Details

Time bar (total: 2.5s)

sample23.0ms

Algorithm
intervals
Results
9.0ms348×body80valid

simplify57.0ms

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: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

3.2b
(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)

simplify47.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
04169
19462
227153
3130753
4500153

prune41.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y a) (- z t)) x)
7.9b
(* (/ y a) (- z t))

rewrite27.0ms

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:
11.0ms
(+ (* (/ y a) (- z t)) x)
11.0ms
(* (/ y a) (- z t))

series101.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (* (/ y a) (- z t)) x)
55.0ms
(* (/ y a) (- z t))

simplify54.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0477779
11776547
25001533

prune257.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ y a) (fma 1 z (- (* t 1)))) (fma (fma (- t) 1 t) (/ y a) x))
2.2b
(fma (fma (- t) 1 t) (/ y a) x)
7.9b
(* (/ y a) (fma 1 z (- (* t 1))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity
10×times-frac
8×add-exp-log add-cbrt-cube
6×fma-udef
5×pow1 add-log-exp
3×expm1-log1p-u associate-*r* log1p-expm1-u
2×distribute-rgt-in associate-+l+ distribute-lft-in prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative associate-+r+ fma-def flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv
Counts
3 → 63
Calls
3 calls:
6.0ms
(+ (* (/ y a) (fma 1 z (- (* t 1)))) (fma (fma (- t) 1 t) (/ y a) x))
1.0ms
(fma (fma (- t) 1 t) (/ y a) x)
7.0ms
(* (/ y a) (fma 1 z (- (* t 1))))

series210.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(+ (* (/ y a) (fma 1 z (- (* t 1)))) (fma (fma (- t) 1 t) (/ y a) x))
57.0ms
(fma (fma (- t) 1 t) (/ y a) x)
64.0ms
(* (/ y a) (fma 1 z (- (* t 1))))

simplify43.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0295577
11199503
25001492

prune253.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* t y) a))
2.2b
(fma z (/ y a) (- x (/ (* t y) a)))
4.5b
(/ (* t y) a)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity prod-diff
19×add-cube-cbrt
12×times-frac
8×add-exp-log add-cbrt-cube
5×add-log-exp
4×div-inv
3×pow1 expm1-log1p-u fma-neg associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp
1×sub-neg flip3-- frac-2neg diff-log prod-exp clear-num flip-- cbrt-unprod fma-udef associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 73
Calls
3 calls:
6.0ms
(- x (/ (* t y) a))
1.0ms
(fma z (/ y a) (- x (/ (* t y) a)))
7.0ms
(/ (* t y) a)

series105.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- x (/ (* t y) a))
52.0ms
(fma z (/ y a) (- x (/ (* t y) a)))
20.0ms
(/ (* t y) a)

simplify47.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0326707
11319498
25001494

prune172.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes350.0ms

Accuracy

70.2% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02717
12717

end0.0ms

sample606.0ms

Algorithm
intervals
Results
304.0ms10614×body80valid