Details

Time bar (total: 3.7s)

sample55.0ms

Algorithm
intervals
Results
23.0ms774×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750014

prune4.0ms

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: 9.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (cosh x) (/ y x))
8.5b
(/ (* (cosh x) (/ y x)) z)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/
2×frac-times associate-*r/ associate-*l/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 60
Calls
2 calls:
6.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series47.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(* (cosh x) (/ y x))
30.0ms
(/ (* (cosh x) (/ y x)) z)

simplify40.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0338374
11422317
25002317

prune219.0ms

Filtered
66 candidates to 49 candidates (25.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New58866
Fresh000
Picked101
Done000
Total59867

Merged error: 0.5b

Counts
67 → 8

localize13.0ms

Local error

Found 2 expressions with local error:

0.9b
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
6.0b
(/ (* z x) y)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
16×times-frac
12×cbrt-undiv div-exp
10×associate-/r*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×prod-exp cbrt-unprod
4×div-inv
2×pow1 frac-2neg associate-*r/ clear-num associate-/l/ associate-/l* add-log-exp
1×flip3-+ associate-/r/ flip-+
Counts
2 → 61
Calls
2 calls:
9.0ms
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
4.0ms
(/ (* z x) y)

series30.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
5.0ms
(/ (* z x) y)

simplify51.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0395582
12337455
25001455

prune192.0ms

Filtered
67 candidates to 44 candidates (34.3%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New62567
Fresh167
Picked011
Done000
Total631275

Merged error: 0.5b

Counts
75 → 12

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1/2 (* z x))
0.2b
(* y (+ (exp (* -1 x)) (exp x)))
6.6b
(* (/ 1/2 (* z x)) (* y (+ (exp (* -1 x)) (exp x))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
13×prod-exp cbrt-unprod
11×add-sqr-sqrt *-un-lft-identity
10×pow1 associate-*l*
9×add-cube-cbrt
8×associate-*r/
6×cbrt-undiv times-frac div-exp
5×distribute-rgt-in distribute-lft-in associate-*r*
4×pow-prod-down
3×flip3-+ flip-+ associate-/l* add-log-exp
2×frac-times *-commutative div-inv
1×frac-2neg associate-*l/ clear-num associate-/r* distribute-lft-out unswap-sqr
Counts
3 → 83
Calls
3 calls:
4.0ms
(/ 1/2 (* z x))
6.0ms
(* y (+ (exp (* -1 x)) (exp x)))
10.0ms
(* (/ 1/2 (* z x)) (* y (+ (exp (* -1 x)) (exp x))))

series42.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ 1/2 (* z x))
9.0ms
(* y (+ (exp (* -1 x)) (exp x)))
29.0ms
(* (/ 1/2 (* z x)) (* y (+ (exp (* -1 x)) (exp x))))

simplify62.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0459754
12493606
25002605

prune267.0ms

Filtered
92 candidates to 55 candidates (40.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New89392
Fresh4610
Picked101
Done011
Total9410104

Merged error: 0.5b

Counts
104 → 10

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(* y (+ (exp (* -1 x)) (exp x)))
0.3b
(* (/ 1 z) (/ 1/2 x))
6.6b
(* (* (/ 1 z) (/ 1/2 x)) (* y (+ (exp (* -1 x)) (exp x))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
100×add-exp-log
58×add-cbrt-cube
52×prod-exp
38×add-sqr-sqrt
28×cbrt-unprod
25×times-frac
24×div-exp
23×*-un-lft-identity
19×pow1 add-cube-cbrt
18×associate-*r*
17×associate-*l*
16×associate-*r/
12×cbrt-undiv
10×frac-times pow-prod-down
7×associate-*l/ unswap-sqr
6×rec-exp 1-exp
5×distribute-rgt-in distribute-lft-in flip3-+ flip-+
3×*-commutative add-log-exp
2×div-inv
1×distribute-lft-out
Counts
3 → 136
Calls
3 calls:
6.0ms
(* y (+ (exp (* -1 x)) (exp x)))
12.0ms
(* (/ 1 z) (/ 1/2 x))
13.0ms
(* (* (/ 1 z) (/ 1/2 x)) (* y (+ (exp (* -1 x)) (exp x))))

series39.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(* y (+ (exp (* -1 x)) (exp x)))
3.0ms
(* (/ 1 z) (/ 1/2 x))
26.0ms
(* (* (/ 1 z) (/ 1/2 x)) (* y (+ (exp (* -1 x)) (exp x))))

simplify91.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07791287
138661006
25001999

prune418.0ms

Filtered
145 candidates to 79 candidates (45.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1441145
Fresh268
Picked011
Done011
Total1469155

Merged error: 0.5b

Counts
155 → 9

regimes458.0ms

Accuracy

89.7% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 7.2b

bsearch83.0ms

Steps
ItersRangePoint
2
3.4085458735417343e+59
3.8576889823859817e+59
3.5769745393583267e+59
8
-1.6035580390081368e-57
-1.285161386400459e-60
-1.5781043513745555e-57

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03325
13325

end0.0ms

sample1.4s

Algorithm
intervals
Results
683.0ms22412×body80valid

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