Details

Time bar (total: 4.0s)

sample27.0ms

Algorithm
intervals
Results
9.0ms231×body80valid
2.0ms14×body640valid
2.0ms10×body1280valid
1.0ms10×body320valid
1.0ms11×body160valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (11.0ms)

IterNodesCost
0226
1526
21116
32136
45175
510515
620555
732805
850025

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.6b

Counts
2 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
11.8b
(fma (/ y (- a t)) (- t z) (+ x y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
6.0ms
(/ y (- a t))
1.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

series103.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ y (- a t))
73.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

simplify43.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0170278
1468257
21400257
35002257

prune182.0ms

Filtered
55 candidates to 43 candidates (78.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New431255
Fresh011
Picked101
Done000
Total441357

Merged error: 6.8b

Counts
57 → 13

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.3b
(* y (/ 1 (- a t)))
11.8b
(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp flip-- cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 99
Calls
3 calls:
6.0ms
(/ 1 (- a t))
10.0ms
(* y (/ 1 (- a t)))
1.0ms
(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

series142.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ 1 (- a t))
27.0ms
(* y (/ 1 (- a t)))
75.0ms
(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

simplify74.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0288510
11143440
24305394
35001391

prune213.0ms

Filtered
108 candidates to 64 candidates (59.3%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1062108
Fresh11112
Picked011
Done000
Total10714121

Merged error: 6.8b

Counts
121 → 14

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- a t))
4.7b
(+ (* (/ y (- a t)) (- t z)) (+ x y))
7.6b
(* (/ y (- a t)) (- t z))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
63×*-un-lft-identity
47×add-cube-cbrt
36×prod-diff
31×times-frac
22×distribute-rgt-in associate-+l+ distribute-lft-in
21×associate-*l*
10×add-exp-log frac-add add-cbrt-cube
8×flip3-- flip-- distribute-lft-out-- add-log-exp difference-of-squares
6×frac-times flip3-+ associate-*r/ flip-+
5×pow1 associate-*r* associate-/r*
4×sub-neg associate-/r/
3×expm1-log1p-u associate-*l/ sum-log log1p-expm1-u associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative associate-+r+ fma-def frac-2neg pow-prod-down clear-num *-commutative
Counts
3 → 157
Calls
3 calls:
5.0ms
(/ y (- a t))
15.0ms
(+ (* (/ y (- a t)) (- t z)) (+ x y))
13.0ms
(* (/ y (- a t)) (- t z))

series275.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ y (- a t))
97.0ms
(+ (* (/ y (- a t)) (- t z)) (+ x y))
150.0ms
(* (/ y (- a t)) (- t z))

simplify100.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
08591392
140161146
250011146

prune440.0ms

Filtered
166 candidates to 119 candidates (71.7%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New15313166
Fresh5712
Picked101
Done011
Total15921180

Merged error: 6.8b

Counts
180 → 21

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ y (- a t)) t) (* (/ y (- a t)) (- z)))
3.4b
(* (/ y (- a t)) (- z))
4.7b
(+ (+ (* (/ y (- a t)) t) (* (/ y (- a t)) (- z))) (+ x y))
6.3b
(* (/ y (- a t)) t)

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
44×*-un-lft-identity
42×associate-*l*
32×times-frac
27×add-cube-cbrt
18×add-log-exp
14×add-exp-log add-cbrt-cube
13×associate-*r*
9×frac-add sum-log
8×pow1 associate-*l/
7×flip3-+ flip-+
6×distribute-lft-out-- difference-of-squares
5×fma-def distribute-rgt-neg-out distribute-lft-out
4×expm1-log1p-u prod-exp associate-/r/ cbrt-unprod log1p-expm1-u unswap-sqr
3×distribute-lft-neg-in distribute-rgt-neg-in
2×cbrt-undiv +-commutative associate-+l- flip3-- div-exp unsub-neg pow-prod-down *-commutative flip-- div-inv
1×neg-mul-1 associate-+l+ associate-+r+
Counts
4 → 142
Calls
4 calls:
8.0ms
(+ (* (/ y (- a t)) t) (* (/ y (- a t)) (- z)))
18.0ms
(* (/ y (- a t)) (- z))
24.0ms
(+ (+ (* (/ y (- a t)) t) (* (/ y (- a t)) (- z))) (+ x y))
11.0ms
(* (/ y (- a t)) t)

series395.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(+ (* (/ y (- a t)) t) (* (/ y (- a t)) (- z)))
85.0ms
(* (/ y (- a t)) (- z))
95.0ms
(+ (+ (* (/ y (- a t)) t) (* (/ y (- a t)) (- z))) (+ x y))
40.0ms
(* (/ y (- a t)) t)

simplify86.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07451186
132341043
250021011

prune374.0ms

Filtered
154 candidates to 116 candidates (75.3%)
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New1495154
Fresh61319
Picked011
Done011
Total15520175

Merged error: 6.8b

Counts
175 → 20

regimes552.0ms

Accuracy

36.6% (3.7b remaining)

Error of 9.9b against oracle of 6.3b and baseline of 12.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03224
13224

end0.0ms

sample758.0ms

Algorithm
intervals
Results
302.0ms7353×body80valid
67.0ms434×body640valid
48.0ms257×body1280valid
44.0ms403×body320valid
20.0ms256×body160valid
4.0ms18×body2560valid

Profiling

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