Details

Time bar (total: 6.6s)

sample44.0ms

Algorithm
intervals
Results
23.0ms278×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune4.0ms

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: 30.5b

Counts
2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
1.9b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
29.2b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-exp-log add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
10×pow1
9×associate-*r* associate-*l*
5×flip3-+ flip-+
4×associate-*r/ associate-*l/ prod-exp cbrt-unprod add-log-exp
3×times-frac pow-prod-down associate-/r* *-commutative unswap-sqr
2×cbrt-undiv div-exp associate-/r/ associate-/l/
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num div-inv associate-/l*
Counts
4 → 87
Calls
4 calls:
7.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
10.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
15.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
27.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series721.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
40.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
170.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
445.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify79.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05761201
127971026
250011026

prune430.0ms

Filtered
99 candidates to 71 candidates (71.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New90999
Fresh000
Picked101
Done000
Total919100

Merged error: 2.9b

Counts
100 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
0.1b
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
27.8b
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
21×associate-*r*
19×times-frac
15×add-exp-log add-cbrt-cube
10×pow1
9×associate-*l*
5×flip3-+ flip-+
4×associate-*l/ prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv div-exp div-inv associate-/l/
1×frac-2neg associate-*r/ clear-num
Counts
4 → 105
Calls
4 calls:
7.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
10.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
26.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
26.0ms
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series775.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
37.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
456.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
214.0ms
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify86.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05861865
126291663
250031663

prune470.0ms

Filtered
117 candidates to 84 candidates (71.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1161117
Fresh178
Picked011
Done000
Total1179126

Merged error: 0.7b

Counts
126 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z)))))
0.3b
(* 36.527041698806414 (/ 1 z))
3.8b
(* y (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z))))
6.9b
(/ t (pow z 2))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
35×times-frac
32×*-un-lft-identity
31×add-cube-cbrt
20×add-exp-log
16×associate-*r*
13×add-cbrt-cube
12×unpow-prod-down
9×associate-*r/
8×pow1 associate-/r*
6×distribute-rgt-in associate-+r+ distribute-lft-in associate-*l* add-log-exp
5×div-exp prod-exp
4×sub-neg associate--l+ frac-sub unpow2 unswap-sqr sqr-pow
3×flip3-+ un-div-inv cbrt-unprod flip-+ associate-/l*
2×cbrt-undiv pow-prod-down *-commutative div-inv
1×+-commutative pow-to-exp rec-exp flip3-- frac-2neg 1-exp pow-exp clear-num sum-log flip--
Counts
4 → 132
Calls
4 calls:
12.0ms
(+ x (* y (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z)))))
7.0ms
(* 36.527041698806414 (/ 1 z))
16.0ms
(* y (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z))))
6.0ms
(/ t (pow z 2))

series180.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(+ x (* y (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z)))))
20.0ms
(* 36.527041698806414 (/ 1 z))
52.0ms
(* y (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z))))
22.0ms
(/ t (pow z 2))

simplify79.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0598895
12574804
25002781

prune387.0ms

Filtered
144 candidates to 95 candidates (66.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1404144
Fresh077
Picked101
Done011
Total14112153

Merged error: 0.7b

Counts
153 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

3.8b
(* y (- (+ (* (/ 1 (* (cbrt (pow z 2)) (cbrt (pow z 2)))) (/ t (cbrt (pow z 2)))) 3.13060547623) (* 36.527041698806414 (/ 1 z))))
32.7b
(cbrt (pow z 2))
32.7b
(cbrt (pow z 2))
32.7b
(cbrt (pow z 2))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
14×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
8×associate-*r/
6×pow1 add-exp-log add-cbrt-cube
4×frac-sub add-log-exp
3×distribute-rgt-in distribute-lft-in pow1/3 associate-*r* associate-*l* unpow2 sqr-pow
2×sub-neg flip3-+ associate--l+ un-div-inv flip-+
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
4 → 78
Calls
4 calls:
21.0ms
(* y (- (+ (* (/ 1 (* (cbrt (pow z 2)) (cbrt (pow z 2)))) (/ t (cbrt (pow z 2)))) 3.13060547623) (* 36.527041698806414 (/ 1 z))))
2.0ms
(cbrt (pow z 2))
2.0ms
(cbrt (pow z 2))
2.0ms
(cbrt (pow z 2))

series606.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* y (- (+ (* (/ 1 (* (cbrt (pow z 2)) (cbrt (pow z 2)))) (/ t (cbrt (pow z 2)))) 3.13060547623) (* 36.527041698806414 (/ 1 z))))
179.0ms
(cbrt (pow z 2))
187.0ms
(cbrt (pow z 2))
184.0ms
(cbrt (pow z 2))

simplify52.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0312934
11375835
25002786

prune271.0ms

Filtered
90 candidates to 64 candidates (71.1%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh01010
Picked011
Done011
Total9012102

Merged error: 0.7b

Counts
102 → 12

regimes784.0ms

Accuracy

97% (0.8b remaining)

Error of 1.2b against oracle of 0.4b and baseline of 27.8b

bsearch241.0ms

Steps
ItersRangePoint
5
10613635034521.37
28979838415330.88
28583826627976.125
10
-5.108539494239229e+59
-1.8021205500671333e+45
-2.1779854039944504e+50

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07834
17834

end0.0ms

sample1.1s

Algorithm
intervals
Results
751.0ms8895×body80valid