Details

Time bar (total: 4.1s)

sample20.0ms

Algorithm
intervals
Results
8.0ms270×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0175
1325
2604
31124
41724
52314
62794
73524
84854
96484
1010744
1113584
1213994
1313994

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
2.1b
(fma (/ y (- a t)) (- z t) x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
5.0ms
(/ y (- a t))
0.0ms
(fma (/ y (- a t)) (- z t) x)

series218.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ y (- a t))
187.0ms
(fma (/ y (- a t)) (- z t) x)

simplify110.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0166265
1444246
21278244
34359243
45001243

prune168.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ y (- a t)) (- z t)) x)
0.0b
(/ y (- a t))
9.5b
(* (/ y (- a t)) (- z t))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
63×*-un-lft-identity
47×add-cube-cbrt
36×prod-diff
31×times-frac
22×distribute-rgt-in associate-+l+ distribute-lft-in
21×associate-*l*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*r* associate-/r* add-log-exp
4×sub-neg flip3-- associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 145
Calls
3 calls:
12.0ms
(+ (* (/ y (- a t)) (- z t)) x)
8.0ms
(/ y (- a t))
26.0ms
(* (/ y (- a t)) (- z t))

series410.0ms

Counts
3 → 9
Calls
3 calls:
219.0ms
(+ (* (/ y (- a t)) (- z t)) x)
33.0ms
(/ y (- a t))
158.0ms
(* (/ y (- a t)) (- z t))

simplify67.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05661124
12255891
25001883

prune429.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y (/ (- z t) (- a t))) x)
0.0b
(/ (- z t) (- a t))
3.2b
(* y (/ (- z t) (- a t)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 120
Calls
3 calls:
8.0ms
(+ (* y (/ (- z t) (- a t))) x)
12.0ms
(/ (- z t) (- a t))
24.0ms
(* y (/ (- z t) (- a t)))

series220.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(+ (* y (/ (- z t) (- a t))) x)
54.0ms
(/ (- z t) (- a t))
74.0ms
(* y (/ (- z t) (- a t)))

simplify55.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0435778
11689734
25002734

prune335.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 68
Calls
4 calls:
2.0ms
(cbrt (- a t))
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))

series654.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(cbrt (- a t))
166.0ms
(cbrt (- z t))
165.0ms
(cbrt (- z t))
163.0ms
(cbrt (- z t))

simplify59.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0241452
1531432
21470420
35002392

prune367.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes153.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01919
11919

end0.0ms

sample556.0ms

Algorithm
intervals
Results
293.0ms8730×body80valid
0.0ms1×body640valid