Details

Time bar (total: 22.2s)

sample108.0ms

Algorithm
intervals
Results
46.0ms283×body80valid

simplify1.0s

Counts
1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
2.2b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
27.5b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite562.0ms

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
associate-*r* associate-*l*
flip3-+ flip-+
associate-*r/ associate-*l/ prod-exp cbrt-unprod add-log-exp
times-frac pow-prod-down associate-/r* *-commutative unswap-sqr
cbrt-undiv div-exp associate-/r/ associate-/l/
distribute-rgt-in frac-2neg distribute-lft-in clear-num div-inv associate-/l*
Counts
4 → 87
Calls
4 calls:
55.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
152.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
193.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
157.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series1.1s

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
76.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
229.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
734.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify1.2s

Counts
99 → 99

prune845.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.3b

localize75.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z)
0.1b
(* (+ (* (+ (* (+ (* z (/ 7049496828096731.0 2251799813685248.0)) (/ 3143161857605767.0 281474976710656.0)) z) t) z) a) z)
0.1b
(/ y (/ (+ (* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z) (/ 2737158995491925.0 4503599627370496.0)) (+ (* (+ (* (+ (* (+ (* z (/ 7049496828096731.0 2251799813685248.0)) (/ 3143161857605767.0 281474976710656.0)) z) t) z) a) z) b)))
27.1b
(/ (+ (* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z) (/ 2737158995491925.0 4503599627370496.0)) (+ (* (+ (* (+ (* (+ (* z (/ 7049496828096731.0 2251799813685248.0)) (/ 3143161857605767.0 281474976710656.0)) z) t) z) a) z) b))

rewrite856.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
64×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
20×associate-*l/
18×associate-/r*
15×add-exp-log add-cbrt-cube
14×frac-add
12×flip3-+ flip-+
11×associate-/r/
pow1 associate-/l/
associate-*r* associate-*l* div-inv associate-/l*
cbrt-undiv div-exp add-log-exp
frac-2neg pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
4 → 157
Calls
4 calls:
121.0ms
(* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z)
169.0ms
(* (+ (* (+ (* (+ (* z (/ 7049496828096731.0 2251799813685248.0)) (/ 3143161857605767.0 281474976710656.0)) z) t) z) a) z)
254.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z) (/ 2737158995491925.0 4503599627370496.0)) (+ (* (+ (* (+ (* (+ (* z (/ 7049496828096731.0 2251799813685248.0)) (/ 3143161857605767.0 281474976710656.0)) z) t) z) a) z) b)))
297.0ms
(/ (+ (* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z) (/ 2737158995491925.0 4503599627370496.0)) (+ (* (+ (* (+ (* (+ (* z (/ 7049496828096731.0 2251799813685248.0)) (/ 3143161857605767.0 281474976710656.0)) z) t) z) a) z) b))

series1.0s

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z)
95.0ms
(* (+ (* (+ (* (+ (* z (/ 7049496828096731.0 2251799813685248.0)) (/ 3143161857605767.0 281474976710656.0)) z) t) z) a) z)
617.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z) (/ 2737158995491925.0 4503599627370496.0)) (+ (* (+ (* (+ (* (+ (* z (/ 7049496828096731.0 2251799813685248.0)) (/ 3143161857605767.0 281474976710656.0)) z) t) z) a) z) b)))
248.0ms
(/ (+ (* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z) (/ 2737158995491925.0 4503599627370496.0)) (+ (* (+ (* (+ (* (+ (* z (/ 7049496828096731.0 2251799813685248.0)) (/ 3143161857605767.0 281474976710656.0)) z) t) z) a) z) b))

simplify1.7s

Counts
169 → 169

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.3b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z)
0.1b
(* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z)
1.7b
(/ (+ (* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z) (/ 2737158995491925.0 4503599627370496.0)) (+ 0 b))
1.8b
(/ y (/ (+ (* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z) (/ 2737158995491925.0 4503599627370496.0)) (+ 0 b)))

rewrite592.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
100×*-un-lft-identity
72×add-sqr-sqrt
68×add-cube-cbrt
30×associate-*l/
22×associate-/r*
20×frac-add
16×distribute-lft-out
15×add-exp-log add-cbrt-cube
14×flip3-+ flip-+
11×associate-/r/
pow1 associate-/l/
associate-*r* associate-*l* div-inv associate-/l*
cbrt-undiv div-exp add-log-exp
frac-2neg pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
4 → 177
Calls
4 calls:
211.0ms
(* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z)
82.0ms
(* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z)
170.0ms
(/ (+ (* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z) (/ 2737158995491925.0 4503599627370496.0)) (+ 0 b))
114.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z) (/ 2737158995491925.0 4503599627370496.0)) (+ 0 b)))

series367.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z)
38.0ms
(* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z)
80.0ms
(/ (+ (* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z) (/ 2737158995491925.0 4503599627370496.0)) (+ 0 b))
192.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z) (/ 2737158995491925.0 4503599627370496.0)) (+ 0 b)))

simplify1.9s

Counts
189 → 189

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z)
0.1b
(* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z)
0.1b
(/ y (/ (+ (log (exp (* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z))) (/ 2737158995491925.0 4503599627370496.0)) (+ 0 b)))
1.8b
(log (exp (* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z)))

rewrite294.0ms

Algorithm
rewrite-expression-head
Rules
164×*-un-lft-identity
158×times-frac
80×add-sqr-sqrt
76×add-cube-cbrt
52×distribute-lft-out
26×associate-/r*
25×pow1
20×log-pow
18×associate-*l/
13×add-exp-log add-cbrt-cube
flip3-+ associate-/r/ flip-+
frac-add
add-log-exp
associate-*r* associate-*l*
div-inv
cbrt-undiv log-prod div-exp associate-/l*
exp-to-pow pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
exp-prod frac-2neg rem-log-exp clear-num sum-log
Counts
4 → 183
Calls
4 calls:
132.0ms
(* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z)
82.0ms
(* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z)
58.0ms
(/ y (/ (+ (log (exp (* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z))) (/ 2737158995491925.0 4503599627370496.0)) (+ 0 b)))
8.0ms
(log (exp (* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z)))

series328.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z)
38.0ms
(* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z)
181.0ms
(/ y (/ (+ (log (exp (* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z))) (/ 2737158995491925.0 4503599627370496.0)) (+ 0 b)))
51.0ms
(log (exp (* (+ (* (+ (* (+ z (/ 4288183283079449.0 281474976710656.0)) z) (/ 4428869650076171.0 140737488355328.0)) z) (/ 3360836715704971.0 281474976710656.0)) z)))

simplify1.7s

Counts
195 → 195

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.2b

regimes796.0ms

Accuracy

92.9% (1.4b remaining)

Error of 4.3b against oracle of 2.9b and baseline of 22.1b

bsearch377.0ms

Steps
ItersRangePoint
5
1.9680762236544087e+23
5.1954013525007336e+23
3.0050173727253705e+23
9
-4.4812647640016634e+77
-7.485834101697834e+70
-2.607950243078541e+73

simplify817.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.8s8844×body80valid