Details

Time bar (total: 7.2s)

sample29.0ms

Algorithm
intervals
Results
16.0ms337×body80valid

simplify133.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:
13.0ms
(+ (* (/ x y) (- z t)) t)
17.0ms
(* (/ x y) (- z t))

series98.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ (* (/ x y) (- z t)) t)
58.0ms
(* (/ x y) (- z t))

simplify65.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0468779
11866547
25001533

prune260.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.7b
(pow (cbrt z) 3)
3.5b
(* (/ x y) t)
4.7b
(/ (pow (cbrt z) 3) (/ y x))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
415×times-frac
226×add-sqr-sqrt
221×add-cube-cbrt *-un-lft-identity
93×cbrt-prod
90×unpow-prod-down cube-prod
23×add-exp-log
21×div-inv
18×associate-/l*
15×cube-mult unpow3 sqr-pow
14×add-cbrt-cube
13×associate-*l* associate-/r*
10×div-exp
7×pow1
4×cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-to-exp pow-unpow associate-*r* pow-exp
2×pow-pow pow1/3 prod-exp cbrt-unprod unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r/ *-commutative rem-cube-cbrt
Counts
4 → 365
Calls
4 calls:
0.0ms
(cbrt z)
2.0ms
(pow (cbrt z) 3)
8.0ms
(* (/ x y) t)
16.0ms
(/ (pow (cbrt z) 3) (/ y x))

series522.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt z)
247.0ms
(pow (cbrt z) 3)
20.0ms
(* (/ x y) t)
55.0ms
(/ (pow (cbrt z) 3) (/ y x))

simplify64.0ms

Algorithm
egg-herbie
Counts
377 → 377
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
09962791
150012499

prune846.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* -1 z) (- (/ y x))) (* (/ x y) t))
0.5b
(* (/ x y) (fma (- t) 1 t))
3.5b
(* (/ x y) t)
4.7b
(/ (* -1 z) (- (/ y x)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
182×times-frac
92×add-sqr-sqrt
82×add-cube-cbrt *-un-lft-identity
52×distribute-lft-neg-in distribute-rgt-neg-in
35×fma-neg prod-diff
30×associate-/r*
26×associate-*l*
19×add-exp-log add-cbrt-cube
13×div-inv
8×pow1
6×associate-*r* add-log-exp
5×prod-exp cbrt-unprod
4×cbrt-undiv expm1-log1p-u neg-mul-1 div-exp log1p-expm1-u unswap-sqr
3×associate-*l/ associate-/r/ distribute-neg-frac
2×pow-prod-down *-commutative fma-udef
1×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in mul-1-neg diff-log distribute-frac-neg clear-num frac-sub flip-- associate-/l*
Counts
4 → 234
Calls
4 calls:
65.0ms
(- (/ (* -1 z) (- (/ y x))) (* (/ x y) t))
8.0ms
(* (/ x y) (fma (- t) 1 t))
8.0ms
(* (/ x y) t)
10.0ms
(/ (* -1 z) (- (/ y x)))

series1.6s

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (/ (* -1 z) (- (/ y x))) (* (/ x y) t))
1.5s
(* (/ x y) (fma (- t) 1 t))
26.0ms
(* (/ x y) t)
22.0ms
(/ (* -1 z) (- (/ y x)))

simplify102.0ms

Algorithm
egg-herbie
Counts
246 → 246
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
08251724
137181557
250011546

prune841.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt t) (cbrt t))
1.4b
(* (* (/ x y) (* (cbrt t) (cbrt t))) (cbrt t))
2.5b
(* (/ x y) (* (cbrt t) (cbrt t)))
4.7b
(/ (* -1 z) (- (/ y x)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
62×add-sqr-sqrt
51×add-cube-cbrt *-un-lft-identity
41×add-exp-log
30×associate-/r*
26×distribute-lft-neg-in distribute-rgt-neg-in add-cbrt-cube
25×pow1
20×associate-*l*
19×cbrt-prod prod-exp cbrt-unprod
13×associate-*r*
11×pow-prod-down
6×cbrt-undiv pow1/3 swap-sqr div-exp div-inv unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l/ *-commutative
2×neg-mul-1 pow-sqr pow-prod-up
1×pow2 frac-2neg mul-1-neg pow-plus distribute-frac-neg clear-num associate-/r/ distribute-neg-frac associate-/l*
Counts
4 → 189
Calls
4 calls:
6.0ms
(* (cbrt t) (cbrt t))
43.0ms
(* (* (/ x y) (* (cbrt t) (cbrt t))) (cbrt t))
14.0ms
(* (/ x y) (* (cbrt t) (cbrt t)))
10.0ms
(/ (* -1 z) (- (/ y x)))

series400.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(* (cbrt t) (cbrt t))
50.0ms
(* (* (/ x y) (* (cbrt t) (cbrt t))) (cbrt t))
118.0ms
(* (/ x y) (* (cbrt t) (cbrt t)))
19.0ms
(/ (* -1 z) (- (/ y x)))

simplify116.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
07481253
139421054
25001992

prune689.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes187.0ms

Accuracy

-3.7% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 1.9b

bsearch100.0ms

Steps
ItersRangePoint
9
2.410908475436866e-169
1.4016703802898948e-160
2.3875658913476526e-163
10
-2.3790733343328837e+126
-3.958996747005741e+116
-4.409213620959746e+116

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04521
15121
25121

end0.0ms

sample784.0ms

Algorithm
intervals
Results
506.0ms10530×body80valid