Details

Time bar (total: 5.1s)

sample42.0ms

Algorithm
intervals
Results
19.0ms283×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: 30.9b

localize30.0ms

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)
2.2b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
29.8b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite64.0ms

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:
13.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
7.0ms
(* (+ (* z 3.13060547623) 11.1667541262) 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))

series876.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
66.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
167.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
581.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify82.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05731240
128061065
250011065

prune451.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.9b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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:
3.0ms
(+ x (* 1.6453555072203998 (* y b)))
5.0ms
(* 1.6453555072203998 (* y b))

series61.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ x (* 1.6453555072203998 (* y b)))
21.0ms
(* 1.6453555072203998 (* y b))

simplify78.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149139
1529122
22246122
35002122

prune90.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z))))
0.3b
(* 36.527041698806414 (/ y z))
1.8b
(- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z)))
13.6b
(/ (* t y) (pow z 2))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
21×add-sqr-sqrt
18×*-un-lft-identity times-frac add-log-exp
16×add-cube-cbrt
14×add-cbrt-cube
13×associate-*r*
8×associate-/r*
7×div-exp
6×pow1 unpow-prod-down
5×prod-exp sum-log
4×diff-log
3×cbrt-undiv associate-+r+ associate-*r/ associate-*l* cbrt-unprod
2×pow-to-exp sub-neg flip3-+ pow-exp associate--l+ frac-sub flip-+ div-inv unpow2 unswap-sqr sqr-pow
1×+-commutative associate-+r- flip3-- frac-2neg pow-prod-down clear-num *-commutative flip-- distribute-lft-out associate-/l*
Counts
4 → 101
Calls
4 calls:
9.0ms
(+ x (- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z))))
7.0ms
(* 36.527041698806414 (/ y z))
9.0ms
(- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z)))
6.0ms
(/ (* t y) (pow z 2))

series199.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(+ x (- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z))))
18.0ms
(* 36.527041698806414 (/ y z))
60.0ms
(- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z)))
31.0ms
(/ (* t y) (pow z 2))

simplify73.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0550772
12589718
25001718

prune329.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 36.527041698806414 (/ y z))
1.8b
(- (+ (* 3.13060547623 y) (* t (/ y (pow z 2)))) (* 36.527041698806414 (/ y z)))
7.3b
(* t (/ y (pow z 2)))
8.6b
(/ y (pow z 2))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt times-frac
45×add-cube-cbrt *-un-lft-identity
41×associate-*r*
24×add-exp-log
22×unpow-prod-down
16×add-cbrt-cube
9×add-log-exp
8×pow1 associate-/r* unpow2 sqr-pow
7×div-exp unswap-sqr
6×associate-*l* prod-exp
4×associate-*r/ cbrt-unprod
3×cbrt-undiv div-inv associate-/l*
2×pow-to-exp diff-log pow-prod-down pow-exp *-commutative frac-sub
1×sub-neg flip3-- frac-2neg flip3-+ associate--l+ clear-num sum-log flip-- flip-+
Counts
4 → 149
Calls
4 calls:
10.0ms
(* 36.527041698806414 (/ y z))
6.0ms
(- (+ (* 3.13060547623 y) (* t (/ y (pow z 2)))) (* 36.527041698806414 (/ y z)))
11.0ms
(* t (/ y (pow z 2)))
5.0ms
(/ y (pow z 2))

series134.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* 36.527041698806414 (/ y z))
61.0ms
(- (+ (* 3.13060547623 y) (* t (/ y (pow z 2)))) (* 36.527041698806414 (/ y z)))
32.0ms
(* t (/ y (pow z 2)))
23.0ms
(/ y (pow z 2))

simplify81.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0599900
12977812
25001803

prune432.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

regimes639.0ms

Accuracy

95.1% (1.4b remaining)

Error of 1.7b against oracle of 0.4b and baseline of 27.7b

bsearch274.0ms

Steps
ItersRangePoint
9
6.164824567421913
499809.50579039566
495619.9593422122
8
-1.8980680799261468e+65
-2.780970714508044e+62
-4.0338182780641427e+62

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07838
17838

end0.0ms

sample955.0ms

Algorithm
intervals
Results
617.0ms8887×body80valid