Details

Time bar (total: 2.8s)

sample21.0ms

Algorithm
intervals
Results
9.0ms269×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0175
1355
2605
3965
41405
51745
62025
72425
82895
93835
105235
118185
128615
138635
148635

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.8b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y z) t) (- a z)))
0.0b
(* (- y z) t)
13.3b
(/ (* (- y z) t) (- a z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-*l* associate-/r* add-log-exp
4×associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
7.0ms
(+ x (/ (* (- y z) t) (- a z)))
6.0ms
(* (- y z) t)
12.0ms
(/ (* (- y z) t) (- a z))

series172.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(+ x (/ (* (- y z) t) (- a z)))
32.0ms
(* (- y z) t)
63.0ms
(/ (* (- y z) t) (- a z))

simplify46.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326368
11401329
25001329

prune155.0ms

Filtered
72 candidates to 52 candidates (72.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New68472
Fresh000
Picked011
Done000
Total68573

Merged error: 0b

Counts
73 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y z) (/ (- a z) t)))
9.3b
(/ (- y z) (/ (- a z) t))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
185×times-frac
154×*-un-lft-identity
152×add-sqr-sqrt
76×add-cube-cbrt
38×distribute-lft-out-- difference-of-squares
19×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 150
Calls
2 calls:
29.0ms
(+ x (/ (- y z) (/ (- a z) t)))
11.0ms
(/ (- y z) (/ (- a z) t))

series172.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(+ x (/ (- y z) (/ (- a z) t)))
98.0ms
(/ (- y z) (/ (- a z) t))

simplify74.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
07351520
127171477
250021476

prune302.0ms

Filtered
156 candidates to 103 candidates (66.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1560156
Fresh033
Picked011
Done011
Total1565161

Merged error: 0b

Counts
161 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (- y z) (/ t (- a z))))
0.0b
(/ t (- a z))
8.9b
(* (- y z) (/ t (- a z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*l* associate-/r* add-log-exp
4×flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 94
Calls
3 calls:
3.0ms
(+ x (* (- y z) (/ t (- a z))))
5.0ms
(/ t (- a z))
12.0ms
(* (- y z) (/ t (- a z)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+ x (* (- y z) (/ t (- a z))))
28.0ms
(/ t (- a z))
67.0ms
(* (- y z) (/ t (- a z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0365574
11604535
25001535

prune211.0ms

Filtered
103 candidates to 74 candidates (71.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh022
Picked011
Done022
Total1035108

Merged error: 0b

Counts
108 → 5

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y z) t) (/ 1 (- a z))))
0.0b
(* (- y z) t)
13.4b
(* (* (- y z) t) (/ 1 (- a z)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
24×add-sqr-sqrt associate-*r*
22×*-un-lft-identity
17×add-cbrt-cube
15×times-frac
14×add-cube-cbrt
13×prod-exp
10×pow1
8×associate-*l/
7×cbrt-unprod
6×associate-*l*
5×add-log-exp
4×flip3-- div-exp pow-prod-down flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv frac-times rec-exp 1-exp associate-/r/ *-commutative
1×+-commutative flip3-+ associate-*r/ sum-log un-div-inv flip-+ div-inv unswap-sqr
Counts
3 → 83
Calls
3 calls:
6.0ms
(+ x (* (* (- y z) t) (/ 1 (- a z))))
11.0ms
(* (- y z) t)
26.0ms
(* (* (- y z) t) (/ 1 (- a z)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(+ x (* (* (- y z) t) (/ 1 (- a z))))
28.0ms
(* (- y z) t)
65.0ms
(* (* (- y z) t) (/ 1 (- a z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0458546
12398465
25003444

prune159.0ms

Filtered
92 candidates to 58 candidates (63.0%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done033
Total92597

Merged error: 0b

Counts
97 → 5

regimes211.0ms

Accuracy

90% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02518
12518

end0.0ms

sample548.0ms

Algorithm
intervals
Results
294.0ms8661×body80valid
0.0ms1×body160valid

Profiling

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