Details

Time bar (total: 5.0s)

sample39.0ms

Algorithm
intervals
Results
18.0ms285×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
2.9b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
30.7b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite138.0ms

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:
32.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
10.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
52.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
42.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series740.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
64.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
168.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
446.0ms
(/ (* 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 (15.0ms)

IterNodesCost
05731240
128061065
250011065

prune468.0ms

Filtered
99 candidates to 72 candidates (72.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.4b

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b
(* 1.6453555072203998 (* y b))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*r* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
6.0ms
(* 1.6453555072203998 (* y b))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(* 1.6453555072203998 (* y b))

simplify79.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08671
131856
2123256
3343656
4500256

prune73.0ms

Filtered
21 candidates to 11 candidates (52.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))
0.3b
(* (sqrt 1.6453555072203998) (* y b))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity sqrt-prod
2×associate-*r* *-commutative add-log-exp
Counts
2 → 45
Calls
2 calls:
20.0ms
(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))
8.0ms
(* (sqrt 1.6453555072203998) (* y b))

series118.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))
48.0ms
(* (sqrt 1.6453555072203998) (* y b))

simplify104.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0158242
1674190
23455190
35002186

prune135.0ms

Filtered
51 candidates to 29 candidates (56.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (sqrt 1.6453555072203998) (* y b))) (cbrt (* (sqrt 1.6453555072203998) (* y b))))
10.5b
(cbrt (* (sqrt 1.6453555072203998) (* y b)))
10.5b
(cbrt (* (sqrt 1.6453555072203998) (* y b)))
10.5b
(cbrt (* (sqrt 1.6453555072203998) (* y b)))

rewrite25.0ms

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 (* (sqrt 1.6453555072203998) (* y b))) (cbrt (* (sqrt 1.6453555072203998) (* y b))))
5.0ms
(cbrt (* (sqrt 1.6453555072203998) (* y b)))
5.0ms
(cbrt (* (sqrt 1.6453555072203998) (* y b)))
5.0ms
(cbrt (* (sqrt 1.6453555072203998) (* y b)))

series654.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (cbrt (* (sqrt 1.6453555072203998) (* y b))) (cbrt (* (sqrt 1.6453555072203998) (* y b))))
137.0ms
(cbrt (* (sqrt 1.6453555072203998) (* y b)))
142.0ms
(cbrt (* (sqrt 1.6453555072203998) (* y b)))
141.0ms
(cbrt (* (sqrt 1.6453555072203998) (* y b)))

simplify104.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0198538
1717469
23839418
35001377

prune198.0ms

Filtered
70 candidates to 49 candidates (70.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.4b

regimes703.0ms

Accuracy

94.1% (1.4b remaining)

Error of 4.3b against oracle of 2.9b and baseline of 26.5b

bsearch305.0ms

Steps
ItersRangePoint
10
4.0884001115827195e+20
2.4120748872659345e+35
2.2130374727720163e+35
9
-5.517392773027729e+49
-5.366994896589548e+43
-1.2757829690569881e+45

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07227
17227

end0.0ms

sample878.0ms

Algorithm
intervals
Results
581.0ms8872×body80valid