Details

Time bar (total: 5.0s)

sample40.0ms

Algorithm
intervals
Results
19.0ms286×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

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)
2.9b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.3b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite131.0ms

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:
10.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
20.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
51.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
46.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series693.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
35.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
161.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
434.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify77.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05761201
127971026
250011026

prune433.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* 1.6453555072203998 (* y b)))
0.2b
(* 1.6453555072203998 (* y b))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
2.0ms
(+ x (* 1.6453555072203998 (* y b)))
6.0ms
(* 1.6453555072203998 (* y b))

series59.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ x (* 1.6453555072203998 (* y b)))
20.0ms
(* 1.6453555072203998 (* y b))

simplify76.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149139
1529122
22246122
35002122

prune86.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
12.9b
(cbrt (* 1.6453555072203998 (* y b)))
12.9b
(cbrt (* 1.6453555072203998 (* y b)))
12.9b
(cbrt (* 1.6453555072203998 (* y b)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
8.0ms
(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
4.0ms
(cbrt (* 1.6453555072203998 (* y b)))
4.0ms
(cbrt (* 1.6453555072203998 (* y b)))
4.0ms
(cbrt (* 1.6453555072203998 (* y b)))

series444.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
100.0ms
(cbrt (* 1.6453555072203998 (* y b)))
100.0ms
(cbrt (* 1.6453555072203998 (* y b)))
100.0ms
(cbrt (* 1.6453555072203998 (* y b)))

simplify106.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0205441
1703390
23412330
35001323

prune253.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.2b

localize16.0ms

Local error

Found 4 expressions with local error:

12.9b
(cbrt (* 1.6453555072203998 (* y b)))
12.9b
(cbrt (* 1.6453555072203998 (* y b)))
12.9b
(cbrt (* 1.6453555072203998 (* y b)))
12.9b
(cbrt (* 1.6453555072203998 (* y b)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 36
Calls
4 calls:
4.0ms
(cbrt (* 1.6453555072203998 (* y b)))
4.0ms
(cbrt (* 1.6453555072203998 (* y b)))
4.0ms
(cbrt (* 1.6453555072203998 (* y b)))
5.0ms
(cbrt (* 1.6453555072203998 (* y b)))

series408.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(cbrt (* 1.6453555072203998 (* y b)))
100.0ms
(cbrt (* 1.6453555072203998 (* y b)))
107.0ms
(cbrt (* 1.6453555072203998 (* y b)))
99.0ms
(cbrt (* 1.6453555072203998 (* y b)))

simplify104.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 5 (100.0ms)

IterNodesCost
088272
1168244
2405212
3988212
43084188
55001184

prune165.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.2b

regimes559.0ms

Accuracy

94.4% (1.3b remaining)

Error of 4.4b against oracle of 3.1b and baseline of 26.1b

bsearch284.0ms

Steps
ItersRangePoint
10
5.6176619114156805e+57
9.020856138625512e+71
1.8497684277457558e+58
7
-3.473570168653008e+54
-1.0380204309030769e+53
-6.99391831411033e+53

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07227
17227

end0.0ms

sample929.0ms

Algorithm
intervals
Results
617.0ms8901×body80valid