Details

Time bar (total: 4.0s)

sample34.0ms

Algorithm
intervals
Results
10.0ms289×body80valid
4.0ms117×body80nan

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0227
1467
2727
3997
41207
51207

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.9b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* z z) (* t a))
3.3b
(* (* x y) z)
9.0b
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
20.4b
(sqrt (- (* z z) (* t a)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
11×add-sqr-sqrt
10×pow1 add-cube-cbrt *-un-lft-identity
9×sqrt-prod
6×times-frac prod-exp associate-/r* cbrt-unprod add-log-exp
4×expm1-log1p-u sqrt-div log1p-expm1-u
3×cbrt-undiv flip3-- div-exp associate-*r* pow-prod-down flip--
2×associate-/r/
1×sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log associate-*l* prod-diff clear-num *-commutative div-inv associate-/l*
Counts
4 → 86
Calls
4 calls:
10.0ms
(- (* z z) (* t a))
17.0ms
(* (* x y) z)
30.0ms
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
14.0ms
(sqrt (- (* z z) (* t a)))

series183.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- (* z z) (* t a))
21.0ms
(* (* x y) z)
77.0ms
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
52.0ms
(sqrt (- (* z z) (* t a)))

simplify55.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0368630
11941560
25001551

prune256.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ z (sqrt (- (* z z) (* t a))))
0.2b
(- (* z z) (* t a))
3.1b
(* (* x y) (/ z (sqrt (- (* z z) (* t a)))))
20.4b
(sqrt (- (* z z) (* t a)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
34×add-sqr-sqrt
33×add-cube-cbrt *-un-lft-identity
24×associate-*r* sqrt-prod
18×add-exp-log add-cbrt-cube
10×pow1
6×sqrt-div prod-exp associate-/r* cbrt-unprod add-log-exp
4×expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
3×cbrt-undiv div-exp pow-prod-down associate-/l*
2×div-inv
1×sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log associate-*r/ associate-*l* prod-diff clear-num *-commutative
Counts
4 → 122
Calls
4 calls:
15.0ms
(/ z (sqrt (- (* z z) (* t a))))
9.0ms
(- (* z z) (* t a))
46.0ms
(* (* x y) (/ z (sqrt (- (* z z) (* t a)))))
11.0ms
(sqrt (- (* z z) (* t a)))

series205.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ z (sqrt (- (* z z) (* t a))))
34.0ms
(- (* z z) (* t a))
73.0ms
(* (* x y) (/ z (sqrt (- (* z z) (* t a)))))
57.0ms
(sqrt (- (* z z) (* t a)))

simplify63.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04531067
12239963
25001942

prune316.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* z z) (* t a))
0.5b
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
2.2b
(* y (/ z (sqrt (- (* z z) (* t a)))))
20.4b
(sqrt (- (* z z) (* t a)))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
18×add-exp-log add-cbrt-cube
13×sqrt-prod
12×pow1
7×prod-exp cbrt-unprod
6×associate-*l* add-log-exp
4×expm1-log1p-u sqrt-div pow-prod-down log1p-expm1-u
3×flip3-- associate-*r/ flip-- unswap-sqr
2×cbrt-undiv div-exp associate-/r/ *-commutative
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff div-inv
Counts
4 → 102
Calls
4 calls:
9.0ms
(- (* z z) (* t a))
46.0ms
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
40.0ms
(* y (/ z (sqrt (- (* z z) (* t a)))))
14.0ms
(sqrt (- (* z z) (* t a)))

series213.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- (* z z) (* t a))
76.0ms
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
48.0ms
(* y (/ z (sqrt (- (* z z) (* t a)))))
55.0ms
(sqrt (- (* z z) (* t a)))

simplify52.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0425830
11842729
25001717

prune267.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* z z) (* t a))
0.5b
(* x (* (* y z) (/ 1 (sqrt (- (* z z) (* t a))))))
10.1b
(* (* y z) (/ 1 (sqrt (- (* z z) (* t a)))))
20.4b
(sqrt (- (* z z) (* t a)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
34×add-cbrt-cube
33×prod-exp
25×associate-*r*
20×add-sqr-sqrt
19×pow1 add-cube-cbrt *-un-lft-identity
18×times-frac
17×cbrt-unprod
12×sqrt-prod
9×pow-prod-down
8×div-exp
6×add-log-exp
4×cbrt-undiv expm1-log1p-u rec-exp sqrt-div 1-exp associate-*r/ associate-*l* log1p-expm1-u
3×flip3-- flip--
2×associate-/r/ un-div-inv *-commutative
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff div-inv
Counts
4 → 117
Calls
4 calls:
9.0ms
(- (* z z) (* t a))
80.0ms
(* x (* (* y z) (/ 1 (sqrt (- (* z z) (* t a))))))
48.0ms
(* (* y z) (/ 1 (sqrt (- (* z z) (* t a)))))
11.0ms
(sqrt (- (* z z) (* t a)))

series216.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (* z z) (* t a))
73.0ms
(* x (* (* y z) (/ 1 (sqrt (- (* z z) (* t a))))))
54.0ms
(* (* y z) (/ 1 (sqrt (- (* z z) (* t a)))))
55.0ms
(sqrt (- (* z z) (* t a)))

simplify68.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05501020
12809835
25001805

prune277.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.9b

regimes283.0ms

Accuracy

80.3% (3.7b remaining)

Error of 6.9b against oracle of 3.2b and baseline of 21.9b

bsearch74.0ms

Steps
ItersRangePoint
6
4.4132260206004296e+125
3.970733553694869e+126
5.834852428696667e+125
10
-2.642425440707785e+96
-3.1738050367834455e+84
-1.203020892426847e+85

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03412
15012
25012

end0.0ms

sample908.0ms

Algorithm
intervals
Results
311.0ms8858×body80valid
96.0ms3022×body80nan