Details

Time bar (total: 6.2s)

sample23.0ms

Algorithm
intervals
Results
10.0ms349×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0154
1264
2493
3973
41553
52023
62413
73043
84363
95923
109903
1111253
1212603
1312603

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

2.5b
(fma (/ y a) (- z t) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ y a) (- z t) x)

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(fma (/ y a) (- z t) x)

simplify41.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
04169
19462
227153
3130753
4500153

prune34.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y a) (- z t)) x)
6.8b
(* (/ y a) (- z t))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity prod-diff
34×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
13×associate-*l*
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×expm1-log1p-u frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 98
Calls
2 calls:
12.0ms
(+ (* (/ y a) (- z t)) x)
10.0ms
(* (/ y a) (- z t))

series100.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ (* (/ y a) (- z t)) x)
51.0ms
(* (/ y a) (- z t))

simplify48.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0477779
11776547
25001533

prune248.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt z) 3)
1.7b
(* (/ y a) (fma (- t) 1 t))
4.7b
(/ (pow (cbrt z) 3) (/ a y))
5.0b
(* (/ y a) t)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
425×times-frac
238×add-sqr-sqrt
228×add-cube-cbrt *-un-lft-identity
90×cbrt-prod unpow-prod-down cube-prod
28×add-exp-log
26×associate-*l*
22×div-inv
19×add-cbrt-cube
18×associate-/l*
15×cube-mult unpow3 sqr-pow
13×associate-/r*
11×div-exp
9×pow1
6×associate-*r*
5×cbrt-undiv
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
3×pow-to-exp pow-unpow pow-exp
2×pow-pow pow-prod-down associate-*l/ *-commutative fma-udef
1×distribute-rgt-in frac-2neg distribute-lft-in pow1/3 clear-num associate-/r/ rem-cube-cbrt
Counts
4 → 388
Calls
4 calls:
3.0ms
(pow (cbrt z) 3)
6.0ms
(* (/ y a) (fma (- t) 1 t))
12.0ms
(/ (pow (cbrt z) 3) (/ a y))
6.0ms
(* (/ y a) t)

series1.6s

Counts
4 → 12
Calls
4 calls:
230.0ms
(pow (cbrt z) 3)
1.3s
(* (/ y a) (fma (- t) 1 t))
44.0ms
(/ (pow (cbrt z) 3) (/ a y))
20.0ms
(* (/ y a) t)

simplify58.0ms

Algorithm
egg-herbie
Counts
400 → 400
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
010842928
150022713

prune865.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ 1 a) (* z y)) (* (/ y a) t))
1.7b
(* (/ y a) (fma (- t) 1 t))
5.0b
(* (/ y a) t)
5.7b
(* (/ 1 a) (* z y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
39×associate-*l*
37×add-sqr-sqrt
36×add-exp-log
29×times-frac
27×add-cube-cbrt *-un-lft-identity
26×add-cbrt-cube
16×prod-exp
13×pow1
10×cbrt-unprod
7×associate-*r* associate-*l/
6×div-exp add-log-exp
5×pow-prod-down
4×cbrt-undiv expm1-log1p-u log1p-expm1-u unswap-sqr
3×*-commutative div-inv
2×rec-exp 1-exp fma-udef
1×distribute-rgt-in sub-neg flip3-- distribute-lft-in fma-neg diff-log prod-diff frac-sub flip-- sub-div
Counts
4 → 127
Calls
4 calls:
8.0ms
(- (* (/ 1 a) (* z y)) (* (/ y a) t))
6.0ms
(* (/ y a) (fma (- t) 1 t))
6.0ms
(* (/ y a) t)
8.0ms
(* (/ 1 a) (* z y))

series1.6s

Counts
4 → 12
Calls
4 calls:
51.0ms
(- (* (/ 1 a) (* z y)) (* (/ y a) t))
1.5s
(* (/ y a) (fma (- t) 1 t))
24.0ms
(* (/ y a) t)
21.0ms
(* (/ 1 a) (* z y))

simplify64.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0553703
12437601
25001587

prune405.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes199.0ms

Accuracy

63.6% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.4b

bsearch56.0ms

Steps
ItersRangePoint
4
3.0203007315350746e+44
5.620990192330569e+44
3.069496168426095e+44
8
-1.692910437382716e+75
-4.2058793723955496e+72
-4.2657946166535284e+72

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0258
1258

end0.0ms

sample609.0ms

Algorithm
intervals
Results
305.0ms10609×body80valid