Details

Time bar (total: 2.9s)

sample21.0ms

Algorithm
intervals
Results
9.0ms351×body80valid

simplify101.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0153
1333
2633
31073
41483
51813
62203
73073
85873
911813
1023143
1137383
1250013

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
7.1b
(* (/ x y) (- z t))

rewrite32.0ms

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:
10.0ms
(+ (* (/ x y) (- z t)) t)
18.0ms
(* (/ x y) (- z t))

series88.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (* (/ x y) (- z t)) t)
55.0ms
(* (/ x y) (- z t))

simplify54.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0468779
11866547
25001533

prune226.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.7b
(fma (fma (- t) 1 t) (/ x y) t)
7.1b
(* (fma 1 z (- (* (cbrt t) (* (cbrt t) (cbrt t))))) (/ x y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
13×associate-*r*
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1 cbrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l*
2×pow1/3 prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative fma-udef div-inv
Counts
4 → 70
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
0.0ms
(fma (fma (- t) 1 t) (/ x y) t)
7.0ms
(* (fma 1 z (- (* (cbrt t) (* (cbrt t) (cbrt t))))) (/ x y))

series447.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt t)
168.0ms
(cbrt t)
38.0ms
(fma (fma (- t) 1 t) (/ x y) t)
73.0ms
(* (fma 1 z (- (* (cbrt t) (* (cbrt t) (cbrt t))))) (/ x y))

simplify34.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0247586
1930502
25001407

prune288.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow (/ (* (- z t) x) y) 1) t)
0.0b
(* (- z t) x)
6.0b
(/ (* (- z t) x) y)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
11×fma-def
10×add-exp-log add-cube-cbrt add-cbrt-cube
7×unpow-prod-down
6×times-frac
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×expm1-log1p-u associate-*r* associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod div-inv associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr sqr-pow
Counts
3 → 74
Calls
3 calls:
15.0ms
(+ (pow (/ (* (- z t) x) y) 1) t)
10.0ms
(* (- z t) x)
6.0ms
(/ (* (- z t) x) y)

series102.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ (pow (/ (* (- z t) x) y) 1) t)
27.0ms
(* (- z t) x)
43.0ms
(/ (* (- z t) x) y)

simplify39.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0298351
11211298
25001287

prune217.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow (* (* (- z t) x) (/ 1 y)) 1) t)
0.0b
(* (- z t) x)
6.1b
(* (* (- z t) x) (/ 1 y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
17×add-sqr-sqrt *-un-lft-identity add-cbrt-cube
16×associate-*r*
13×add-cube-cbrt prod-exp
10×pow1
9×times-frac
8×associate-*l/
7×cbrt-unprod
6×associate-*l*
5×fma-def add-log-exp
4×div-exp pow-prod-down
3×expm1-log1p-u flip3-- flip-- log1p-expm1-u
2×cbrt-undiv frac-times rec-exp 1-exp *-commutative
1×+-commutative unpow-prod-down flip3-+ associate-*r/ sum-log un-div-inv flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr sqr-pow
Counts
3 → 87
Calls
3 calls:
7.0ms
(+ (pow (* (* (- z t) x) (/ 1 y)) 1) t)
10.0ms
(* (- z t) x)
19.0ms
(* (* (- z t) x) (/ 1 y))

series105.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (pow (* (* (- z t) x) (/ 1 y)) 1) t)
32.0ms
(* (- z t) x)
41.0ms
(* (* (- z t) x) (/ 1 y))

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0421504
12014418
25003385

prune207.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes140.0ms

Accuracy

31.8% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.4b

bsearch58.0ms

Steps
ItersRangePoint
9
2.4634856426385367e+30
1.096063319062125e+38
1.5849138783300118e+35
3
-7.9142871377183805e-146
-6.822090763452249e-146
-7.299926677193682e-146

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04119
14519
24519

end0.0ms

sample555.0ms

Algorithm
intervals
Results
288.0ms10692×body80valid