.0ms280×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

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: 0.6b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.0b
(* y (/ (- z t) (- z a)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
79×*-un-lft-identity
51×times-frac
31×associate-*r*
28×add-cube-cbrt
25×distribute-lft-out--
24×difference-of-squares
15×associate-*r/
12×associate-/l*
10×associate-/r*
9×add-exp-log add-cbrt-cube
4×pow1 flip3-- associate-/r/ flip-- associate-/l/
3×associate-*l* clear-num un-div-inv
2×cbrt-undiv frac-2neg div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×div-sub pow-prod-down *-commutative
Counts
2 → 119
Calls
2 calls:
8.0ms
(/ (- z t) (- z a))
19.0ms
(* y (/ (- z t) (- z a)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- z t) (- z a))
69.0ms
(* y (/ (- z t) (- z a)))

simplify51.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0390694
11590653
25001653

prune183.0ms

Filtered
125 candidates to 81 candidates (35.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1223125
Fresh000
Picked011
Done000
Total1224126

Merged error: 0b

Counts
126 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z a) (- z t))
1.3b
(/ y (/ (- z a) (- z t)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
200×add-sqr-sqrt *-un-lft-identity
92×add-cube-cbrt
54×distribute-lft-out-- difference-of-squares
41×associate-/r*
25×associate-/r/
13×associate-/l*
9×add-exp-log add-cbrt-cube
7×flip3-- flip--
6×div-inv
4×cbrt-undiv div-exp associate-/l/
3×frac-2neg clear-num
2×pow1 add-log-exp
1×div-sub
Counts
2 → 208
Calls
2 calls:
8.0ms
(/ (- z a) (- z t))
14.0ms
(/ y (/ (- z a) (- z t)))

series164.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- z a) (- z t))
118.0ms
(/ y (/ (- z a) (- z t)))

simplify81.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06491827
129341776
250021773

prune341.0ms

Filtered
214 candidates to 141 candidates (34.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2140214
Fresh022
Picked011
Done011
Total2144218

Merged error: 0b

Counts
218 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- z t) y)
10.0b
(/ (* (- z t) y) (- z a))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
81×*-un-lft-identity
70×times-frac
37×add-cube-cbrt
35×associate-*l*
22×distribute-lft-out-- difference-of-squares
21×associate-*r*
14×associate-/l*
9×add-exp-log add-cbrt-cube
7×*-commutative unswap-sqr
5×associate-/r*
4×pow1 associate-*l/
3×flip3-- flip--
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num div-inv
Counts
2 → 129
Calls
2 calls:
6.0ms
(* (- z t) y)
13.0ms
(/ (* (- z t) y) (- z a))

series94.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- z t) y)
63.0ms
(/ (* (- z t) y) (- z a))

simplify58.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0477979
12129942
25001942

prune197.0ms

Filtered
135 candidates to 87 candidates (35.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1350135
Fresh011
Picked011
Done022
Total1354139

Merged error: 0b

Counts
139 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

3.7b
(* y (/ (- z t) (- (* z z) (* a a))))
5.0b
(- (* z z) (* a a))
15.4b
(* (* y (/ (- z t) (- (* z z) (* a a)))) (+ z a))
20.9b
(/ (- z t) (- (* z z) (* a a)))

rewrite294.0ms

Algorithm
rewrite-expression-head
Rules
1411×add-sqr-sqrt
629×difference-of-squares
608×*-un-lft-identity
498×times-frac
346×associate-*r*
271×associate-*l*
252×swap-sqr
219×unswap-sqr
213×*-commutative distribute-lft-out--
174×associate-*r/
165×associate-/r*
134×add-cube-cbrt
92×frac-times
47×flip3-+ flip-+
46×associate-*l/
33×associate-/l*
20×add-exp-log add-cbrt-cube
12×un-div-inv
11×pow1
10×associate-/l/
9×flip3-- clear-num flip--
7×prod-exp cbrt-unprod
6×associate-/r/ add-log-exp
5×frac-2neg
4×pow-prod-down
3×cbrt-undiv div-exp div-inv
2×+-commutative distribute-rgt-in distribute-lft-in
1×sub-neg diff-log div-sub distribute-lft-out
Counts
4 → 845
Calls
4 calls:
66.0ms
(* y (/ (- z t) (- (* z z) (* a a))))
17.0ms
(- (* z z) (* a a))
98.0ms
(* (* y (/ (- z t) (- (* z z) (* a a)))) (+ z a))
29.0ms
(/ (- z t) (- (* z z) (* a a)))

series274.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* y (/ (- z t) (- (* z z) (* a a))))
37.0ms
(- (* z z) (* a a))
108.0ms
(* (* y (/ (- z t) (- (* z z) (* a a)))) (+ z a))
44.0ms
(/ (- z t) (- (* z z) (* a a)))

simplify129.0ms

Algorithm
egg-herbie
Counts
857 → 857
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
021806536
150016410

prune807.0ms

Filtered
857 candidates to 290 candidates (66.2%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New8570857
Fresh000
Picked011
Done033
Total8574861

Merged error: 0b

Counts
861 → 4

regimes166.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample532.0ms

Algorithm
intervals
Results
267.0ms8751×body80valid
0.0ms2×body1280valid
0.0ms2×body640valid
0.0ms1×body320valid