Details

Time bar (total: 2.6s)

sample49.0ms

Algorithm
intervals
Results
17.0ms344×body80valid

simplify157.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1314
2574
3914
41174
51364
61584
72124
84214
98804
1016184
1129914
1247574
1350014

prune3.0ms

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: 1.9b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
5.4b
(* (/ x y) (- z t))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
7.0ms
(+ (* (/ x y) (- z t)) t)
8.0ms
(* (/ x y) (- z t))

series25.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ (* (/ x y) (- z t)) t)
12.0ms
(* (/ x y) (- z t))

simplify33.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0314342
11191302
25002302

prune84.0ms

Filtered
63 candidates to 43 candidates (31.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New56763
Fresh000
Picked011
Done000
Total56864

Merged error: 0.0b

Counts
64 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.7b
(* (/ (cbrt x) y) (- z t))
4.1b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
32×add-sqr-sqrt
29×associate-*l*
24×*-un-lft-identity
23×times-frac
22×add-cube-cbrt
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1 frac-times associate-*r/
10×cbrt-undiv distribute-rgt-in distribute-lft-in
6×sub-neg flip3-- 1-exp associate-*r* flip--
4×pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×distribute-lft-out-- difference-of-squares
Counts
4 → 135
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(* (/ (cbrt x) y) (- z t))
16.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

series102.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
23.0ms
(cbrt x)
41.0ms
(* (/ (cbrt x) y) (- z t))
17.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

simplify108.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
07181219
13538957
25001808

prune309.0ms

Filtered
147 candidates to 87 candidates (40.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1470147
Fresh066
Picked011
Done011
Total1478155

Merged error: 0.0b

Counts
155 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (/ (- z t) y)) t)
0.0b
(/ (- z t) y)
7.3b
(* x (/ (- z t) y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
7.0ms
(+ (* x (/ (- z t) y)) t)
5.0ms
(/ (- z t) y)
9.0ms
(* x (/ (- z t) y))

series28.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (* x (/ (- z t) y)) t)
6.0ms
(/ (- z t) y)
12.0ms
(* x (/ (- z t) y))

simplify42.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0342501
11379468
25001456

prune93.0ms

Filtered
96 candidates to 65 candidates (32.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New93396
Fresh325
Picked011
Done022
Total968104

Merged error: 0.0b

Counts
104 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (* (- z t) (/ 1 y))) t)
0.2b
(* (- z t) (/ 1 y))
7.3b
(* x (* (- z t) (/ 1 y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
21×add-sqr-sqrt
17×add-cbrt-cube
15×*-un-lft-identity
14×associate-*r*
13×prod-exp
12×add-cube-cbrt
11×times-frac
10×pow1
8×associate-*r/ associate-*l*
7×cbrt-unprod
5×add-log-exp
4×frac-times flip3-- div-exp pow-prod-down associate-*l/ flip--
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp un-div-inv *-commutative
1×+-commutative flip3-+ sum-log flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 81
Calls
3 calls:
10.0ms
(+ (* x (* (- z t) (/ 1 y))) t)
10.0ms
(* (- z t) (/ 1 y))
10.0ms
(* x (* (- z t) (/ 1 y)))

series31.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ (* x (* (- z t) (/ 1 y))) t)
8.0ms
(* (- z t) (/ 1 y))
12.0ms
(* x (* (- z t) (/ 1 y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0393501
11644428
25002413

prune75.0ms

Filtered
90 candidates to 59 candidates (34.4%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New90090
Fresh044
Picked011
Done033
Total90898

Merged error: 0.0b

Counts
98 → 8

regimes435.0ms

Accuracy

-32.1% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 1.9b

bsearch43.0ms

Steps
ItersRangePoint
8
2.675646355851914e-280
2.932106385542887e-277
9.001349165178734e-279
9
-4.445766815714988e+150
-3.844365527792186e+142
-4.051753891762393e+144

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03113
13113

end0.0ms

sample787.0ms

Algorithm
intervals
Results
316.0ms10605×body80valid

Profiling

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